TSTP Solution File: SWV622-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV622-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n008.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 19:20:52 EDT 2022
% Result : Unknown 3.31s 3.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV622-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 02:45:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running in mono-core mode
% 0.49/0.68 % Orienting using strategy Equiv(ClausalAll)
% 0.49/0.68 % Orientation found
% 0.49/0.68 % 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_92812e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d823bd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_612059 | grep -v "SZS"
% 0.49/0.69
% 0.49/0.69 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.49/0.69
% 0.49/0.69 %
% 0.49/0.69 % ------ iProver source info
% 0.49/0.69
% 0.49/0.69 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.49/0.69 % git: non_committed_changes: true
% 0.49/0.69 % git: last_make_outside_of_git: true
% 0.49/0.69
% 0.49/0.69 %
% 0.49/0.69 % ------ Input Options
% 0.49/0.69
% 0.49/0.69 % --out_options all
% 0.49/0.69 % --tptp_safe_out true
% 0.49/0.69 % --problem_path ""
% 0.49/0.69 % --include_path ""
% 0.49/0.69 % --clausifier .//eprover
% 0.49/0.69 % --clausifier_options --tstp-format
% 0.49/0.69 % --stdin false
% 0.49/0.69 % --dbg_backtrace false
% 0.49/0.69 % --dbg_dump_prop_clauses false
% 0.49/0.69 % --dbg_dump_prop_clauses_file -
% 0.49/0.69 % --dbg_out_stat false
% 0.49/0.69
% 0.49/0.69 % ------ General Options
% 0.49/0.69
% 0.49/0.69 % --fof false
% 0.49/0.69 % --time_out_real 150.
% 0.49/0.69 % --time_out_prep_mult 0.2
% 0.49/0.69 % --time_out_virtual -1.
% 0.49/0.69 % --schedule none
% 0.49/0.69 % --ground_splitting input
% 0.49/0.69 % --splitting_nvd 16
% 0.49/0.69 % --non_eq_to_eq false
% 0.49/0.69 % --prep_gs_sim true
% 0.49/0.69 % --prep_unflatten false
% 0.49/0.69 % --prep_res_sim true
% 0.49/0.69 % --prep_upred true
% 0.49/0.69 % --res_sim_input true
% 0.49/0.69 % --clause_weak_htbl true
% 0.49/0.69 % --gc_record_bc_elim false
% 0.49/0.69 % --symbol_type_check false
% 0.49/0.69 % --clausify_out false
% 0.49/0.69 % --large_theory_mode false
% 0.49/0.69 % --prep_sem_filter none
% 0.49/0.69 % --prep_sem_filter_out false
% 0.49/0.69 % --preprocessed_out false
% 0.49/0.69 % --sub_typing false
% 0.49/0.69 % --brand_transform false
% 0.49/0.69 % --pure_diseq_elim true
% 0.49/0.69 % --min_unsat_core false
% 0.49/0.69 % --pred_elim true
% 0.49/0.69 % --add_important_lit false
% 0.49/0.69 % --soft_assumptions false
% 0.49/0.69 % --reset_solvers false
% 0.49/0.69 % --bc_imp_inh []
% 0.49/0.69 % --conj_cone_tolerance 1.5
% 0.49/0.69 % --prolific_symb_bound 500
% 0.49/0.69 % --lt_threshold 2000
% 0.49/0.69
% 0.49/0.69 % ------ SAT Options
% 0.49/0.69
% 0.49/0.69 % --sat_mode false
% 0.49/0.69 % --sat_fm_restart_options ""
% 0.49/0.69 % --sat_gr_def false
% 0.49/0.69 % --sat_epr_types true
% 0.49/0.69 % --sat_non_cyclic_types false
% 0.49/0.69 % --sat_finite_models false
% 0.49/0.69 % --sat_fm_lemmas false
% 0.49/0.69 % --sat_fm_prep false
% 0.49/0.69 % --sat_fm_uc_incr true
% 0.49/0.69 % --sat_out_model small
% 0.49/0.69 % --sat_out_clauses false
% 0.49/0.69
% 0.49/0.69 % ------ QBF Options
% 0.49/0.69
% 0.49/0.69 % --qbf_mode false
% 0.49/0.69 % --qbf_elim_univ true
% 0.49/0.69 % --qbf_sk_in true
% 0.49/0.69 % --qbf_pred_elim true
% 0.49/0.69 % --qbf_split 32
% 0.49/0.69
% 0.49/0.69 % ------ BMC1 Options
% 0.49/0.69
% 0.49/0.69 % --bmc1_incremental false
% 0.49/0.69 % --bmc1_axioms reachable_all
% 0.49/0.69 % --bmc1_min_bound 0
% 0.49/0.69 % --bmc1_max_bound -1
% 0.49/0.69 % --bmc1_max_bound_default -1
% 0.49/0.69 % --bmc1_symbol_reachability true
% 0.49/0.69 % --bmc1_property_lemmas false
% 0.49/0.69 % --bmc1_k_induction false
% 0.49/0.69 % --bmc1_non_equiv_states false
% 0.49/0.69 % --bmc1_deadlock false
% 0.49/0.69 % --bmc1_ucm false
% 0.49/0.69 % --bmc1_add_unsat_core none
% 0.49/0.69 % --bmc1_unsat_core_children false
% 0.49/0.69 % --bmc1_unsat_core_extrapolate_axioms false
% 0.49/0.69 % --bmc1_out_stat full
% 0.49/0.69 % --bmc1_ground_init false
% 0.49/0.69 % --bmc1_pre_inst_next_state false
% 0.49/0.69 % --bmc1_pre_inst_state false
% 0.49/0.69 % --bmc1_pre_inst_reach_state false
% 0.49/0.69 % --bmc1_out_unsat_core false
% 0.49/0.69 % --bmc1_aig_witness_out false
% 0.49/0.69 % --bmc1_verbose false
% 0.49/0.69 % --bmc1_dump_clauses_tptp false
% 1.58/1.92 % --bmc1_dump_unsat_core_tptp false
% 1.58/1.92 % --bmc1_dump_file -
% 1.58/1.92 % --bmc1_ucm_expand_uc_limit 128
% 1.58/1.92 % --bmc1_ucm_n_expand_iterations 6
% 1.58/1.92 % --bmc1_ucm_extend_mode 1
% 1.58/1.92 % --bmc1_ucm_init_mode 2
% 1.58/1.92 % --bmc1_ucm_cone_mode none
% 1.58/1.92 % --bmc1_ucm_reduced_relation_type 0
% 1.58/1.92 % --bmc1_ucm_relax_model 4
% 1.58/1.92 % --bmc1_ucm_full_tr_after_sat true
% 1.58/1.92 % --bmc1_ucm_expand_neg_assumptions false
% 1.58/1.92 % --bmc1_ucm_layered_model none
% 1.58/1.92 % --bmc1_ucm_max_lemma_size 10
% 1.58/1.92
% 1.58/1.92 % ------ AIG Options
% 1.58/1.92
% 1.58/1.92 % --aig_mode false
% 1.58/1.92
% 1.58/1.92 % ------ Instantiation Options
% 1.58/1.92
% 1.58/1.92 % --instantiation_flag true
% 1.58/1.92 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.58/1.92 % --inst_solver_per_active 750
% 1.58/1.92 % --inst_solver_calls_frac 0.5
% 1.58/1.92 % --inst_passive_queue_type priority_queues
% 1.58/1.92 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.58/1.92 % --inst_passive_queues_freq [25;2]
% 1.58/1.92 % --inst_dismatching true
% 1.58/1.92 % --inst_eager_unprocessed_to_passive true
% 1.58/1.92 % --inst_prop_sim_given true
% 1.58/1.92 % --inst_prop_sim_new false
% 1.58/1.92 % --inst_orphan_elimination true
% 1.58/1.92 % --inst_learning_loop_flag true
% 1.58/1.92 % --inst_learning_start 3000
% 1.58/1.92 % --inst_learning_factor 2
% 1.58/1.92 % --inst_start_prop_sim_after_learn 3
% 1.58/1.92 % --inst_sel_renew solver
% 1.58/1.92 % --inst_lit_activity_flag true
% 1.58/1.92 % --inst_out_proof true
% 1.58/1.92
% 1.58/1.92 % ------ Resolution Options
% 1.58/1.92
% 1.58/1.92 % --resolution_flag true
% 1.58/1.92 % --res_lit_sel kbo_max
% 1.58/1.92 % --res_to_prop_solver none
% 1.58/1.92 % --res_prop_simpl_new false
% 1.58/1.92 % --res_prop_simpl_given false
% 1.58/1.92 % --res_passive_queue_type priority_queues
% 1.58/1.92 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.58/1.92 % --res_passive_queues_freq [15;5]
% 1.58/1.92 % --res_forward_subs full
% 1.58/1.92 % --res_backward_subs full
% 1.58/1.92 % --res_forward_subs_resolution true
% 1.58/1.92 % --res_backward_subs_resolution true
% 1.58/1.92 % --res_orphan_elimination false
% 1.58/1.92 % --res_time_limit 1000.
% 1.58/1.92 % --res_out_proof true
% 1.58/1.92 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_92812e.s
% 1.58/1.92 % --modulo true
% 1.58/1.92
% 1.58/1.92 % ------ Combination Options
% 1.58/1.92
% 1.58/1.92 % --comb_res_mult 1000
% 1.58/1.92 % --comb_inst_mult 300
% 1.58/1.92 % ------
% 1.58/1.92
% 1.58/1.92 % ------ Parsing...% successful
% 1.58/1.92
% 1.58/1.92 % ------ 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 %
% 1.58/1.92
% 1.58/1.92 % ------ Proving...
% 1.58/1.92 % ------ Problem Properties
% 1.58/1.92
% 1.58/1.92 %
% 1.58/1.92 % EPR false
% 1.58/1.92 % Horn false
% 1.58/1.92 % Has equality true
% 1.58/1.92
% 1.58/1.92 % % ------ Input Options Time Limit: Unbounded
% 1.58/1.92
% 1.58/1.92
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 Compiling...
% 1.58/1.92 Loading plugin: done.
% 1.58/1.92 % % ------ Current options:
% 1.58/1.92
% 1.58/1.92 % ------ Input Options
% 1.58/1.92
% 1.58/1.92 % --out_options all
% 1.58/1.92 % --tptp_safe_out true
% 1.58/1.92 % --problem_path ""
% 1.58/1.92 % --include_path ""
% 1.58/1.92 % --clausifier .//eprover
% 1.58/1.92 % --clausifier_options --tstp-format
% 1.58/1.92 % --stdin false
% 1.58/1.92 % --dbg_backtrace false
% 1.58/1.92 % --dbg_dump_prop_clauses false
% 1.58/1.92 % --dbg_dump_prop_clauses_file -
% 1.58/1.92 % --dbg_out_stat false
% 1.58/1.92
% 1.58/1.92 % ------ General Options
% 1.58/1.92
% 1.58/1.92 % --fof false
% 1.58/1.92 % --time_out_real 150.
% 1.58/1.92 % --time_out_prep_mult 0.2
% 1.58/1.92 % --time_out_virtual -1.
% 1.58/1.92 % --schedule none
% 1.58/1.92 % --ground_splitting input
% 1.58/1.92 % --splitting_nvd 16
% 1.58/1.92 % --non_eq_to_eq false
% 1.58/1.92 % --prep_gs_sim true
% 1.58/1.92 % --prep_unflatten false
% 1.58/1.92 % --prep_res_sim true
% 1.58/1.92 % --prep_upred true
% 1.58/1.92 % --res_sim_input true
% 1.58/1.92 % --clause_weak_htbl true
% 1.58/1.92 % --gc_record_bc_elim false
% 1.58/1.92 % --symbol_type_check false
% 1.58/1.92 % --clausify_out false
% 1.58/1.92 % --large_theory_mode false
% 1.58/1.92 % --prep_sem_filter none
% 1.58/1.92 % --prep_sem_filter_out false
% 1.58/1.92 % --preprocessed_out false
% 1.58/1.92 % --sub_typing false
% 1.58/1.92 % --brand_transform false
% 1.58/1.92 % --pure_diseq_elim true
% 1.58/1.92 % --min_unsat_core false
% 1.58/1.92 % --pred_elim true
% 1.58/1.92 % --add_important_lit false
% 1.58/1.92 % --soft_assumptions false
% 1.58/1.92 % --reset_solvers false
% 1.58/1.92 % --bc_imp_inh []
% 1.58/1.92 % --conj_cone_tolerance 1.5
% 1.58/1.92 % --prolific_symb_bound 500
% 1.58/1.92 % --lt_threshold 2000
% 1.58/1.92
% 1.58/1.92 % ------ SAT Options
% 1.58/1.92
% 1.58/1.92 % --sat_mode false
% 1.58/1.92 % --sat_fm_restart_options ""
% 1.58/1.92 % --sat_gr_def false
% 1.58/1.92 % --sat_epr_types true
% 1.58/1.92 % --sat_non_cyclic_types false
% 1.58/1.92 % --sat_finite_models false
% 1.58/1.92 % --sat_fm_lemmas false
% 1.58/1.92 % --sat_fm_prep false
% 1.58/1.92 % --sat_fm_uc_incr true
% 1.58/1.92 % --sat_out_model small
% 1.58/1.92 % --sat_out_clauses false
% 1.58/1.92
% 1.58/1.92 % ------ QBF Options
% 1.58/1.92
% 1.58/1.92 % --qbf_mode false
% 1.58/1.92 % --qbf_elim_univ true
% 1.58/1.92 % --qbf_sk_in true
% 1.58/1.92 % --qbf_pred_elim true
% 1.58/1.92 % --qbf_split 32
% 1.58/1.92
% 1.58/1.92 % ------ BMC1 Options
% 1.58/1.92
% 1.58/1.92 % --bmc1_incremental false
% 1.58/1.92 % --bmc1_axioms reachable_all
% 1.58/1.92 % --bmc1_min_bound 0
% 1.58/1.92 % --bmc1_max_bound -1
% 1.58/1.92 % --bmc1_max_bound_default -1
% 1.58/1.92 % --bmc1_symbol_reachability true
% 1.58/1.92 % --bmc1_property_lemmas false
% 1.58/1.92 % --bmc1_k_induction false
% 1.58/1.92 % --bmc1_non_equiv_states false
% 1.58/1.92 % --bmc1_deadlock false
% 1.58/1.92 % --bmc1_ucm false
% 1.58/1.92 % --bmc1_add_unsat_core none
% 1.58/1.92 % --bmc1_unsat_core_children false
% 1.58/1.92 % --bmc1_unsat_core_extrapolate_axioms false
% 1.58/1.92 % --bmc1_out_stat full
% 1.58/1.92 % --bmc1_ground_init false
% 1.58/1.92 % --bmc1_pre_inst_next_state false
% 1.58/1.92 % --bmc1_pre_inst_state false
% 1.58/1.92 % --bmc1_pre_inst_reach_state false
% 1.58/1.92 % --bmc1_out_unsat_core false
% 1.58/1.92 % --bmc1_aig_witness_out false
% 1.58/1.92 % --bmc1_verbose false
% 1.58/1.92 % --bmc1_dump_clauses_tptp false
% 1.58/1.92 % --bmc1_dump_unsat_core_tptp false
% 1.58/1.92 % --bmc1_dump_file -
% 1.58/1.92 % --bmc1_ucm_expand_uc_limit 128
% 1.58/1.92 % --bmc1_ucm_n_expand_iterations 6
% 1.58/1.92 % --bmc1_ucm_extend_mode 1
% 1.58/1.92 % --bmc1_ucm_init_mode 2
% 1.58/1.92 % --bmc1_ucm_cone_mode none
% 1.58/1.92 % --bmc1_ucm_reduced_relation_type 0
% 1.58/1.92 % --bmc1_ucm_relax_model 4
% 1.58/1.92 % --bmc1_ucm_full_tr_after_sat true
% 1.58/1.92 % --bmc1_ucm_expand_neg_assumptions false
% 1.58/1.92 % --bmc1_ucm_layered_model none
% 1.58/1.92 % --bmc1_ucm_max_lemma_size 10
% 1.58/1.92
% 1.58/1.92 % ------ AIG Options
% 1.58/1.92
% 1.58/1.92 % --aig_mode false
% 1.58/1.92
% 1.58/1.92 % ------ Instantiation Options
% 1.58/1.92
% 1.58/1.92 % --instantiation_flag true
% 1.58/1.92 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.58/1.92 % --inst_solver_per_active 750
% 1.58/1.92 % --inst_solver_calls_frac 0.5
% 1.58/1.92 % --inst_passive_queue_type priority_queues
% 1.58/1.92 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.58/1.92 % --inst_passive_queues_freq [25;2]
% 1.58/1.92 % --inst_dismatching true
% 1.58/1.92 % --inst_eager_unprocessed_to_passive true
% 1.58/1.92 % --inst_prop_sim_given true
% 1.58/1.92 % --inst_prop_sim_new false
% 1.58/1.92 % --inst_orphan_elimination true
% 1.58/1.92 % --inst_learning_loop_flag true
% 1.58/1.92 % --inst_learning_start 3000
% 1.58/1.92 % --inst_learning_factor 2
% 1.58/1.92 % --inst_start_prop_sim_after_learn 3
% 1.58/1.92 % --inst_sel_renew solver
% 1.58/1.92 % --inst_lit_activity_flag true
% 1.58/1.92 % --inst_out_proof true
% 1.58/1.92
% 1.58/1.92 % ------ Resolution Options
% 1.58/1.92
% 1.58/1.92 % --resolution_flag true
% 1.58/1.92 % --res_lit_sel kbo_max
% 1.58/1.92 % --res_to_prop_solver none
% 1.58/1.92 % --res_prop_simpl_new false
% 1.58/1.92 % --res_prop_simpl_given false
% 1.58/1.92 % --res_passive_queue_type priority_queues
% 1.58/1.92 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.58/1.92 % --res_passive_queues_freq [15;5]
% 1.58/1.92 % --res_forward_subs full
% 1.58/1.92 % --res_backward_subs full
% 1.58/1.92 % --res_forward_subs_resolution true
% 1.58/1.92 % --res_backward_subs_resolution true
% 1.58/1.92 % --res_orphan_elimination false
% 1.58/1.92 % --res_time_limit 1000.
% 1.58/1.92 % --res_out_proof true
% 1.58/1.92 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_92812e.s
% 1.58/1.92 % --modulo true
% 1.58/1.92
% 1.58/1.92 % ------ Combination Options
% 1.58/1.92
% 1.58/1.92 % --comb_res_mult 1000
% 1.58/1.92 % --comb_inst_mult 300
% 1.58/1.92 % ------
% 1.58/1.92
% 1.58/1.92
% 1.58/1.92
% 1.58/1.92 % ------ Proving...
% 1.58/1.92 % warning: shown sat in sat incomplete mode
% 1.58/1.92 %
% 1.58/1.92
% 1.58/1.92
% 1.58/1.92
% 1.58/1.92
% 1.58/1.92 cnf(c_3612,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.58/1.92 | ~ c_Int_Oiszero(X1,X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5135_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15707,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.58/1.92 | ~ c_Int_Oiszero(X1,X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3612]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15708,plain,
% 1.58/1.92 ( ~ c_Int_Oiszero(X0,X1)
% 1.58/1.92 | ~ class_Ring__and__Field_Osemiring__1(X1)
% 1.58/1.92 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15707]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3606,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5133_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15695,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3606]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15696,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15695]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3603,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5132_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15689,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3603]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15690,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15689]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3569,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5119_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15621,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3569]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15622,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15621]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3565,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5118_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15613,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3565]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15614,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15613]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3551,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5113_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15585,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3551]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15586,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15585]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3545,plain,
% 1.58/1.92 ( ~ class_Int_Oring__char__0(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5111_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15573,plain,
% 1.58/1.92 ( ~ class_Int_Oring__char__0(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3545]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15574,plain,
% 1.58/1.92 ( ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | ~ class_Int_Oring__char__0(X0)
% 1.58/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15573]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3541,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5110_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15565,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3541]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15566,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15565]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3522,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.58/1.92 | X1 = X2
% 1.58/1.92 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5102_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15527,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.58/1.92 | X1 = X2
% 1.58/1.92 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3522]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15528,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.58/1.92 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = X2 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15527]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3422,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5054_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15327,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3422]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15328,plain,
% 1.58/1.92 ( ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15327]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3415,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5051_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15313,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3415]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15314,plain,
% 1.58/1.92 ( ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15313]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3409,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5049_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15301,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3409]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15302,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15301]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3400,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5046_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15283,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3400]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15284,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15283]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3393,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5043_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15269,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3393]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15270,plain,
% 1.58/1.92 ( ~ class_Power_Opower(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15269]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3389,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5042_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15261,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3389]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15262,plain,
% 1.58/1.92 ( ~ class_Power_Opower(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15261]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3386,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 1.58/1.92 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5041_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15255,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 1.58/1.92 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3386]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15256,plain,
% 1.58/1.92 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.58/1.92 | ~ class_Ring__and__Field_Oabs__if(X1)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15255]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3383,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5040_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15249,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3383]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15250,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15249]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3380,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5039_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15243,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3380]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15244,plain,
% 1.58/1.92 ( ~ class_Power_Opower(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15243]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3366,plain,
% 1.58/1.92 ( ~ class_Orderings_Olinorder(X0)
% 1.58/1.92 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 1.58/1.92 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5034_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15215,plain,
% 1.58/1.92 ( ~ class_Orderings_Olinorder(X0)
% 1.58/1.92 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 1.58/1.92 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3366]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15216,plain,
% 1.58/1.92 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.58/1.92 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 1.58/1.92 | ~ class_Orderings_Olinorder(X1)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15215]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3328,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5017_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15139,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3328]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15140,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Oordered__field(X0)
% 1.58/1.92 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15139]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3325,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5016_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15133,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3325]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15134,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.58/1.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15133]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3319,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.58/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5014_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15121,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.58/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.58/1.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3319]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15122,plain,
% 1.58/1.92 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.58/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15121]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3304,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5010_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15091,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.58/1.92 | ~ class_Power_Opower(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3304]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15092,plain,
% 1.58/1.92 ( ~ class_Power_Opower(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.58/1.92 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15091]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3278,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 1.58/1.92 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5000_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15039,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 1.58/1.92 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3278]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15040,plain,
% 1.58/1.92 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.58/1.92 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.58/1.92 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15039]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3266,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 1.58/1.92 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4996_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15015,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 1.58/1.92 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3266]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15016,plain,
% 1.58/1.92 ( ~ class_Int_Onumber__ring(X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Oidom(X0)
% 1.58/1.92 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 1.58/1.92 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15015]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3262,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.58/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.58/1.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4995_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15007,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.58/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.58/1.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3262]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15008,plain,
% 1.58/1.92 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.58/1.92 | ~ class_Ring__and__Field_Osgn__if(X0)
% 1.58/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(rewriting,[status(thm)],[c_15007]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_3259,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.58/1.92 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4994_0) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15001,plain,
% 1.58/1.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.58/1.92 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.58/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.58/1.92 inference(copy,[status(esa)],[c_3259]) ).
% 1.58/1.92
% 1.58/1.92 cnf(c_15002,plain,
% 1.58/1.92 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_15001]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3255,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.71/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.92 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | X1 = X2 ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4993_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14993,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.71/1.92 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.92 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | X1 = X2 ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3255]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14994,plain,
% 1.71/1.92 ( ~ class_Int_Onumber__ring(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Oidom(X0)
% 1.71/1.92 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | X1 = X2 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14993]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3251,plain,
% 1.71/1.92 ( X0 = X1
% 1.71/1.92 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4991_2) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14985,plain,
% 1.71/1.92 ( X0 = X1
% 1.71/1.92 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3251]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14986,plain,
% 1.71/1.92 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 1.71/1.92 | X0 = X1 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14985]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3181,plain,
% 1.71/1.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4965_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14845,plain,
% 1.71/1.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3181]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14846,plain,
% 1.71/1.92 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.92 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14845]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3166,plain,
% 1.71/1.92 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.92 | X1 = X2
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4961_1) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14815,plain,
% 1.71/1.92 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.92 | X1 = X2
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3166]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14816,plain,
% 1.71/1.92 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.71/1.92 | ~ class_Orderings_Olinorder(X2)
% 1.71/1.92 | X0 = X1 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14815]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3165,plain,
% 1.71/1.92 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.92 | X1 = X2
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4961_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14813,plain,
% 1.71/1.92 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.92 | X1 = X2
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3165]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14814,plain,
% 1.71/1.92 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.71/1.92 | ~ class_Orderings_Olinorder(X2)
% 1.71/1.92 | X1 = X0 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14813]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3163,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | X1 = X2
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4960_2) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14809,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | X1 = X2
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3163]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14810,plain,
% 1.71/1.92 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.71/1.92 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.92 | X0 = X1 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14809]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3161,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.92 | X2 = X1 ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4960_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14805,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.92 | X2 = X1 ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3161]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14806,plain,
% 1.71/1.92 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.71/1.92 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.92 | X1 = X0 ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14805]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3158,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4959_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14799,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3158]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14800,plain,
% 1.71/1.92 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14799]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3155,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4958_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14793,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.92 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3155]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14794,plain,
% 1.71/1.92 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.92 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14793]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3152,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.92 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.92 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4957_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14787,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.92 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.92 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3152]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14788,plain,
% 1.71/1.92 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.71/1.92 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 1.71/1.92 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X0,X1) = c_HOL_Oone__class_Oone(X1) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14787]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3147,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Int_Onumber(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4956_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14777,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Int_Onumber(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3147]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14778,plain,
% 1.71/1.92 ( ~ class_Int_Onumber(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14777]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3142,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Int_Onumber(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4955_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14767,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Int_Onumber(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3142]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14768,plain,
% 1.71/1.92 ( ~ class_Int_Onumber(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14767]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3137,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.71/1.92 | ~ class_Power_Opower(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4954_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14757,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.71/1.92 | ~ class_Power_Opower(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3137]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14758,plain,
% 1.71/1.92 ( ~ class_Power_Opower(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14757]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3131,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.71/1.92 | ~ class_Power_Opower(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4953_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14745,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.71/1.92 | ~ class_Power_Opower(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3131]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14746,plain,
% 1.71/1.92 ( ~ class_Power_Opower(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14745]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3127,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.71/1.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4952_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14737,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.71/1.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3127]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14738,plain,
% 1.71/1.92 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Osgn__if(X0)
% 1.71/1.92 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.71/1.92 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14737]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3122,plain,
% 1.71/1.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.92 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.92 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4950_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14727,plain,
% 1.71/1.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.92 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.92 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3122]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14728,plain,
% 1.71/1.92 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.92 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 1.71/1.92 | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14727]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3119,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 1.71/1.92 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.92 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4949_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14721,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 1.71/1.92 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.92 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3119]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14722,plain,
% 1.71/1.92 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.92 | ~ class_Ring__and__Field_Oabs__if(X1)
% 1.71/1.92 | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14721]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3113,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.92 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4947_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14709,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.92 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.92 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.71/1.92 inference(copy,[status(esa)],[c_3113]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14710,plain,
% 1.71/1.92 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.71/1.92 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 1.71/1.92 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 1.71/1.92 inference(rewriting,[status(thm)],[c_14709]) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_3103,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Int_Onumber(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.92 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4945_0) ).
% 1.71/1.92
% 1.71/1.92 cnf(c_14689,plain,
% 1.71/1.92 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.92 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.92 | ~ class_Int_Onumber(X0)
% 1.71/1.92 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.92 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_3103]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14690,plain,
% 1.71/1.93 ( ~ class_Int_Onumber(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14689]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_3092,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4940_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14667,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_3092]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14668,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 1.71/1.93 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14667]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_3088,plain,
% 1.71/1.93 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.93 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4939_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14659,plain,
% 1.71/1.93 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.93 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_3088]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14660,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 1.71/1.93 | ~ class_Orderings_Olinorder(X1)
% 1.71/1.93 | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14659]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_3076,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4935_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14635,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_3076]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14636,plain,
% 1.71/1.93 ( ~ class_Int_Onumber(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14635]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_3026,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.71/1.93 | c_Suc(X0) = X1 ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4912_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14535,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.71/1.93 | c_Suc(X0) = X1 ),
% 1.71/1.93 inference(copy,[status(esa)],[c_3026]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14536,plain,
% 1.71/1.93 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.93 | c_Suc(X0) = X1 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14535]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_3014,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4908_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14511,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_3014]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14512,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 1.71/1.93 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14511]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2989,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.93 | X1 = X2 ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4900_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14461,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.93 | X1 = X2 ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2989]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14462,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.93 | ~ class_Orderings_Oorder(X2)
% 1.71/1.93 | X0 = X1 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14461]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2981,plain,
% 1.71/1.93 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | X1 = X2
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4898_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14445,plain,
% 1.71/1.93 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | X1 = X2
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2981]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14446,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.93 | ~ class_Orderings_Olinorder(X2)
% 1.71/1.93 | X0 = X1 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14445]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2973,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.93 | X2 = X1 ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4896_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14429,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.93 | X2 = X1 ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2973]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14430,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.93 | ~ class_Orderings_Oorder(X2)
% 1.71/1.93 | X1 = X0 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14429]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2966,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.93 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4894_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14415,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.93 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2966]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14416,plain,
% 1.71/1.93 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_Int_Onumber__ring(X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 1.71/1.93 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_Int_Onumber__class_Onumber__of(X0,X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14415]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2957,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4891_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14397,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2957]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14398,plain,
% 1.71/1.93 ( ~ class_Int_Onumber(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14397]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2952,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4890_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14387,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2952]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14388,plain,
% 1.71/1.93 ( ~ class_Int_Onumber(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 1.71/1.93 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14387]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2946,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4888_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14375,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2946]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14376,plain,
% 1.71/1.93 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.71/1.93 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 1.71/1.93 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1) = c_Power_Opower__class_Opower(X2,X0,X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14375]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2925,plain,
% 1.71/1.93 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4877_2) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14333,plain,
% 1.71/1.93 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2925]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14334,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14333]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2882,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4863_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14247,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2882]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14248,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14247]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2875,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.71/1.93 | ~ c_lessequals(X1,X0,tc_nat)
% 1.71/1.93 | X0 = X1 ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4860_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14233,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.71/1.93 | ~ c_lessequals(X1,X0,tc_nat)
% 1.71/1.93 | X0 = X1 ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2875]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14234,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 1.71/1.93 | X1 = X0 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14233]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2854,plain,
% 1.71/1.93 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X1,X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4853_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14191,plain,
% 1.71/1.93 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X1,X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2854]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14192,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X0,X1)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 1.71/1.93 | ~ class_Orderings_Olinorder(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14191]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2851,plain,
% 1.71/1.93 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4852_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14185,plain,
% 1.71/1.93 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2851]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14186,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.71/1.93 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14185]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2822,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | X1 = X2
% 1.71/1.93 | ~ c_lessequals(X2,X1,X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4842_2) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14127,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | X1 = X2
% 1.71/1.93 | ~ c_lessequals(X2,X1,X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2822]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14128,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | ~ c_lessequals(X1,X0,X2)
% 1.71/1.93 | ~ class_Orderings_Oorder(X2)
% 1.71/1.93 | X1 = X0 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14127]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2820,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | ~ c_lessequals(X2,X1,X0)
% 1.71/1.93 | X1 = X2 ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4842_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14123,plain,
% 1.71/1.93 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | ~ c_lessequals(X2,X1,X0)
% 1.71/1.93 | X1 = X2 ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2820]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14124,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | ~ c_lessequals(X1,X0,X2)
% 1.71/1.93 | ~ class_Orderings_Oorder(X2)
% 1.71/1.93 | X0 = X1 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14123]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2812,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4840_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14107,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2812]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14108,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14107]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2804,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4838_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14091,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2804]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14092,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14091]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2799,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4836_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14081,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2799]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14082,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14081]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2796,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4835_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14075,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2796]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14076,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.71/1.93 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14075]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2793,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4834_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14069,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2793]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14070,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.71/1.93 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14069]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2790,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4833_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14063,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2790]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14064,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.71/1.93 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14063]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2787,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4832_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14057,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2787]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14058,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.71/1.93 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14057]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2777,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.71/1.93 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.93 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.71/1.93 | X2 = X3 ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4829_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14037,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.71/1.93 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.93 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.71/1.93 | X2 = X3 ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2777]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14038,plain,
% 1.71/1.93 ( ~ class_Int_Onumber__ring(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oidom(X0)
% 1.71/1.93 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.71/1.93 | X2 = X3 ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14037]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2772,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4827_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14027,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2772]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14028,plain,
% 1.71/1.93 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14027]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2769,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4826_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14021,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2769]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14022,plain,
% 1.71/1.93 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14021]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2766,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4825_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14015,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2766]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14016,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,X2,X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14015]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2763,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_lessequals(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4824_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14009,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_lessequals(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2763]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14010,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.93 | c_lessequals(X0,X2,X1)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14009]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2760,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4823_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14003,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2760]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_14004,plain,
% 1.71/1.93 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_14003]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2757,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4822_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13997,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.93 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2757]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13998,plain,
% 1.71/1.93 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.71/1.93 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.93 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13997]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2754,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4821_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13991,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2754]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13992,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13991]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2742,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4817_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13967,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2742]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13968,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13967]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2730,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4813_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13943,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2730]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13944,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13943]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2724,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4811_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13931,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2724]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13932,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13931]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2703,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4804_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13889,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2703]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13890,plain,
% 1.71/1.93 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13889]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2663,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4793_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13809,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2663]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13810,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13809]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2651,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4789_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13785,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 1.71/1.93 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2651]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13786,plain,
% 1.71/1.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13785]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2647,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.93 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4788_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13777,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.93 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2647]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13778,plain,
% 1.71/1.93 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.93 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13777]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2645,plain,
% 1.71/1.93 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.93 | c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.93 | ~ c_lessequals(X2,X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4787_2) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13773,plain,
% 1.71/1.93 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.93 | c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.93 | ~ c_lessequals(X2,X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2645]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13774,plain,
% 1.71/1.93 ( c_lessequals(X0,X1,X2)
% 1.71/1.93 | ~ c_lessequals(X1,X0,X2)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.71/1.93 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13773]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2643,plain,
% 1.71/1.93 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.93 | c_lessequals(X2,X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4787_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13769,plain,
% 1.71/1.93 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.93 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.93 | c_lessequals(X2,X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2643]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13770,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.93 | c_lessequals(X1,X0,X2)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.93 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13769]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2640,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4786_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13763,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2640]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13764,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13763]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2634,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4784_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13751,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2634]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13752,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13751]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2631,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4783_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13745,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2631]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13746,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13745]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2628,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4782_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13739,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2628]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13740,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13739]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2596,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4768_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13675,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2596]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13676,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13675]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2592,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4767_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13667,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2592]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13668,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X1)
% 1.71/1.93 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13667]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2588,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.71/1.93 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4766_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13659,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.71/1.93 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2588]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13660,plain,
% 1.71/1.93 ( c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.93 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13659]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2584,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4765_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13651,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2584]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13652,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13651]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2580,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4764_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13643,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2580]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13644,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13643]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2576,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4763_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13635,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2576]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13636,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13635]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2572,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4762_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13627,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2572]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13628,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13627]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2568,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4761_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13619,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2568]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13620,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13619]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2564,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4760_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13611,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2564]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13612,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13611]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2556,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4758_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13595,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2556]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13596,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13595]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2544,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.93 | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4754_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13571,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.93 | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2544]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13572,plain,
% 1.71/1.93 ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.71/1.93 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13571]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2538,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4752_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13559,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2538]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13560,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13559]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2532,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4750_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13547,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2532]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13548,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.71/1.93 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13547]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2526,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4748_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13535,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2526]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13536,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13535]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2523,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4747_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13529,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2523]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13530,plain,
% 1.71/1.93 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.93 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.93 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13529]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2520,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4746_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13523,plain,
% 1.71/1.93 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.93 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2520]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13524,plain,
% 1.71/1.93 ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.93 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.93 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13523]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2517,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4745_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13517,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2517]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13518,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.71/1.93 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13517]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2514,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.71/1.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4744_0) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13511,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.71/1.93 inference(copy,[status(esa)],[c_2514]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_13512,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.71/1.93 inference(rewriting,[status(thm)],[c_13511]) ).
% 1.71/1.93
% 1.71/1.93 cnf(c_2508,plain,
% 1.71/1.93 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.93 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.93 | ~ class_Int_Onumber(X0)
% 1.71/1.93 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 1.71/1.94 | X1 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X2,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4743_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13499,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 1.71/1.94 | X1 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X2,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2508]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13500,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 1.71/1.94 | X1 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X2,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13499]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2502,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0) = X2
% 1.71/1.94 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4742_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13487,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0) = X2
% 1.71/1.94 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2502]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13488,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0) = X3
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13487]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2496,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.94 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4740_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13475,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.94 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2496]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13476,plain,
% 1.71/1.94 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.71/1.94 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 1.71/1.94 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X0,X1),X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13475]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2487,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4736_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13457,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2487]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13458,plain,
% 1.71/1.94 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13457]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2483,plain,
% 1.71/1.94 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4735_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13449,plain,
% 1.71/1.94 ( ~ class_Orderings_Olinorder(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2483]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13450,plain,
% 1.71/1.94 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.71/1.94 | ~ class_Int_Onumber(X1)
% 1.71/1.94 | ~ class_Orderings_Olinorder(X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13449]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2468,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.94 | c_lessequals(X2,X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4728_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13419,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.94 | c_lessequals(X2,X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2468]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13420,plain,
% 1.71/1.94 ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 1.71/1.94 | c_lessequals(X2,X0,X1)
% 1.71/1.94 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13419]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2465,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4727_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13413,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2465]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13414,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 1.71/1.94 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13413]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2461,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4726_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13405,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ class_Int_Onumber__ring(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2461]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13406,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.94 | ~ class_Int_Onumber__ring(X1)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 1.71/1.94 | c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13405]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2446,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_lessequals(X1,X3,X0)
% 1.71/1.94 | ~ c_lessequals(X2,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4719_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13375,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_lessequals(X1,X3,X0)
% 1.71/1.94 | ~ c_lessequals(X2,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2446]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13376,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | c_lessequals(X0,X3,X2)
% 1.71/1.94 | ~ c_lessequals(X1,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13375]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2445,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.94 | c_lessequals(X1,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4719_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13373,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.94 | c_lessequals(X1,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2445]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13374,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | ~ c_lessequals(X1,X3,X2)
% 1.71/1.94 | c_lessequals(X0,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13373]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2442,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4718_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13367,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2442]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13368,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13367]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2441,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4718_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13365,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2441]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13366,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13365]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2439,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4717_2) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13361,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2439]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13362,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13361]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2437,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4717_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13357,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2437]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13358,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13357]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2434,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_lessequals(X3,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4716_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13351,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_lessequals(X3,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2434]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13352,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | c_lessequals(X3,X1,X2)
% 1.71/1.94 | ~ c_lessequals(X3,X0,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13351]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2433,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X1,X0)
% 1.71/1.94 | c_lessequals(X3,X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4716_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13349,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X1,X0)
% 1.71/1.94 | c_lessequals(X3,X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2433]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13350,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | ~ c_lessequals(X3,X0,X2)
% 1.71/1.94 | c_lessequals(X3,X1,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13349]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2430,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4715_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13343,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2430]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13344,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13343]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2429,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4715_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13341,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2429]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13342,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13341]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2427,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4714_2) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13337,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2427]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13338,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13337]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2425,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4714_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13333,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_lessequals(X3,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2425]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13334,plain,
% 1.71/1.94 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13333]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2422,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4713_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13327,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2422]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13328,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13327]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2421,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4713_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13325,plain,
% 1.71/1.94 ( ~ class_Orderings_Opreorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2421]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13326,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.71/1.94 | ~ class_Orderings_Opreorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13325]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2418,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4712_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13319,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2418]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13320,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13319]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2417,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4712_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13317,plain,
% 1.71/1.94 ( ~ class_Orderings_Oorder(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2417]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13318,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.94 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.94 | ~ class_Orderings_Oorder(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13317]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2414,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4711_1) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13311,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2414]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13312,plain,
% 1.71/1.94 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 1.71/1.94 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13311]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2413,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4711_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13309,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2413]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13310,plain,
% 1.71/1.94 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 1.71/1.94 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13309]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2407,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4709_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13297,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2407]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13298,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13297]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2404,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4708_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13291,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2404]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13292,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13291]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2386,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4703_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13255,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2386]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13256,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13255]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2377,plain,
% 1.71/1.94 ( ~ class_Divides_Osemiring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4700_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13237,plain,
% 1.71/1.94 ( ~ class_Divides_Osemiring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2377]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13238,plain,
% 1.71/1.94 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.94 | ~ class_Divides_Osemiring__div(X2)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13237]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2374,plain,
% 1.71/1.94 ( ~ class_Divides_Osemiring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4699_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13231,plain,
% 1.71/1.94 ( ~ class_Divides_Osemiring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2374]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13232,plain,
% 1.71/1.94 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.94 | ~ class_Divides_Osemiring__div(X2)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13231]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2371,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4698_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13225,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2371]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13226,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.94 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X0,X2),X2)
% 1.71/1.94 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13225]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2368,plain,
% 1.71/1.94 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.94 | X1 = X2 ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4697_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13219,plain,
% 1.71/1.94 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.94 | X1 = X2 ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2368]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13220,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 1.71/1.94 | X1 = X2 ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13219]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2328,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4684_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13139,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2328]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13140,plain,
% 1.71/1.94 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13139]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2323,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4683_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13129,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2323]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13130,plain,
% 1.71/1.94 ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.71/1.94 | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 1.71/1.94 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13129]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2319,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.94 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | X2 = X3 ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4682_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13121,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.94 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | X2 = X3 ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2319]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13122,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.94 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 1.71/1.94 | X2 = X3 ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13121]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2311,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4680_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13105,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2311]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13106,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13105]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2301,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4678_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13085,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2301]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13086,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13085]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2288,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4675_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13059,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2288]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13060,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13059]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2278,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4673_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13039,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Int_Onumber(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2278]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13040,plain,
% 1.71/1.94 ( ~ class_Int_Onumber(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 1.71/1.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13039]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2261,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4668_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13005,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2261]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_13006,plain,
% 1.71/1.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_13005]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2257,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4667_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12997,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2257]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12998,plain,
% 1.71/1.94 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12997]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2252,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4666_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12987,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2252]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12988,plain,
% 1.71/1.94 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.94 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.94 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12987]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2248,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4665_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12979,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2248]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12980,plain,
% 1.71/1.94 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12979]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2229,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4660_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12941,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2229]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12942,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12941]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2224,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4659_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12931,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2224]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12932,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12931]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2219,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4658_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12921,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2219]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12922,plain,
% 1.71/1.94 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.94 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12921]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2216,plain,
% 1.71/1.94 ( ~ class_Divides_Oring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4657_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12915,plain,
% 1.71/1.94 ( ~ class_Divides_Oring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2216]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12916,plain,
% 1.71/1.94 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.94 | ~ class_Divides_Oring__div(X2)
% 1.71/1.94 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12915]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2213,plain,
% 1.71/1.94 ( ~ class_Divides_Oring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4656_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12909,plain,
% 1.71/1.94 ( ~ class_Divides_Oring__div(X0)
% 1.71/1.94 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.94 | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2213]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12910,plain,
% 1.71/1.94 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.94 | ~ class_Divides_Oring__div(X2)
% 1.71/1.94 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12909]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2201,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4653_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12885,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2201]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12886,plain,
% 1.71/1.94 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12885]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2197,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4652_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12877,plain,
% 1.71/1.94 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2197]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12878,plain,
% 1.71/1.94 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.94 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.94 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12877]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2194,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4651_2) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12871,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2194]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12872,plain,
% 1.71/1.94 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.94 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12871]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2192,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4651_0) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12867,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(copy,[status(esa)],[c_2192]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_12868,plain,
% 1.71/1.94 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.94 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.94 inference(rewriting,[status(thm)],[c_12867]) ).
% 1.71/1.94
% 1.71/1.94 cnf(c_2189,plain,
% 1.71/1.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.94 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4650_2) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12861,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.95 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2189]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12862,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.95 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12861]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2187,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.95 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4650_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12857,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.95 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2187]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12858,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.95 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12857]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2183,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.95 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4649_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12849,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.95 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2183]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12850,plain,
% 1.71/1.95 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.95 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12849]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2178,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4648_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12839,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2178]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12840,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12839]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2175,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4647_2) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12833,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2175]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12834,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12833]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2173,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4647_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12829,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2173]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12830,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12829]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2159,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4642_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12801,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2159]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12802,plain,
% 1.71/1.95 ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.95 | ~ c_lessequals(X0,X2,X1)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12801]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2155,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4641_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12793,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2155]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12794,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12793]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2147,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4638_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12777,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2147]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12778,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12777]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2139,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4635_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12761,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2139]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12762,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12761]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2135,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 1.71/1.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4634_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12753,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 1.71/1.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2135]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12754,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12753]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2132,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4633_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12747,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2132]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12748,plain,
% 1.71/1.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.71/1.95 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12747]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2129,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4632_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12741,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2129]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12742,plain,
% 1.71/1.95 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.71/1.95 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12741]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2122,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4629_1) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12727,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2122]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12728,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12727]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2121,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4629_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12725,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2121]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12726,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12725]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2118,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4628_1) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12719,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2118]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12720,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12719]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2117,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4628_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12717,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2117]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12718,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12717]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2114,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_lessequals(X2,X1,X0)
% 1.71/1.95 | ~ c_lessequals(X4,X3,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4627_1) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12711,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_lessequals(X2,X1,X0)
% 1.71/1.95 | ~ c_lessequals(X4,X3,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2114]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12712,plain,
% 1.71/1.95 ( c_lessequals(X0,X1,X2)
% 1.71/1.95 | ~ c_lessequals(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12711]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2113,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_lessequals(X4,X3,X0)
% 1.71/1.95 | c_lessequals(X2,X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4627_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12709,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_lessequals(X4,X3,X0)
% 1.71/1.95 | c_lessequals(X2,X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2113]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12710,plain,
% 1.71/1.95 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.95 | c_lessequals(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12709]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2110,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_lessequals(X4,X3,X0)
% 1.71/1.95 | ~ c_lessequals(X2,X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4626_1) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12703,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | c_lessequals(X4,X3,X0)
% 1.71/1.95 | ~ c_lessequals(X2,X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2110]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12704,plain,
% 1.71/1.95 ( c_lessequals(X0,X1,X2)
% 1.71/1.95 | ~ c_lessequals(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12703]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2109,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_lessequals(X2,X1,X0)
% 1.71/1.95 | c_lessequals(X4,X3,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4626_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12701,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 1.71/1.95 | ~ c_lessequals(X2,X1,X0)
% 1.71/1.95 | c_lessequals(X4,X3,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2109]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12702,plain,
% 1.71/1.95 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.95 | c_lessequals(X3,X4,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 1.71/1.95 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12701]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2106,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4625_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12695,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2106]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12696,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12695]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2103,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4624_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12689,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2103]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12690,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | c_lessequals(X0,X1,X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12689]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2099,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.95 | c_lessequals(X1,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4623_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12681,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.95 | c_lessequals(X1,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2099]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12682,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 1.71/1.95 | c_lessequals(X2,X0,X1)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12681]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2095,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.71/1.95 | c_lessequals(X2,X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4622_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12673,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.71/1.95 | c_lessequals(X2,X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2095]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12674,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 1.71/1.95 | c_lessequals(X2,X0,X1)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12673]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2091,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4621_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12665,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2091]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12666,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12665]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2087,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4620_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12657,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2087]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12658,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12657]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2022,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4588_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12527,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2022]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12528,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12527]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2019,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4587_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12521,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2019]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12522,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12521]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2016,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4586_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12515,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2016]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12516,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12515]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2013,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4585_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12509,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2013]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12510,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12509]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2010,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4584_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12503,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2010]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12504,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12503]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_2007,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4583_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12497,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_2007]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12498,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12497]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1998,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4580_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12479,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1998]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12480,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12479]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1994,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4579_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12471,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1994]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12472,plain,
% 1.71/1.95 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.95 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12471]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1991,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4578_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12465,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1991]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12466,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12465]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1979,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4574_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12441,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1979]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12442,plain,
% 1.71/1.95 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 1.71/1.95 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12441]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1975,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4573_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12433,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1975]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12434,plain,
% 1.71/1.95 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 1.71/1.95 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 1.71/1.95 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12433]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1967,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4570_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12417,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1967]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12418,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12417]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1963,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4569_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12409,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1963]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12410,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12409]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1943,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4562_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12369,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1943]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12370,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12369]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1939,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4561_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12361,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1939]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12362,plain,
% 1.71/1.95 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12361]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1934,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4560_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12351,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1934]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12352,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 1.71/1.95 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12351]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1926,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4558_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12335,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1926]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12336,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12335]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1923,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4557_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12329,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1923]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12330,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.95 | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.71/1.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12329]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1920,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4556_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12323,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1920]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12324,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.95 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12323]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1916,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4555_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12315,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1916]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12316,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.71/1.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12315]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1912,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4554_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12307,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1912]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12308,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12307]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1908,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ 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)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4553_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12299,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ 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)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1908]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12300,plain,
% 1.71/1.95 ( ~ 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)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12299]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1904,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ 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)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4552_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12291,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ 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)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1904]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12292,plain,
% 1.71/1.95 ( ~ 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)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12291]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1899,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4551_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12281,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1899]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12282,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12281]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1894,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4550_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12271,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1894]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12272,plain,
% 1.71/1.95 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12271]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1889,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4549_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12261,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1889]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12262,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.71/1.95 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12261]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1884,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4548_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12251,plain,
% 1.71/1.95 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.95 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1884]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12252,plain,
% 1.71/1.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.95 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 1.71/1.95 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.95 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.71/1.95 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12251]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1880,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4547_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12243,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1880]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12244,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12243]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1877,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,tc_nat)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4546_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12237,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.95 | ~ c_lessequals(X1,X2,tc_nat)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1877]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12238,plain,
% 1.71/1.95 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.71/1.95 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,X3),c_Power_Opower__class_Opower(X2,X1,X3),X3)
% 1.71/1.95 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12237]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1873,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4545_0) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12229,plain,
% 1.71/1.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.71/1.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1873]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12230,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 1.71/1.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.71/1.95 inference(rewriting,[status(thm)],[c_12229]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_1839,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.71/1.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4533_2) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12161,plain,
% 1.71/1.95 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.71/1.95 inference(copy,[status(esa)],[c_1839]) ).
% 1.71/1.95
% 1.71/1.95 cnf(c_12162,plain,
% 1.71/1.95 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.95 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.95 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12161]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1836,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4532_2) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12155,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1836]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12156,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12155]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1830,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4531_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12143,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1830]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12144,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12143]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1822,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4529_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12127,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1822]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12128,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12127]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1818,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4528_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12119,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1818]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12120,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12119]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1814,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4527_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12111,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1814]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12112,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12111]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1810,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4526_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12103,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1810]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12104,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12103]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1806,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4525_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12095,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1806]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12096,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12095]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1802,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4524_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12087,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1802]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12088,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12087]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1798,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4523_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12079,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1798]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12080,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12079]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1774,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4517_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12031,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1774]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12032,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_12031]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1758,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4513_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11999,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1758]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_12000,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11999]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1754,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4512_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11991,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1754]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11992,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11991]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1750,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4511_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11983,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1750]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11984,plain,
% 1.71/1.96 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11983]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1746,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4510_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11975,plain,
% 1.71/1.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1746]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11976,plain,
% 1.71/1.96 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11975]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1742,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4509_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11967,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1742]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11968,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11967]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1738,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4508_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11959,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1738]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11960,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11959]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1734,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4507_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11951,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1734]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11952,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11951]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1730,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4506_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11943,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1730]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11944,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11943]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1726,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4505_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11935,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1726]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11936,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11935]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1718,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4503_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11919,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1718]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11920,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11919]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1714,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4502_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11911,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1714]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11912,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11911]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1685,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4494_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11853,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1685]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11854,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11853]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1675,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4492_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11833,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1675]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11834,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11833]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1670,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4491_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11823,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1670]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11824,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11823]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1660,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4489_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11803,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1660]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11804,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11803]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1655,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4488_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11793,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1655]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11794,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11793]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1650,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4487_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11783,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1650]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11784,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11783]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1646,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.96 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.96 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0)
% 1.71/1.96 | c_Parity_Oeven__odd__class_Oeven(X3,tc_nat) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4486_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11775,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.96 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.96 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0)
% 1.71/1.96 | c_Parity_Oeven__odd__class_Oeven(X3,tc_nat) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1646]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11776,plain,
% 1.71/1.96 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 1.71/1.96 | ~ c_lessequals(X0,X3,X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.71/1.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11775]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1643,plain,
% 1.71/1.96 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.96 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4485_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11769,plain,
% 1.71/1.96 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.96 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1643]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11770,plain,
% 1.71/1.96 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.71/1.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.96 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11769]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1640,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4484_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11763,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1640]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11764,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11763]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1636,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4483_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11755,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1636]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11756,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11755]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1633,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 1.71/1.96 | X1 = X3
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4482_2) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11749,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 1.71/1.96 | X1 = X3
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1633]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11750,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 1.71/1.96 | X1 = X2 ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11749]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1631,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | X1 = X3 ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4482_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11745,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | X1 = X3 ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1631]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11746,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.96 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 1.71/1.96 | X2 = X1 ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11745]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1627,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4481_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11737,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1627]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11738,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11737]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1623,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4480_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11729,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1623]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11730,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11729]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1619,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4479_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11721,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1619]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11722,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11721]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1615,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4478_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11713,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1615]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11714,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11713]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1611,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4477_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11705,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1611]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11706,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.96 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11705]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1608,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4476_1) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11699,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1608]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11700,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11699]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1607,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4476_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11697,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1607]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11698,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11697]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1604,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4475_1) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11691,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1604]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11692,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11691]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1603,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4475_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11689,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1603]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11690,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11689]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1599,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4474_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11681,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1599]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11682,plain,
% 1.71/1.96 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11681]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1593,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4473_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11669,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1593]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11670,plain,
% 1.71/1.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.71/1.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11669]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1587,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4472_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11657,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1587]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11658,plain,
% 1.71/1.96 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 1.71/1.96 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11657]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1584,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4471_3) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11651,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1584]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11652,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11651]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1581,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4471_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11645,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1581]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11646,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11645]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1578,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4470_3) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11639,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1578]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11640,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11639]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1575,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4470_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11633,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1575]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11634,plain,
% 1.71/1.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11633]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1570,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4469_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11623,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1570]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11624,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11623]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1566,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4468_1) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11615,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1566]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11616,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11615]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1565,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4468_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11613,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1565]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11614,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11613]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1561,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4467_1) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11605,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1561]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11606,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11605]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1560,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4467_0) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11603,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.96 inference(copy,[status(esa)],[c_1560]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_11604,plain,
% 1.71/1.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.96 inference(rewriting,[status(thm)],[c_11603]) ).
% 1.71/1.96
% 1.71/1.96 cnf(c_1555,plain,
% 1.71/1.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4466_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11593,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1555]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11594,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11593]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1550,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4465_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11583,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1550]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11584,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11583]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1545,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4464_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11573,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1545]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11574,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11573]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1540,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4463_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11563,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1540]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11564,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11563]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1535,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4462_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11553,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1535]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11554,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11553]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1530,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4461_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11543,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1530]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11544,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11543]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1526,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4460_1) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11535,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1526]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11536,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11535]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1525,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4460_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11533,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1525]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11534,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11533]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1521,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4459_1) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11525,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1521]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11526,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11525]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1520,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4459_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11523,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1520]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11524,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11523]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1515,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4458_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11513,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1515]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11514,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11513]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1510,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4457_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11503,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1510]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11504,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11503]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1505,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4456_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11493,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1505]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11494,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11493]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1500,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4455_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11483,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1500]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11484,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11483]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1495,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4454_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11473,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1495]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11474,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11473]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1489,plain,
% 1.71/1.97 ( ~ class_Divides_Osemiring__div(X0)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4452_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11461,plain,
% 1.71/1.97 ( ~ class_Divides_Osemiring__div(X0)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1489]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11462,plain,
% 1.71/1.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.71/1.97 | ~ class_Divides_Osemiring__div(X2)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X0,X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11461]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1487,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4451_2) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11457,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1487]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11458,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11457]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1485,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4451_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11453,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1485]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11454,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11453]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1481,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4450_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11445,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1481]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11446,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11445]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1477,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4449_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11437,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1477]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11438,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11437]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1475,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4448_2) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11433,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1475]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11434,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.97 | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11433]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1473,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4448_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11429,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1473]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11430,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.97 | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 1.71/1.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X0,X1),X1) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11429]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1471,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4447_2) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11425,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1471]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11426,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11425]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1469,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4447_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11421,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1469]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11422,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11421]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1467,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4446_2) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11417,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1467]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11418,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11417]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1465,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4446_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11413,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1465]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11414,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11413]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1462,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.71/1.97 | ~ c_lessequals(X2,X3,tc_nat)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4445_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11407,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.71/1.97 | ~ c_lessequals(X2,X3,tc_nat)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1462]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11408,plain,
% 1.71/1.97 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 1.71/1.97 | ~ c_lessequals(X1,X3,tc_nat)
% 1.71/1.97 | ~ c_lessequals(X0,X2,tc_nat) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11407]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1386,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4412_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11255,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1386]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11256,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Ofield(X0)
% 1.71/1.97 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11255]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1382,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,tc_nat)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.71/1.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X4,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4411_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11247,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,tc_nat)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.71/1.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X4,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1382]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11248,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.71/1.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
% 1.71/1.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11247]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1378,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.71/1.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4410_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11239,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.71/1.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1378]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11240,plain,
% 1.71/1.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 1.71/1.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11239]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1374,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.97 | ~ c_lessequals(X3,X4,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4409_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11231,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.97 | ~ c_lessequals(X3,X4,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1374]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11232,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 1.71/1.97 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11231]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1370,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4408_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11223,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1370]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11224,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,X1,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X4,X1,X2),X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 1.71/1.97 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11223]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1366,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4407_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11215,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1366]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11216,plain,
% 1.71/1.97 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.97 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11215]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1362,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_lessequals(X3,X4,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4406_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11207,plain,
% 1.71/1.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_lessequals(X3,X4,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1362]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11208,plain,
% 1.71/1.97 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 1.71/1.97 | ~ c_lessequals(X1,X4,X2)
% 1.71/1.97 | ~ c_lessequals(X0,X3,X2)
% 1.71/1.97 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11207]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1356,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4405_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11195,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1356]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11196,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.71/1.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11195]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1350,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4404_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11183,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1350]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11184,plain,
% 1.71/1.97 ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 1.71/1.97 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11183]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1346,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4403_2) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11175,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1346]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11176,plain,
% 1.71/1.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11175]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1344,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4403_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11171,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1344]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11172,plain,
% 1.71/1.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11171]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1340,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4402_2) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11163,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1340]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11164,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11163]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1338,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4402_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11159,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1338]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11160,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11159]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1334,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(X2,X3,tc_nat)
% 1.71/1.97 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4401_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11151,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(X2,X3,tc_nat)
% 1.71/1.97 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1334]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11152,plain,
% 1.71/1.97 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.97 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.71/1.97 | ~ c_lessequals(X2,X3,tc_nat)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11151]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1326,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4399_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11135,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1326]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11136,plain,
% 1.71/1.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11135]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1322,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,tc_nat)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 1.71/1.97 | c_lessequals(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4398_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11127,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,tc_nat)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 1.71/1.97 | c_lessequals(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1322]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11128,plain,
% 1.71/1.97 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 1.71/1.97 | ~ c_lessequals(X1,X3,tc_nat)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11127]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1317,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4397_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11117,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1317]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11118,plain,
% 1.71/1.97 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11117]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1312,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4396_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11107,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.97 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1312]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11108,plain,
% 1.71/1.97 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11107]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1296,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4392_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11075,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1296]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11076,plain,
% 1.71/1.97 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11075]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1280,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4388_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11043,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1280]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11044,plain,
% 1.71/1.97 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11043]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1268,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4385_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11019,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1268]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11020,plain,
% 1.71/1.97 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11019]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1264,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4384_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11011,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1264]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11012,plain,
% 1.71/1.97 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.97 | ~ c_lessequals(X3,X1,X2)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.97 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.97 inference(rewriting,[status(thm)],[c_11011]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_1260,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.71/1.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4383_0) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11003,plain,
% 1.71/1.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.71/1.97 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.97 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.71/1.97 inference(copy,[status(esa)],[c_1260]) ).
% 1.71/1.97
% 1.71/1.97 cnf(c_11004,plain,
% 1.71/1.97 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.98 | ~ c_lessequals(X1,X3,X2)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_11003]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1256,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.98 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4382_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10995,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X1,X2,X0)
% 1.71/1.98 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1256]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10996,plain,
% 1.71/1.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 1.71/1.98 | ~ c_lessequals(X1,X3,X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10995]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1252,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4381_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10987,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1252]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10988,plain,
% 1.71/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10987]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1248,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4380_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10979,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1248]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10980,plain,
% 1.71/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10979]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1244,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4379_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10971,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1244]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10972,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.98 | ~ c_lessequals(X1,X3,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10971]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1240,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4378_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10963,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1240]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10964,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.71/1.98 | ~ c_lessequals(X1,X3,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10963]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1236,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4377_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10955,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1236]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10956,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.98 | ~ c_lessequals(X0,X3,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10955]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1232,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4376_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10947,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1232]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10948,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.71/1.98 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.98 | ~ c_lessequals(X3,X1,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10947]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1228,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4375_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10939,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1228]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10940,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.98 | ~ c_lessequals(X3,X0,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10939]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1224,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.71/1.98 | X1 = X3
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4374_2) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10931,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.71/1.98 | X1 = X3
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1224]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10932,plain,
% 1.71/1.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 1.71/1.98 | X1 = X2 ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10931]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1222,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | X1 = X3 ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4374_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10927,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | X1 = X3 ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1222]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10928,plain,
% 1.71/1.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.71/1.98 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 1.71/1.98 | X2 = X1 ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10927]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1214,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 1.71/1.98 | ~ c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)
% 1.71/1.98 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4371_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10911,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 1.71/1.98 | ~ c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)
% 1.71/1.98 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1214]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10912,plain,
% 1.71/1.98 ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 1.71/1.98 | c_lessequals(c_Power_Opower__class_Opower(X0,X3,X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 1.71/1.98 | ~ c_Parity_Oeven__odd__class_Oeven(X3,tc_nat) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10911]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1209,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4370_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10901,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1209]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10902,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.98 | ~ c_lessequals(X0,X3,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10901]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1204,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4369_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10891,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ c_lessequals(X2,X3,X0)
% 1.71/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1204]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10892,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.71/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.98 | ~ c_lessequals(X3,X0,X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10891]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1193,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4366_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10869,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1193]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10870,plain,
% 1.71/1.98 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 1.71/1.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.71/1.98 | ~ class_Int_Onumber(X1)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10869]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1186,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4365_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10855,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1186]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10856,plain,
% 1.71/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10855]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1179,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4364_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10841,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1179]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10842,plain,
% 1.71/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.71/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.71/1.98 | ~ class_Int_Onumber(X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.71/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.71/1.98 inference(rewriting,[status(thm)],[c_10841]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_1172,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4363_0) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10827,plain,
% 1.71/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.71/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.71/1.98 | ~ class_Int_Onumber(X0)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.71/1.98 inference(copy,[status(esa)],[c_1172]) ).
% 1.71/1.98
% 1.71/1.98 cnf(c_10828,plain,
% 1.71/1.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.71/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.71/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.98 | ~ class_Int_Onumber(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10827]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1169,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 1.78/1.98 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4362_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10821,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 1.78/1.98 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1169]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10822,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2)
% 1.78/1.98 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 1.78/1.98 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10821]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1166,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4361_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10815,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1166]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10816,plain,
% 1.78/1.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.78/1.98 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10815]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1163,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4360_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10809,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1163]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10810,plain,
% 1.78/1.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.78/1.98 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10809]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1160,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.78/1.98 | c_lessequals(X2,X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4359_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10803,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 1.78/1.98 | c_lessequals(X2,X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1160]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10804,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 1.78/1.98 | c_lessequals(X1,X3,X2)
% 1.78/1.98 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10803]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1157,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 1.78/1.98 | c_lessequals(X1,X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4358_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10797,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 1.78/1.98 | c_lessequals(X1,X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1157]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10798,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.78/1.98 | c_lessequals(X0,X3,X2)
% 1.78/1.98 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10797]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1150,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.78/1.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4356_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10783,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.78/1.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1150]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10784,plain,
% 1.78/1.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oidom(X2)
% 1.78/1.98 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10783]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1146,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/1.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4355_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10775,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/1.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1146]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10776,plain,
% 1.78/1.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oidom(X2)
% 1.78/1.98 | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10775]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1128,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4351_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10739,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1128]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10740,plain,
% 1.78/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.98 | ~ class_Int_Onumber(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10739]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1121,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4350_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10725,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1121]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10726,plain,
% 1.78/1.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.98 | ~ class_Int_Onumber(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10725]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1114,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4349_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10711,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1114]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10712,plain,
% 1.78/1.98 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/1.98 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/1.98 | ~ class_Int_Onumber(X3)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10711]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1111,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/1.98 | ~ c_lessequals(X1,X2,tc_nat)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4348_1) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10705,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/1.98 | ~ c_lessequals(X1,X2,tc_nat)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1111]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10706,plain,
% 1.78/1.98 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,X3),X4,X3)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X1,X3),X4,X3)
% 1.78/1.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10705]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1110,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/1.98 | ~ c_lessequals(X1,X2,tc_nat)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4348_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10703,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/1.98 | ~ c_lessequals(X1,X2,tc_nat)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1110]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10704,plain,
% 1.78/1.98 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X1,X3),X4,X3)
% 1.78/1.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,X3),X4,X3)
% 1.78/1.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10703]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1106,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/1.98 | ~ c_lessequals(X1,X2,X0)
% 1.78/1.98 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 1.78/1.98 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4347_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10695,plain,
% 1.78/1.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/1.98 | ~ c_lessequals(X1,X2,X0)
% 1.78/1.98 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 1.78/1.98 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1106]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10696,plain,
% 1.78/1.98 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 1.78/1.98 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 1.78/1.98 | ~ c_lessequals(X2,X4,X3)
% 1.78/1.98 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10695]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1092,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4341_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10667,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/1.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1092]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10668,plain,
% 1.78/1.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.78/1.98 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10667]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1088,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/1.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4340_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10659,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/1.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1088]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10660,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.98 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10659]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1080,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4338_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10643,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1080]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10644,plain,
% 1.78/1.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10643]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1077,plain,
% 1.78/1.98 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/1.98 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4337_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10637,plain,
% 1.78/1.98 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/1.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/1.98 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1077]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10638,plain,
% 1.78/1.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/1.98 | ~ class_Divides_Osemiring__div(X2)
% 1.78/1.98 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X3,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10637]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1070,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/1.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4336_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10623,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/1.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1070]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10624,plain,
% 1.78/1.98 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 1.78/1.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/1.98 | ~ class_Int_Onumber(X1)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10623]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1063,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4335_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10609,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1063]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10610,plain,
% 1.78/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10609]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1056,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4334_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10595,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1056]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10596,plain,
% 1.78/1.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.98 | ~ class_Int_Onumber(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10595]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1049,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4333_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10581,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ class_Int_Onumber(X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1049]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10582,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/1.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.98 | ~ class_Int_Onumber(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10581]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1044,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4332_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10571,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1044]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10572,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.78/1.98 | c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10571]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1029,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4329_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10541,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1029]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10542,plain,
% 1.78/1.98 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.98 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10541]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1024,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4328_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10531,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1024]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10532,plain,
% 1.78/1.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10531]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1019,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4327_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10521,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1019]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10522,plain,
% 1.78/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10521]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1014,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4326_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10511,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1014]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10512,plain,
% 1.78/1.98 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.98 inference(rewriting,[status(thm)],[c_10511]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_1009,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/1.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4325_0) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10501,plain,
% 1.78/1.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/1.98 inference(copy,[status(esa)],[c_1009]) ).
% 1.78/1.98
% 1.78/1.98 cnf(c_10502,plain,
% 1.78/1.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10501]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_1004,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.99 | ~ class_Int_Onumber__ring(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/1.99 | X3 = X4
% 1.78/1.99 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4324_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10491,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.99 | ~ class_Int_Onumber__ring(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/1.99 | X3 = X4
% 1.78/1.99 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_1004]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10492,plain,
% 1.78/1.99 ( ~ class_Int_Onumber__ring(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/1.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/1.99 | X3 = X4 ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10491]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_1001,plain,
% 1.78/1.99 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/1.99 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4323_2) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10485,plain,
% 1.78/1.99 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/1.99 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_1001]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10486,plain,
% 1.78/1.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.78/1.99 | ~ class_Divides_Osemiring__div(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10485]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_999,plain,
% 1.78/1.99 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.78/1.99 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4323_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10481,plain,
% 1.78/1.99 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.78/1.99 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_999]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10482,plain,
% 1.78/1.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.78/1.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.78/1.99 | ~ class_Divides_Osemiring__div(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10481]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_996,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4322_1) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10475,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_996]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10476,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10475]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_995,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4322_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10473,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_995]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10474,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10473]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_992,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4321_1) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10467,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_992]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10468,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10467]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_991,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4321_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10465,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_991]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10466,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10465]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_981,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4317_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10445,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_981]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10446,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10445]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_977,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4316_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10437,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_977]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10438,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10437]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_973,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4315_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10429,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_973]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10430,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10429]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_969,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4314_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10421,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_969]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10422,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10421]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_964,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4313_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10411,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_964]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10412,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10411]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_955,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4310_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10393,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_955]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10394,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10393]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_949,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.99 | ~ class_Int_Onumber__ring(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4308_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10381,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.99 | ~ class_Int_Onumber__ring(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_949]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10382,plain,
% 1.78/1.99 ( ~ class_Int_Onumber__ring(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oidom(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10381]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_945,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4307_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10373,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_945]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10374,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10373]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_941,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4306_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10365,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_941]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10366,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10365]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_936,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_lessequals(X2,X3,tc_nat)
% 1.78/1.99 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4305_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10355,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_lessequals(X2,X3,tc_nat)
% 1.78/1.99 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_936]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10356,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.78/1.99 | ~ c_lessequals(X3,X2,tc_nat)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10355]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_931,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4304_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10345,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_931]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10346,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10345]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_925,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 1.78/1.99 | c_lessequals(X1,X2,tc_nat) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4302_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10333,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 1.78/1.99 | c_lessequals(X1,X2,tc_nat) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_925]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10334,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.78/1.99 | c_lessequals(X0,X2,tc_nat)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10333]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_915,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 1.78/1.99 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4299_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10313,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 1.78/1.99 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_915]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10314,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 1.78/1.99 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10313]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_911,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.78/1.99 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4298_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10305,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.78/1.99 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_911]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10306,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Ofield(X0)
% 1.78/1.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.78/1.99 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10305]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_908,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Osemiring(X0)
% 1.78/1.99 | ~ class_Int_Onumber(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4297_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10299,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Osemiring(X0)
% 1.78/1.99 | ~ class_Int_Onumber(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_908]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10300,plain,
% 1.78/1.99 ( ~ class_Int_Onumber(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Osemiring(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10299]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_905,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Osemiring(X0)
% 1.78/1.99 | ~ class_Int_Onumber(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4296_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10293,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Osemiring(X0)
% 1.78/1.99 | ~ class_Int_Onumber(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_905]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10294,plain,
% 1.78/1.99 ( ~ class_Int_Onumber(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Osemiring(X0)
% 1.78/1.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10293]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_879,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4289_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10241,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_879]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10242,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10241]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_871,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_lessequals(X2,X3,tc_nat) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4287_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10225,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_lessequals(X2,X3,tc_nat) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_871]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10226,plain,
% 1.78/1.99 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 1.78/1.99 | c_lessequals(X1,X3,tc_nat)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10225]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_867,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4286_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10217,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_867]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10218,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10217]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_863,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4285_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10209,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_863]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10210,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10209]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_859,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_lessequals(X3,X2,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4284_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10201,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_lessequals(X3,X2,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_859]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10202,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_lessequals(X3,X1,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10201]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_855,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | c_lessequals(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4283_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10193,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | c_lessequals(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_855]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10194,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_lessequals(X1,X3,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10193]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_851,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_lessequals(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4282_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10185,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_lessequals(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_851]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10186,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.78/1.99 | c_lessequals(X1,X3,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10185]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_847,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_lessequals(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4281_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10177,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_lessequals(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_847]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10178,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_lessequals(X0,X3,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10177]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_843,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4280_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10169,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_843]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10170,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10169]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_839,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4279_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10161,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_839]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10162,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10161]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_835,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4278_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10153,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_835]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10154,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10153]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_831,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4277_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10145,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_831]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10146,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10145]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_827,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4276_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10137,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_827]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10138,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10137]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_824,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4275_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10131,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_824]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10132,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10131]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_818,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4274_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10119,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_818]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10120,plain,
% 1.78/1.99 ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.78/1.99 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10119]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_812,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.99 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4273_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10107,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.99 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_812]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10108,plain,
% 1.78/1.99 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.78/1.99 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10107]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_806,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4272_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10095,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_806]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10096,plain,
% 1.78/1.99 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10095]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_800,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/1.99 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4271_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10083,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/1.99 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_800]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10084,plain,
% 1.78/1.99 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10083]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_797,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4270_3) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10077,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_797]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10078,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10077]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_794,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4270_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10071,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_794]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10072,plain,
% 1.78/1.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10071]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_788,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4269_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10059,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_788]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10060,plain,
% 1.78/1.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10059]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_782,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4268_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10047,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_782]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10048,plain,
% 1.78/1.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/1.99 inference(rewriting,[status(thm)],[c_10047]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_770,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/1.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4266_0) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10023,plain,
% 1.78/1.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/1.99 inference(copy,[status(esa)],[c_770]) ).
% 1.78/1.99
% 1.78/1.99 cnf(c_10024,plain,
% 1.78/1.99 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/1.99 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/1.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/1.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_10023]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_767,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4265_3) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_10017,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_767]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_10018,plain,
% 1.78/2.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_10017]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_764,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4265_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_10011,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_764]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_10012,plain,
% 1.78/2.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_10011]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_758,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4264_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9999,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_758]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_10000,plain,
% 1.78/2.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9999]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_752,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4263_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9987,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_752]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9988,plain,
% 1.78/2.00 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9987]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_746,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4262_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9975,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_746]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9976,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.00 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/2.00 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9975]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_740,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4261_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9963,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_740]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9964,plain,
% 1.78/2.00 ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9963]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_734,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4260_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9951,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_734]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9952,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.00 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9951]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_728,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4259_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9939,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_728]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9940,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9939]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_721,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4258_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9925,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_721]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9926,plain,
% 1.78/2.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9925]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_714,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4257_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9911,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_714]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9912,plain,
% 1.78/2.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | ~ class_Int_Onumber(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9911]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_707,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4256_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9897,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_707]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9898,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.00 | ~ class_Int_Onumber(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9897]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_700,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4255_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9883,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_700]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9884,plain,
% 1.78/2.00 ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.00 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/2.00 | ~ class_Int_Onumber(X3)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9883]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_695,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.78/2.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4253_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9873,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.78/2.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_695]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9874,plain,
% 1.78/2.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9873]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_692,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.78/2.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4252_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9867,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.78/2.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_692]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9868,plain,
% 1.78/2.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9867]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_690,plain,
% 1.78/2.00 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.00 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4251_2) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9863,plain,
% 1.78/2.00 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.00 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_690]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9864,plain,
% 1.78/2.00 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/2.00 | ~ class_Divides_Osemiring__div(X2)
% 1.78/2.00 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X3,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X0,X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9863]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_688,plain,
% 1.78/2.00 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/2.00 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4251_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9859,plain,
% 1.78/2.00 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/2.00 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_688]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9860,plain,
% 1.78/2.00 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/2.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/2.00 | ~ class_Divides_Osemiring__div(X2)
% 1.78/2.00 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X0,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X0,X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9859]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_684,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 1.78/2.00 | c_lessequals(X2,X1,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4250_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9851,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 1.78/2.00 | c_lessequals(X2,X1,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_684]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9852,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 1.78/2.00 | c_lessequals(X2,X1,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9851]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_678,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4249_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9839,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_678]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9840,plain,
% 1.78/2.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 1.78/2.00 | ~ class_Int_Onumber(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9839]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_672,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.00 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4248_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9827,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.00 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_672]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9828,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.00 | c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ class_Int_Onumber(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9827]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_666,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4247_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9815,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.00 | ~ class_Int_Onumber(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_666]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9816,plain,
% 1.78/2.00 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.00 | ~ class_Int_Onumber(X1)
% 1.78/2.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9815]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_657,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4245_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9797,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_657]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9798,plain,
% 1.78/2.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9797]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_650,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4243_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9783,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_650]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9784,plain,
% 1.78/2.00 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9783]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_644,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4242_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9771,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_644]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9772,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9771]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_638,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4241_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9759,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_638]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9760,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9759]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_636,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 1.78/2.00 | ~ c_lessequals(X4,X2,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4240_4) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9755,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 1.78/2.00 | ~ c_lessequals(X4,X2,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_636]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9756,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ c_lessequals(X4,X1,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9755]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_632,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X3,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4240_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9747,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X3,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_632]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9748,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_lessequals(X4,X1,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9747]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_629,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | ~ c_lessequals(X3,X4,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4239_3) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9741,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | ~ c_lessequals(X3,X4,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_629]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9742,plain,
% 1.78/2.00 ( ~ c_lessequals(X0,X1,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X4,X3,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9741]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_626,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X3,X4,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4239_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9735,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X3,X4,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_626]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9736,plain,
% 1.78/2.00 ( ~ c_lessequals(X0,X1,X2)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X4,X3,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9735]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_622,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4238_2) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9727,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_622]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9728,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9727]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_620,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4238_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9723,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_620]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9724,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9723]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_618,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4237_4) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9719,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_618]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9720,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9719]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_616,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X2,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4237_2) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9715,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X2,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_616]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9716,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9715]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_614,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4237_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9711,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_614]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9712,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9711]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_612,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4236_4) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9707,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_612]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9708,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9707]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_610,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X3,X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4236_2) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9703,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/2.00 | ~ c_lessequals(X3,X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_610]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9704,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9703]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_608,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X4,X2,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4236_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9699,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_lessequals(X1,X3,X0)
% 1.78/2.00 | ~ c_lessequals(X4,X2,X0)
% 1.78/2.00 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_608]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9700,plain,
% 1.78/2.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.00 | ~ c_lessequals(X1,X4,X2)
% 1.78/2.00 | ~ c_lessequals(X0,X3,X2)
% 1.78/2.00 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9699]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_602,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4235_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9687,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.00 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_602]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9688,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(X2,X3,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9687]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_600,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4234_4) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9683,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_600]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9684,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9683]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_598,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4234_2) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9679,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 1.78/2.00 inference(copy,[status(esa)],[c_598]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9680,plain,
% 1.78/2.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.00 inference(rewriting,[status(thm)],[c_9679]) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_596,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4234_0) ).
% 1.78/2.00
% 1.78/2.00 cnf(c_9675,plain,
% 1.78/2.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.00 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_596]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9676,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9675]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_590,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4233_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9663,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_590]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9664,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9663]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_578,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4231_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9639,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_578]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9640,plain,
% 1.78/2.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9639]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_572,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4230_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9627,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_572]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9628,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9627]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_565,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4227_2) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9613,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_565]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9614,plain,
% 1.78/2.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.78/2.01 | ~ class_Divides_Osemiring__div(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9613]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_564,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4227_1) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9611,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_564]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9612,plain,
% 1.78/2.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.78/2.01 | ~ class_Divides_Osemiring__div(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9611]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_563,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4227_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9609,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_563]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9610,plain,
% 1.78/2.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.78/2.01 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.78/2.01 | ~ class_Divides_Osemiring__div(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9609]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_552,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.01 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4225_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9587,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.01 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_552]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9588,plain,
% 1.78/2.01 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 1.78/2.01 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9587]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_545,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.01 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4224_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9573,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.01 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_545]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9574,plain,
% 1.78/2.01 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9573]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_538,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4223_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9559,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_538]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9560,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9559]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_531,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4222_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9545,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_531]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9546,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9545]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_522,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4220_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9527,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_522]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9528,plain,
% 1.78/2.01 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9527]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_515,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4219_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9513,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_515]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9514,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9513]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_501,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4217_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9485,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_501]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9486,plain,
% 1.78/2.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9485]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_495,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4216_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9473,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_495]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9474,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.01 | c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9473]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_477,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4213_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9437,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_477]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9438,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.01 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9437]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_471,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4212_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9425,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_471]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9426,plain,
% 1.78/2.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9425]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_465,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4211_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9413,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_465]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9414,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9413]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_459,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4210_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9401,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_459]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9402,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9401]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_453,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4209_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9389,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_453]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9390,plain,
% 1.78/2.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9389]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_451,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X4,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4208_2) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9385,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X4,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_451]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9386,plain,
% 1.78/2.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 1.78/2.01 | ~ class_Divides_Osemiring__div(X2)
% 1.78/2.01 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X4,X3,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9385]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_449,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.78/2.01 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4208_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9381,plain,
% 1.78/2.01 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.78/2.01 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_449]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9382,plain,
% 1.78/2.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/2.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 1.78/2.01 | ~ class_Divides_Osemiring__div(X2)
% 1.78/2.01 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9381]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_444,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4207_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9371,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_444]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9372,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9371]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_439,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4206_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9361,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_439]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9362,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9361]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_434,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.01 | ~ c_lessequals(X2,X1,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4205_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9351,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.78/2.01 | ~ c_lessequals(X2,X1,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_434]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9352,plain,
% 1.78/2.01 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.01 | ~ c_lessequals(X3,X1,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9351]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_428,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4204_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9339,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.01 | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_428]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9340,plain,
% 1.78/2.01 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 1.78/2.01 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.01 | ~ c_lessequals(X1,X3,X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9339]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_415,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4201_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9313,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_415]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9314,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9313]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_408,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4200_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9299,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_408]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9300,plain,
% 1.78/2.01 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.01 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9299]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_401,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4199_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9285,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_401]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9286,plain,
% 1.78/2.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9285]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_394,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4198_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9271,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_394]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9272,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9271]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_387,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4197_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9257,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_387]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9258,plain,
% 1.78/2.01 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.01 | ~ class_Int_Onumber(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9257]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_380,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4196_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9243,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_380]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9244,plain,
% 1.78/2.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9243]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_373,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4195_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9229,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_373]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9230,plain,
% 1.78/2.01 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9229]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_366,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4194_0) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9215,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 1.78/2.01 inference(copy,[status(esa)],[c_366]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_9216,plain,
% 1.78/2.01 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 1.78/2.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 1.78/2.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 1.78/2.01 | ~ class_Int_Onumber(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.01 inference(rewriting,[status(thm)],[c_9215]) ).
% 1.78/2.01
% 1.78/2.01 cnf(c_357,plain,
% 1.78/2.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.01 | ~ class_Int_Onumber(X0)
% 1.78/2.01 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.01 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.01 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4192_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9197,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_357]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9198,plain,
% 1.78/2.02 ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 1.78/2.02 | ~ class_Int_Onumber(X3)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9197]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_350,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4191_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9183,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_350]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9184,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9183]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_343,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4190_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9169,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_343]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9170,plain,
% 1.78/2.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9169]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_336,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4189_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9155,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_336]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9156,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9155]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_329,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4188_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9141,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_329]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9142,plain,
% 1.78/2.02 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9141]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_322,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4187_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9127,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_322]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9128,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9127]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_315,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4186_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9113,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_315]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9114,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.02 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9113]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_308,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4185_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9099,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_308]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9100,plain,
% 1.78/2.02 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.78/2.02 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9099]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_302,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4184_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9087,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_302]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9088,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9087]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_296,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4183_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9075,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_296]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9076,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/2.02 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9075]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_290,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4182_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9063,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_290]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9064,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9063]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_284,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.02 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4181_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9051,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.02 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_284]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9052,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9051]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_278,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4180_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9039,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_278]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9040,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9039]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_272,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4179_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9027,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_272]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9028,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9027]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_266,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4178_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9015,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_266]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9016,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9015]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_260,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4177_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9003,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_260]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_9004,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_9003]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_253,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4176_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8989,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_253]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8990,plain,
% 1.78/2.02 ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/2.02 | ~ class_Int_Onumber(X3)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8989]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_246,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4175_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8975,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_246]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8976,plain,
% 1.78/2.02 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 1.78/2.02 | ~ class_Int_Onumber(X3)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8975]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_239,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4174_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8961,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_239]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8962,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8961]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_232,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4173_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8947,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_232]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8948,plain,
% 1.78/2.02 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8947]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_225,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4172_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8933,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_225]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8934,plain,
% 1.78/2.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8933]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_218,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4171_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8919,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_218]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8920,plain,
% 1.78/2.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8919]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_211,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4170_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8905,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_211]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8906,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8905]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_204,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4169_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8891,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_204]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8892,plain,
% 1.78/2.02 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8891]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_200,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4168_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8883,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_200]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8884,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X1,X2),X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8883]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_191,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.02 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/2.02 | X1 = X3
% 1.78/2.02 | X2 = X4 ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4166_1) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8865,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.02 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/2.02 | X1 = X3
% 1.78/2.02 | X2 = X4 ),
% 1.78/2.02 inference(copy,[status(esa)],[c_191]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8866,plain,
% 1.78/2.02 ( ~ class_Int_Onumber__ring(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/2.02 | X1 = X3
% 1.78/2.02 | X2 = X4 ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8865]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_190,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.02 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/2.02 | X2 = X4
% 1.78/2.02 | X1 = X3 ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4166_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8863,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.02 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/2.02 | X2 = X4
% 1.78/2.02 | X1 = X3 ),
% 1.78/2.02 inference(copy,[status(esa)],[c_190]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8864,plain,
% 1.78/2.02 ( ~ class_Int_Onumber__ring(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.78/2.02 | X2 = X4
% 1.78/2.02 | X1 = X3 ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8863]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_177,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4161_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8837,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_177]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8838,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 1.78/2.02 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8837]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_174,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4160_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8831,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_174]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8832,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 1.78/2.02 | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8831]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_167,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4159_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8817,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_167]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8818,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.02 | ~ class_Int_Onumber(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8817]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_160,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4158_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8803,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_160]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8804,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.02 | ~ class_Int_Onumber(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8803]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_153,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4157_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8789,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_153]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8790,plain,
% 1.78/2.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.02 | ~ class_Int_Onumber(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8789]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_146,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.02 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4156_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8775,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 1.78/2.02 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_146]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8776,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.02 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.02 | ~ class_Int_Onumber(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8775]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_131,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X2,X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 1.78/2.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4153_0) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8745,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.02 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X2,X0)
% 1.78/2.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 1.78/2.02 inference(copy,[status(esa)],[c_131]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_8746,plain,
% 1.78/2.02 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.02 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.02 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.02 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.02 | ~ class_Int_Onumber(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.02 inference(rewriting,[status(thm)],[c_8745]) ).
% 1.78/2.02
% 1.78/2.02 cnf(c_124,plain,
% 1.78/2.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.02 | ~ class_Int_Onumber(X0)
% 1.78/2.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4152_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8731,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_124]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8732,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8731]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_117,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4151_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8717,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_117]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8718,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8717]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_110,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X2,X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4150_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8703,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X2,X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_110]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8704,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8703]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_103,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X2,X0)
% 1.78/2.03 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4149_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8689,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X2,X0)
% 1.78/2.03 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_103]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8690,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.03 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.03 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.03 | ~ class_Int_Onumber(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8689]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_96,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X2,X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4148_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8675,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X2,X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_96]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8676,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.03 | ~ class_Int_Onumber(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8675]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_89,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4147_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8661,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_89]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8662,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.03 | ~ class_Int_Onumber(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8661]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_82,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4146_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8647,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_82]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8648,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X1)
% 1.78/2.03 | ~ class_Int_Onumber(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8647]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_71,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4144_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8625,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_71]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8626,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8625]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_64,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4143_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8611,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_64]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8612,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8611]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_57,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.03 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4142_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8597,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 1.78/2.03 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_57]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8598,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8597]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_50,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4141_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8583,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.03 | ~ class_Int_Onumber(X0)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_50]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8584,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.78/2.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 1.78/2.03 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.78/2.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.78/2.03 | ~ class_Int_Onumber(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8583]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_39,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Odvd(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 1.78/2.03 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X4,X0),X0),X3,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4137_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8561,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Odvd(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 1.78/2.03 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X4,X0),X0),X3,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_39]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8562,plain,
% 1.78/2.03 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 1.78/2.03 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 1.78/2.03 | ~ class_Ring__and__Field_Odvd(X4) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8561]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_34,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Odvd(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 1.78/2.03 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4136_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8551,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Odvd(X0)
% 1.78/2.03 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 1.78/2.03 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_34]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8552,plain,
% 1.78/2.03 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 1.78/2.03 | c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 1.78/2.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 1.78/2.03 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 1.78/2.03 | ~ class_Ring__and__Field_Odvd(X4) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8551]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_22,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.78/2.03 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4132_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8527,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.78/2.03 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_22]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8528,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 1.78/2.03 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8527]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_13,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4129_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8509,plain,
% 1.78/2.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.78/2.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 1.78/2.03 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_13]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_8510,plain,
% 1.78/2.03 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 1.78/2.03 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 1.78/2.03 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.78/2.03 inference(rewriting,[status(thm)],[c_8509]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3908,negated_conjecture,
% 1.78/2.03 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_4567,negated_conjecture,
% 1.78/2.03 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3908]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_4571,negated_conjecture,
% 1.78/2.03 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_4567]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_4572,negated_conjecture,
% 1.78/2.03 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_4571]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_4573,negated_conjecture,
% 1.78/2.03 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_4572]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16284,negated_conjecture,
% 1.78/2.03 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_4573]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3907,plain,
% 1.78/2.03 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1020_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16282,plain,
% 1.78/2.03 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3907]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3906,plain,
% 1.78/2.03 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1021_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16280,plain,
% 1.78/2.03 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3906]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3902,plain,
% 1.78/2.03 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1025_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16275,plain,
% 1.78/2.03 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3902]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3900,plain,
% 1.78/2.03 ( c_FFT__Mirabelle_Oroot(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1027_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16272,plain,
% 1.78/2.03 ( c_FFT__Mirabelle_Oroot(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3900]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3898,plain,
% 1.78/2.03 ( c_lessequals(X0,X0,tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1029_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16268,plain,
% 1.78/2.03 ( c_lessequals(X0,X0,tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3898]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3897,plain,
% 1.78/2.03 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1030_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16266,plain,
% 1.78/2.03 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3897]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3896,plain,
% 1.78/2.03 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1031_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16264,plain,
% 1.78/2.03 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3896]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3895,plain,
% 1.78/2.03 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1032_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16262,plain,
% 1.78/2.03 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3895]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3893,plain,
% 1.78/2.03 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1034_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16258,plain,
% 1.78/2.03 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3893]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3891,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1036_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16254,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3891]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3888,plain,
% 1.78/2.03 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1039_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16250,plain,
% 1.78/2.03 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3888]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3886,plain,
% 1.78/2.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1041_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16246,plain,
% 1.78/2.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3886]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3885,plain,
% 1.78/2.03 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat)),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1042_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16244,plain,
% 1.78/2.03 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat)),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3885]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3880,plain,
% 1.78/2.03 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1047_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16237,plain,
% 1.78/2.03 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3880]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3878,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1049_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16233,plain,
% 1.78/2.03 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3878]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3877,plain,
% 1.78/2.03 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1050_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16231,plain,
% 1.78/2.03 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3877]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3875,plain,
% 1.78/2.03 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1052_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16227,plain,
% 1.78/2.03 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3875]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3874,plain,
% 1.78/2.03 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1053_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16225,plain,
% 1.78/2.03 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3874]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3873,plain,
% 1.78/2.03 ( X0 != c_Suc(X0) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1054_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16223,plain,
% 1.78/2.03 ( X0 != c_Suc(X0) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3873]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3872,plain,
% 1.78/2.03 ( c_Suc(X0) != X0 ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1055_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16221,plain,
% 1.78/2.03 ( c_Suc(X0) != X0 ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3872]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3871,plain,
% 1.78/2.03 ( class_Int_Onumber(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1056_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16219,plain,
% 1.78/2.03 ( class_Int_Onumber(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3871]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3870,plain,
% 1.78/2.03 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1057_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16217,plain,
% 1.78/2.03 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3870]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3869,plain,
% 1.78/2.03 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1058_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16215,plain,
% 1.78/2.03 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3869]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3868,plain,
% 1.78/2.03 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1059_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16213,plain,
% 1.78/2.03 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3868]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3867,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1060_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16211,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3867]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3866,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1061_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16209,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3866]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3865,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1062_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16207,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3865]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3864,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1063_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16205,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3864]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3863,plain,
% 1.78/2.03 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1064_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16203,plain,
% 1.78/2.03 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3863]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3862,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1065_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16201,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3862]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3861,plain,
% 1.78/2.03 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1066_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16199,plain,
% 1.78/2.03 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3861]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3860,plain,
% 1.78/2.03 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1067_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16197,plain,
% 1.78/2.03 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3860]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3859,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1068_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16195,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3859]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3858,plain,
% 1.78/2.03 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1069_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16193,plain,
% 1.78/2.03 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3858]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3857,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1070_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16191,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3857]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3856,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1071_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16189,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3856]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3855,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1072_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16187,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3855]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3854,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1073_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16185,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3854]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3853,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1074_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16183,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3853]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3852,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1075_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16181,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3852]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3851,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1076_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16179,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3851]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3850,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1077_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16177,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3850]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3849,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1078_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16175,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3849]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3848,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1079_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16173,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3848]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3847,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1080_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16171,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3847]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3846,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1081_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16169,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3846]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3845,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1082_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16167,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3845]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3844,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1083_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16165,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3844]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3843,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1084_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16163,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3843]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3842,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1085_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16161,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3842]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3841,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1086_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16159,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3841]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3840,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1087_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16157,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3840]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3839,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1088_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16155,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3839]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3838,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1089_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16153,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3838]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3837,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1090_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16151,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3837]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3836,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1091_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16149,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3836]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3835,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1092_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16147,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3835]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3834,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1093_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16145,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3834]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3833,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1094_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16143,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3833]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3832,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1095_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16141,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3832]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3831,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1096_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16139,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3831]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3830,plain,
% 1.78/2.03 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1097_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16137,plain,
% 1.78/2.03 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3830]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3829,plain,
% 1.78/2.03 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1098_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16135,plain,
% 1.78/2.03 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3829]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3828,plain,
% 1.78/2.03 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1099_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16133,plain,
% 1.78/2.03 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3828]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3827,plain,
% 1.78/2.03 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1100_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16131,plain,
% 1.78/2.03 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3827]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3826,plain,
% 1.78/2.03 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1101_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16129,plain,
% 1.78/2.03 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3826]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3825,plain,
% 1.78/2.03 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1102_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16127,plain,
% 1.78/2.03 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3825]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3824,plain,
% 1.78/2.03 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1103_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16125,plain,
% 1.78/2.03 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3824]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3823,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1104_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16123,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3823]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3822,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1105_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16121,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3822]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3821,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1106_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16119,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3821]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3820,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1107_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16117,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3820]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3819,plain,
% 1.78/2.03 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1108_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16115,plain,
% 1.78/2.03 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3819]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3818,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1109_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16113,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3818]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3817,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1110_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16111,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3817]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3816,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1111_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16109,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3816]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3815,plain,
% 1.78/2.03 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1112_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16107,plain,
% 1.78/2.03 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3815]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3814,plain,
% 1.78/2.03 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1113_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16105,plain,
% 1.78/2.03 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3814]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3813,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1114_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16103,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3813]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3812,plain,
% 1.78/2.03 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1115_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16101,plain,
% 1.78/2.03 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3812]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3811,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1116_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16099,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3811]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3810,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1117_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16097,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3810]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3809,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1118_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16095,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3809]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3808,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1119_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16093,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3808]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3807,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1120_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16091,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3807]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3806,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1121_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16089,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3806]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3805,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1122_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16087,plain,
% 1.78/2.03 ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3805]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3804,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1123_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16085,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3804]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3803,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1124_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16083,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3803]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3802,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1125_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16081,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3802]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3801,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1126_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16079,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3801]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3800,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1127_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16077,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3800]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3799,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1128_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16075,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3799]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3798,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1129_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16073,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3798]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3797,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1130_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16071,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3797]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3796,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1131_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16069,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3796]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3795,plain,
% 1.78/2.03 ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1132_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16067,plain,
% 1.78/2.03 ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3795]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3794,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1133_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16065,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3794]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3793,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1134_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16063,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3793]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3792,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1135_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16061,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3792]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3791,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1136_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16059,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3791]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3790,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1137_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16057,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3790]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3789,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1138_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16055,plain,
% 1.78/2.03 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3789]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3788,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1139_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16053,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3788]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3787,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1140_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16051,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3787]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3786,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1141_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16049,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3786]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3785,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1142_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16047,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3785]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3784,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1143_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16045,plain,
% 1.78/2.03 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3784]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3783,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1144_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16043,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3783]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3782,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1145_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16041,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3782]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3781,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1146_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16039,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3781]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3780,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1147_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16037,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3780]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3779,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1148_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16035,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3779]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3778,plain,
% 1.78/2.03 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1149_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16033,plain,
% 1.78/2.03 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3778]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3777,plain,
% 1.78/2.03 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1150_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16031,plain,
% 1.78/2.03 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3777]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3776,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1151_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16029,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3776]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3775,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1152_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16027,plain,
% 1.78/2.03 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3775]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3774,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1153_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16025,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3774]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3773,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1154_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16023,plain,
% 1.78/2.03 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3773]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3772,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1155_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16021,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3772]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3771,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1156_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16019,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3771]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3770,plain,
% 1.78/2.03 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1157_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16017,plain,
% 1.78/2.03 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3770]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3769,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1158_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16015,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3769]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3768,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1159_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16013,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3768]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3767,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1160_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16011,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3767]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3766,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1161_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16009,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3766]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3765,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1162_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16007,plain,
% 1.78/2.03 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3765]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3764,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1163_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16005,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3764]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3763,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1164_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16003,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3763]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3762,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1165_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_16001,plain,
% 1.78/2.03 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3762]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3761,plain,
% 1.78/2.03 ( class_Int_Onumber(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1166_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15999,plain,
% 1.78/2.03 ( class_Int_Onumber(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3761]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3760,plain,
% 1.78/2.03 ( class_Power_Opower(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1167_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15997,plain,
% 1.78/2.03 ( class_Power_Opower(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3760]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3759,plain,
% 1.78/2.03 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1168_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15995,plain,
% 1.78/2.03 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3759]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3758,plain,
% 1.78/2.03 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1169_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15993,plain,
% 1.78/2.03 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3758]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3757,plain,
% 1.78/2.03 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1170_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15991,plain,
% 1.78/2.03 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3757]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3756,plain,
% 1.78/2.03 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1171_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15989,plain,
% 1.78/2.03 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3756]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3755,plain,
% 1.78/2.03 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1172_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15987,plain,
% 1.78/2.03 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3755]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3754,plain,
% 1.78/2.03 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1173_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15985,plain,
% 1.78/2.03 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3754]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3753,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1174_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15983,plain,
% 1.78/2.03 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3753]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3752,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1175_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15981,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3752]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3751,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1176_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15979,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3751]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3750,plain,
% 1.78/2.03 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1177_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15977,plain,
% 1.78/2.03 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3750]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3749,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1178_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15975,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3749]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3748,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1179_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15973,plain,
% 1.78/2.03 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3748]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3747,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osgn__if(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1180_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15971,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osgn__if(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3747]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3746,plain,
% 1.78/2.03 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1181_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15969,plain,
% 1.78/2.03 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3746]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3745,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1182_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15967,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3745]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3744,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 1.78/2.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1183_0) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_15965,plain,
% 1.78/2.03 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 1.78/2.03 inference(copy,[status(esa)],[c_3744]) ).
% 1.78/2.03
% 1.78/2.03 cnf(c_3743,plain,
% 1.78/2.03 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1184_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15963,plain,
% 1.78/2.04 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3743]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3742,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1185_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15961,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3742]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3741,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1186_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15959,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3741]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3740,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1187_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15957,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3740]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3739,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1188_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15955,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3739]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3738,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1189_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15953,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3738]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3737,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1190_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15951,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3737]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3736,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1191_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15949,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3736]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3735,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1192_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15947,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3735]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3734,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1193_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15945,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3734]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3733,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1194_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15943,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3733]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3732,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1195_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15941,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3732]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3731,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1196_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15939,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3731]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3730,plain,
% 1.78/2.04 ( class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1197_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15937,plain,
% 1.78/2.04 ( class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3730]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3729,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1198_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15935,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3729]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3728,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1199_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15933,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3728]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3727,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1200_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15931,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3727]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3726,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1201_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15929,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3726]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3725,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1202_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15927,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3725]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3724,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1203_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15925,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3724]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3723,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1204_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15923,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3723]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3722,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1205_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15921,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3722]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3721,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1206_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15919,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3721]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3720,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1207_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15917,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3720]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3719,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1208_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15915,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3719]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3718,plain,
% 1.78/2.04 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1209_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15913,plain,
% 1.78/2.04 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3718]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3717,plain,
% 1.78/2.04 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1210_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15911,plain,
% 1.78/2.04 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3717]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3716,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1211_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15909,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3716]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3715,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1212_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15907,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3715]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3714,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1213_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15905,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3714]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3713,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1214_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15903,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3713]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3712,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1215_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15901,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3712]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3711,plain,
% 1.78/2.04 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1216_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15899,plain,
% 1.78/2.04 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3711]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3710,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1217_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15897,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3710]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3709,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1218_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15895,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3709]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3708,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1219_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15893,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3708]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3707,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1220_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15891,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3707]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3706,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1221_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15889,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3706]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3705,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1222_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15887,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3705]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3704,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1223_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15885,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3704]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3703,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1224_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15883,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3703]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3702,plain,
% 1.78/2.04 ( class_Int_Onumber(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1225_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15881,plain,
% 1.78/2.04 ( class_Int_Onumber(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3702]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3701,plain,
% 1.78/2.04 ( class_Power_Opower(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1226_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15879,plain,
% 1.78/2.04 ( class_Power_Opower(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3701]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3700,plain,
% 1.78/2.04 ( class_Orderings_Oorder(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1227_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15877,plain,
% 1.78/2.04 ( class_Orderings_Oorder(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3700]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3699,plain,
% 1.78/2.04 ( class_Orderings_Olinorder(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1228_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15875,plain,
% 1.78/2.04 ( class_Orderings_Olinorder(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3699]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3698,plain,
% 1.78/2.04 ( class_Orderings_Opreorder(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1229_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15873,plain,
% 1.78/2.04 ( class_Orderings_Opreorder(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3698]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3697,plain,
% 1.78/2.04 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1230_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15871,plain,
% 1.78/2.04 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3697]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3696,plain,
% 1.78/2.04 ( class_Divides_Osemiring__div(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1231_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15869,plain,
% 1.78/2.04 ( class_Divides_Osemiring__div(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3696]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3695,plain,
% 1.78/2.04 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1232_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15867,plain,
% 1.78/2.04 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3695]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3694,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1233_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15865,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3694]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3693,plain,
% 1.78/2.04 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1234_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15863,plain,
% 1.78/2.04 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3693]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3692,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1235_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15861,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3692]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3691,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1236_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15859,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3691]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3690,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1237_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15857,plain,
% 1.78/2.04 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3690]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3689,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1238_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15855,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3689]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3688,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1239_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15853,plain,
% 1.78/2.04 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3688]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3687,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1240_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15851,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3687]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3686,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1241_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15849,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3686]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3685,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1242_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15847,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3685]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3684,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1243_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15845,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3684]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3683,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1244_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15843,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3683]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3682,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1245_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15841,plain,
% 1.78/2.04 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3682]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3681,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1246_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15839,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3681]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3680,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1247_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15837,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3680]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3679,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1248_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15835,plain,
% 1.78/2.04 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3679]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3678,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1249_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15833,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3678]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3677,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1250_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15831,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3677]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3676,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1251_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15829,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3676]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3675,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1252_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15827,plain,
% 1.78/2.04 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3675]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3674,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1253_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15825,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3674]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3673,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1254_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15823,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3673]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3672,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1255_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15821,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3672]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3671,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1256_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15819,plain,
% 1.78/2.04 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3671]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3670,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1257_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15817,plain,
% 1.78/2.04 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3670]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3669,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1258_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15815,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3669]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3668,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1259_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15813,plain,
% 1.78/2.04 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3668]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3667,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1260_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15811,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3667]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3666,plain,
% 1.78/2.04 ( c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1261_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15809,plain,
% 1.78/2.04 ( c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3666]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3664,plain,
% 1.78/2.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1263_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15806,plain,
% 1.78/2.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3664]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3663,plain,
% 1.78/2.04 ( c_Complex_Oii != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1264_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15804,plain,
% 1.78/2.04 ( c_Complex_Oii != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3663]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3661,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1266_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15801,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3661]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3659,plain,
% 1.78/2.04 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1268_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15798,plain,
% 1.78/2.04 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3659]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3658,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1269_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15796,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3658]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3654,plain,
% 1.78/2.04 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1273_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15791,plain,
% 1.78/2.04 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3654]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3653,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_k,tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_1274_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15789,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_k,tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3653]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3651,plain,
% 1.78/2.04 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5154_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15785,plain,
% 1.78/2.04 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3651]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3649,plain,
% 1.78/2.04 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5153_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15781,plain,
% 1.78/2.04 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3649]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3645,plain,
% 1.78/2.04 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5151_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15773,plain,
% 1.78/2.04 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3645]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3641,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.78/2.04 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5149_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15765,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.78/2.04 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3641]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3639,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.78/2.04 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5148_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15761,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.78/2.04 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3639]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15762,plain,
% 1.78/2.04 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.04 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15761]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3637,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5147_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15757,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3637]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3635,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5146_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15753,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3635]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3633,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5145_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15749,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3633]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3631,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5144_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15745,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3631]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3627,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5142_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15737,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3627]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3625,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5141_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15733,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3625]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3623,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5140_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15729,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3623]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3621,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5139_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15725,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3621]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3619,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5138_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15721,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3619]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3617,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5137_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15717,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3617]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3615,plain,
% 1.78/2.04 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 1.78/2.04 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5136_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15713,plain,
% 1.78/2.04 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 1.78/2.04 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3615]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3609,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5134_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15701,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3609]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3601,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.78/2.04 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5131_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15685,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.78/2.04 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3601]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15686,plain,
% 1.78/2.04 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 1.78/2.04 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15685]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3598,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5130_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15679,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3598]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3595,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5129_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15673,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3595]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3592,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5128_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15667,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3592]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3589,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5127_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15661,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3589]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3586,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5126_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15655,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3586]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15656,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ozero__class_Ozero(X0) = X1
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15655]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3583,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5125_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15649,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3583]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3579,plain,
% 1.78/2.04 ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5123_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15641,plain,
% 1.78/2.04 ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3579]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3573,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5120_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15629,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3573]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3563,plain,
% 1.78/2.04 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.78/2.04 | ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5117_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15609,plain,
% 1.78/2.04 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.78/2.04 | ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3563]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15610,plain,
% 1.78/2.04 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 1.78/2.04 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15609]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3560,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5116_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15603,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3560]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3557,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5115_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15597,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3557]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3554,plain,
% 1.78/2.04 ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5114_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15591,plain,
% 1.78/2.04 ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3554]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3549,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5112_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15581,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3549]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3539,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5109_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15561,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3539]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3537,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5108_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15557,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3537]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3535,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5107_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15553,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3535]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3533,plain,
% 1.78/2.04 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5106_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15549,plain,
% 1.78/2.04 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3533]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15550,plain,
% 1.78/2.04 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15549]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3531,plain,
% 1.78/2.04 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5105_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15545,plain,
% 1.78/2.04 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3531]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15546,plain,
% 1.78/2.04 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15545]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3529,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5104_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15541,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3529]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15542,plain,
% 1.78/2.04 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 1.78/2.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15541]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3527,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5103_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15537,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3527]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3523,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.78/2.04 | X1 = X2
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5102_1) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15529,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.78/2.04 | X1 = X2
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3523]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15530,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15529]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3520,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5101_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15523,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3520]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3518,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5100_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15519,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3518]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3514,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5098_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15511,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3514]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3512,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5097_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15507,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3512]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3510,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5096_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15503,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3510]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15504,plain,
% 1.78/2.04 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/2.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15503]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3508,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5095_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15499,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3508]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15500,plain,
% 1.78/2.04 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15499]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3506,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5094_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15495,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3506]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3502,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5092_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15487,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3502]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3500,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5091_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15483,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3500]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3498,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5090_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15479,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3498]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3496,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5089_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15475,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3496]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3494,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5088_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15471,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3494]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3492,plain,
% 1.78/2.04 ( ~ class_Power_Opower(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5087_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15467,plain,
% 1.78/2.04 ( ~ class_Power_Opower(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3492]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3490,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5086_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15463,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3490]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3488,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5085_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15459,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3488]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3484,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5083_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15451,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3484]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3482,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5082_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15447,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3482]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3480,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5081_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15443,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3480]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3478,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5080_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15439,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3478]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3476,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5079_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15435,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3476]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3474,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5078_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15431,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3474]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3472,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5077_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15427,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3472]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3470,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.78/2.04 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5076_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15423,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.78/2.04 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3470]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3464,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5074_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15411,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3464]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15412,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15411]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3461,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5073_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15405,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3461]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3459,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5072_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15401,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3459]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3457,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5071_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15397,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3457]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3455,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5070_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15393,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3455]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3453,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5069_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15389,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3453]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3451,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5068_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15385,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3451]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3449,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5067_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15381,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3449]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3447,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5066_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15377,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3447]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3441,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5063_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15365,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3441]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3437,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5061_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15357,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3437]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3435,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5060_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15353,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3435]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3433,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5059_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15349,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3433]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3431,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__vector(X0)
% 1.78/2.04 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5058_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15345,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__vector(X0)
% 1.78/2.04 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3431]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3429,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5057_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15341,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3429]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3427,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5056_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15337,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3427]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3425,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5055_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15333,plain,
% 1.78/2.04 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.04 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3425]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3420,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5053_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15323,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3420]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15324,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.78/2.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15323]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3418,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5052_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15319,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3418]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15320,plain,
% 1.78/2.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.78/2.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15319]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3413,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5050_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15309,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3413]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3398,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5045_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15279,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3398]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3396,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5044_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15275,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3396]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3375,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5037_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15233,plain,
% 1.78/2.04 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3375]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3373,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5036_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15229,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3373]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15230,plain,
% 1.78/2.04 ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 1.78/2.04 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15229]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3370,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5035_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15223,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3370]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3360,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5031_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15203,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3360]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3358,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 1.78/2.04 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5030_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15199,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 1.78/2.04 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3358]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3354,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5028_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15191,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3354]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3352,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5027_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15187,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3352]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3350,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5026_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15183,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3350]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3348,plain,
% 1.78/2.04 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5025_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15179,plain,
% 1.78/2.04 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3348]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3345,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5024_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15173,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3345]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3342,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5023_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15167,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3342]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3339,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5022_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15161,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3339]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3337,plain,
% 1.78/2.04 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5021_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15157,plain,
% 1.78/2.04 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3337]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15158,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15157]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3335,plain,
% 1.78/2.04 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5020_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15153,plain,
% 1.78/2.04 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3335]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15154,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15153]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3333,plain,
% 1.78/2.04 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5019_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15149,plain,
% 1.78/2.04 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3333]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15150,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15149]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3331,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5018_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15145,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3331]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15146,plain,
% 1.78/2.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 1.78/2.04 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15145]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3323,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5015_1) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15129,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3323]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3322,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5015_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15127,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3322]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3316,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5013_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15115,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3316]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3313,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5012_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15109,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3313]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3310,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5011_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15103,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3310]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3301,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5009_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15085,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3301]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3298,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5008_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15079,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3298]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3295,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5007_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15073,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3295]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3293,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5006_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15069,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3293]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3291,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.78/2.04 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5005_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15065,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.78/2.04 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3291]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3289,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.78/2.04 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5004_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15061,plain,
% 1.78/2.04 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.78/2.04 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3289]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3286,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5003_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15055,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 1.78/2.04 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3286]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3283,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5002_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15049,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.04 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3283]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3281,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5001_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15045,plain,
% 1.78/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.04 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3281]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15046,plain,
% 1.78/2.04 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.04 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 1.78/2.04 inference(rewriting,[status(thm)],[c_15045]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3276,plain,
% 1.78/2.04 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4999_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15035,plain,
% 1.78/2.04 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3276]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3274,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4998_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15031,plain,
% 1.78/2.04 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 1.78/2.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3274]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3270,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4997_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_15023,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.04 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.78/2.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = X2 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3270]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3249,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.04 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 1.78/2.04 | X1 = X0 ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4991_0) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_14981,plain,
% 1.78/2.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.04 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 1.78/2.04 | X1 = X0 ),
% 1.78/2.04 inference(copy,[status(esa)],[c_3249]) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_3242,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4989_1) ).
% 1.78/2.04
% 1.78/2.04 cnf(c_14967,plain,
% 1.78/2.04 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.78/2.04 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3242]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3241,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4989_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14965,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3241]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3238,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4988_1) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14959,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3238]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3237,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4988_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14957,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3237]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3235,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4987_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14953,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3235]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14954,plain,
% 1.78/2.05 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14953]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3233,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4986_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14949,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3233]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14950,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14949]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3231,plain,
% 1.78/2.05 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4985_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14945,plain,
% 1.78/2.05 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3231]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3229,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4984_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14941,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3229]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3225,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4982_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14933,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3225]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14934,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 1.78/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14933]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3223,plain,
% 1.78/2.05 ( ~ class_Int_Onumber__ring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4981_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14929,plain,
% 1.78/2.05 ( ~ class_Int_Onumber__ring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3223]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3220,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4980_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14923,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3220]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3217,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4979_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14917,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3217]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3215,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4978_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14913,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3215]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3212,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4977_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14907,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3212]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3208,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4975_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14899,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3208]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3206,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4974_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14895,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3206]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3202,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4972_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14887,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3202]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3199,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | c_lessequals(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4971_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14881,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | c_lessequals(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3199]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14882,plain,
% 1.78/2.05 ( c_lessequals(X0,X1,X2)
% 1.78/2.05 | c_lessequals(X1,X0,X2)
% 1.78/2.05 | ~ class_Orderings_Olinorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14881]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3190,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 1.78/2.05 | c_lessequals(X1,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4968_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14863,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 1.78/2.05 | c_lessequals(X1,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3190]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14864,plain,
% 1.78/2.05 ( c_lessequals(X0,X0,X1)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 1.78/2.05 | ~ class_Orderings_Olinorder(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14863]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3187,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4967_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14857,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3187]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14858,plain,
% 1.78/2.05 ( c_lessequals(X0,X1,X2)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.78/2.05 | ~ class_Orderings_Olinorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14857]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3184,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4966_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14851,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3184]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3125,plain,
% 1.78/2.05 ( ~ class_RealVector_Oreal__vector(X0)
% 1.78/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4951_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14733,plain,
% 1.78/2.05 ( ~ class_RealVector_Oreal__vector(X0)
% 1.78/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3125]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3116,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4948_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14715,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3116]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3101,plain,
% 1.78/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.78/2.05 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4944_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14685,plain,
% 1.78/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.78/2.05 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3101]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14686,plain,
% 1.78/2.05 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.78/2.05 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14685]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3099,plain,
% 1.78/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.78/2.05 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4943_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14681,plain,
% 1.78/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.78/2.05 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3099]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14682,plain,
% 1.78/2.05 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.78/2.05 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14681]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3095,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4941_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14673,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3095]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14674,plain,
% 1.78/2.05 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14673]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3079,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | X0 = X1 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4936_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14641,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | X0 = X1 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3079]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3074,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4934_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14631,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3074]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3072,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4933_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14627,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3072]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3068,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4931_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14619,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3068]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3066,plain,
% 1.78/2.05 ( ~ class_Int_Onumber__ring(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4930_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14615,plain,
% 1.78/2.05 ( ~ class_Int_Onumber__ring(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3066]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3064,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4929_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14611,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3064]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3062,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4928_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14607,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3062]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14608,plain,
% 1.78/2.05 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14607]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3058,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4926_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14599,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3058]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14600,plain,
% 1.78/2.05 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14599]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3056,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X0,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4925_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14595,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X0,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3056]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3054,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4924_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14591,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3054]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3052,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4923_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14587,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3052]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14588,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14587]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3050,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4922_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14583,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3050]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3047,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 1.78/2.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.78/2.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4921_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14577,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 1.78/2.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.78/2.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3047]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14578,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 1.78/2.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.05 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14577]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3045,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4920_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14573,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3045]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14574,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14573]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3043,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4919_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14569,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3043]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3039,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4917_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14561,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3039]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3037,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4916_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14557,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3037]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14558,plain,
% 1.78/2.05 ( c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14557]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3035,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4915_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14553,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3035]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3032,plain,
% 1.78/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4914_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14547,plain,
% 1.78/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3032]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14548,plain,
% 1.78/2.05 ( c_lessequals(X0,X1,X2)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.78/2.05 | ~ class_Orderings_Opreorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14547]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3029,plain,
% 1.78/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4913_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14541,plain,
% 1.78/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_lessequals(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3029]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14542,plain,
% 1.78/2.05 ( c_lessequals(X0,X1,X2)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.78/2.05 | ~ class_Orderings_Oorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14541]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3020,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | X1 = X0
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4910_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14523,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | X1 = X0
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3020]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14524,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | X1 = X0 ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14523]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3017,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | X0 = X1
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4909_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14517,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | X0 = X1
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3017]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14518,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | X0 = X1 ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14517]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3011,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4907_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14505,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | ~ class_Int_Onumber__ring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3011]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3009,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4906_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14501,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3009]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14502,plain,
% 1.78/2.05 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 1.78/2.05 | ~ c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14501]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_3005,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4904_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14493,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_3005]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14494,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14493]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2970,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | X0 = c_Suc(X1)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4895_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14423,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | X0 = c_Suc(X1)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2970]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14424,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat)
% 1.78/2.05 | X0 = c_Suc(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14423]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2964,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4893_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14411,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 1.78/2.05 | c_lessequals(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2964]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2962,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4892_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14407,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2962]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2949,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.78/2.05 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4889_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14381,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.78/2.05 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2949]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2944,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4887_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14371,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2944]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2942,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4886_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14367,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2942]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2940,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4885_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14363,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2940]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2938,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4884_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14359,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2938]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2936,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4883_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14355,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2936]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2934,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Odvd(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4882_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14351,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Odvd(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2934]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14352,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.05 | ~ class_Ring__and__Field_Odvd(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14351]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2932,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4881_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14347,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2932]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14348,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.78/2.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14347]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2930,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4880_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14343,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2930]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14344,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 1.78/2.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14343]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2928,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4879_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14339,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2928]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2926,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4878_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14335,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2926]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2923,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4877_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14329,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2923]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2917,plain,
% 1.78/2.05 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 1.78/2.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4875_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14317,plain,
% 1.78/2.05 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 1.78/2.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2917]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2914,plain,
% 1.78/2.05 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.05 | X0 = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4874_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14311,plain,
% 1.78/2.05 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.78/2.05 | X0 = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2914]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2911,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4873_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14305,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2911]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2908,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4872_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14299,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2908]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14300,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14299]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2905,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4871_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14293,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2905]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14294,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14293]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2902,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4870_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14287,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2902]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14288,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14287]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2899,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4869_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14281,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2899]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14282,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.78/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.78/2.05 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14281]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2896,plain,
% 1.78/2.05 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.05 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4868_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14275,plain,
% 1.78/2.05 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.05 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2896]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2893,plain,
% 1.78/2.05 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.05 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4867_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14269,plain,
% 1.78/2.05 ( ~ class_Divides_Osemiring__div(X0)
% 1.78/2.05 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2893]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2887,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4865_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14257,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2887]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14258,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.78/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14257]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2885,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4864_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14253,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2885]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14254,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14253]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2880,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4862_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14243,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2880]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14244,plain,
% 1.78/2.05 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14243]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2878,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4861_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14239,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2878]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14240,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14239]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2872,plain,
% 1.78/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4859_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14227,plain,
% 1.78/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2872]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14228,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.78/2.05 | ~ class_Orderings_Oorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14227]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2869,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4858_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14221,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2869]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14222,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.78/2.05 | ~ class_Orderings_Olinorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14221]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2863,plain,
% 1.78/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4856_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14209,plain,
% 1.78/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2863]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14210,plain,
% 1.78/2.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.78/2.05 | ~ class_Orderings_Opreorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14209]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2857,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_lessequals(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4854_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14197,plain,
% 1.78/2.05 ( ~ class_Orderings_Olinorder(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | ~ c_lessequals(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2857]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14198,plain,
% 1.78/2.05 ( ~ c_lessequals(X0,X1,X2)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 1.78/2.05 | ~ class_Orderings_Olinorder(X2) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14197]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2848,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4851_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14179,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2848]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2845,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 1.78/2.05 | X2 = X3 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4850_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14173,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 1.78/2.05 | X2 = X3 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2845]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2842,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 1.78/2.05 | X1 = X3 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4849_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14167,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 1.78/2.05 | X1 = X3 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2842]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2839,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.78/2.05 | X2 = X3 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4848_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14161,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.78/2.05 | X2 = X3 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2839]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2836,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.78/2.05 | X2 = X3 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4847_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14155,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 1.78/2.05 | X2 = X3 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2836]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2834,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4846_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14151,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2834]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14152,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14151]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2832,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4845_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14147,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2832]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14148,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14147]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2802,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4837_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14087,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2802]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2783,plain,
% 1.78/2.05 ( ~ class_RealVector_Oreal__vector(X0)
% 1.78/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = X3 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4831_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14049,plain,
% 1.78/2.05 ( ~ class_RealVector_Oreal__vector(X0)
% 1.78/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 1.78/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.78/2.05 | X1 = X3 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2783]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2781,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4830_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14045,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.78/2.05 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2781]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14046,plain,
% 1.78/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_14045]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2775,plain,
% 1.78/2.05 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4828_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_14033,plain,
% 1.78/2.05 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2775]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2751,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4820_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13985,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2751]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13986,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13985]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2748,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4819_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13979,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2748]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13980,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13979]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2745,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4818_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13973,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2745]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13974,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13973]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2739,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4816_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13961,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2739]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13962,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13961]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2736,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4815_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13955,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2736]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13956,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13955]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2733,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4814_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13949,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2733]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13950,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13949]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2721,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4810_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13925,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2721]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13926,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13925]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2718,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4809_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13919,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2718]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13920,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.78/2.05 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13919]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2715,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4808_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13913,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2715]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13914,plain,
% 1.78/2.05 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.78/2.05 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13913]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2712,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4807_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13907,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2712]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13908,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.78/2.05 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13907]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2709,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4806_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13901,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.78/2.05 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2709]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13902,plain,
% 1.78/2.05 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.78/2.05 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13901]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2701,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4803_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13885,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2701]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2699,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4802_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13881,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.78/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2699]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2695,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 1.78/2.05 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4801_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13873,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.78/2.05 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 1.78/2.05 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.78/2.05 | X1 = X2 ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2695]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2691,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4800_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13865,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2691]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13866,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13865]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2687,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4799_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13857,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2687]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13858,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13857]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2683,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4798_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13849,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2683]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13850,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13849]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2679,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4797_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13841,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2679]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13842,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13841]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2675,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4796_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13833,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2675]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13834,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13833]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2671,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4795_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13825,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2671]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13826,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.78/2.05 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13825]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2667,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4794_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13817,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2667]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13818,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.78/2.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13817]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2661,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4792_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13805,plain,
% 1.78/2.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2661]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13806,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 1.78/2.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13805]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2658,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4791_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13799,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_lessequals(X1,X2,X0)
% 1.78/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2658]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13800,plain,
% 1.78/2.05 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 1.78/2.05 | ~ c_lessequals(X2,X0,X1)
% 1.78/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13799]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2655,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4790_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13793,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2655]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13794,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 1.78/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.78/2.05 inference(rewriting,[status(thm)],[c_13793]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_2637,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4785_0) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13757,plain,
% 1.78/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.78/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.78/2.05 inference(copy,[status(esa)],[c_2637]) ).
% 1.78/2.05
% 1.78/2.05 cnf(c_13758,plain,
% 1.78/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.78/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13757]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2625,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4781_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13733,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2625]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13734,plain,
% 1.88/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13733]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2623,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4780_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13729,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2623]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2621,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4779_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13725,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2621]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2619,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4778_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13721,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2619]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2617,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4777_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13717,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2617]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2615,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4776_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13713,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.05 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2615]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2613,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4775_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13709,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2613]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2611,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4774_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13705,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2611]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2607,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4772_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13697,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2607]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2603,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4770_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13689,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2603]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2601,plain,
% 1.88/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4769_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13685,plain,
% 1.88/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2601]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2600,plain,
% 1.88/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4769_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13683,plain,
% 1.88/2.05 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 1.88/2.05 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2600]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2560,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4759_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13603,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2560]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13604,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.88/2.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13603]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2553,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.88/2.05 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.88/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4757_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13589,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.88/2.05 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.88/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2553]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2550,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4756_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13583,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2550]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2545,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.88/2.05 | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4754_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13573,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.88/2.05 | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2545]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13574,plain,
% 1.88/2.05 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.88/2.05 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 1.88/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13573]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2539,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.88/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4752_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13561,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.88/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2539]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13562,plain,
% 1.88/2.05 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.88/2.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 1.88/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13561]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2533,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4750_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13549,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2533]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13550,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 1.88/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13549]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2527,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4748_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13537,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2527]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13538,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 1.88/2.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13537]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2501,plain,
% 1.88/2.05 ( c_lessequals(X0,X1,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X0,X2,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X2,X1,tc_nat) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4741_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13485,plain,
% 1.88/2.05 ( c_lessequals(X0,X1,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X0,X2,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X2,X1,tc_nat) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2501]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2500,plain,
% 1.88/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.05 | c_lessequals(X2,X1,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X2,X0,tc_nat) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4741_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13483,plain,
% 1.88/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.05 | c_lessequals(X2,X1,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X2,X0,tc_nat) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2500]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2499,plain,
% 1.88/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X2,X0,tc_nat)
% 1.88/2.05 | c_lessequals(X2,X1,tc_nat) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4741_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13481,plain,
% 1.88/2.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.05 | ~ c_lessequals(X2,X0,tc_nat)
% 1.88/2.05 | c_lessequals(X2,X1,tc_nat) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2499]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2494,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.88/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4739_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13471,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.88/2.05 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2494]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2492,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4738_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13467,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2492]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2490,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4737_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13463,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2490]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13464,plain,
% 1.88/2.05 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 1.88/2.05 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13463]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2489,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4736_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13461,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2489]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2481,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4734_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13445,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2481]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2475,plain,
% 1.88/2.05 ( ~ class_Power_Opower(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4731_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13433,plain,
% 1.88/2.05 ( ~ class_Power_Opower(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2475]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2473,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4730_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13429,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2473]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2471,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4729_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13425,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2471]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2459,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4725_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13401,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2459]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2457,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.88/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4724_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13397,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.88/2.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2457]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2455,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4723_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13393,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2455]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2453,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4722_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13389,plain,
% 1.88/2.05 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2453]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2451,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.05 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4721_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13385,plain,
% 1.88/2.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.05 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2451]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2449,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4720_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13381,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2449]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2447,plain,
% 1.88/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.88/2.05 | c_lessequals(X1,X2,X0)
% 1.88/2.05 | ~ c_lessequals(X3,X2,X0)
% 1.88/2.05 | ~ c_lessequals(X1,X3,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4719_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13377,plain,
% 1.88/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.88/2.05 | c_lessequals(X1,X2,X0)
% 1.88/2.05 | ~ c_lessequals(X3,X2,X0)
% 1.88/2.05 | ~ c_lessequals(X1,X3,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2447]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13378,plain,
% 1.88/2.05 ( c_lessequals(X0,X1,X2)
% 1.88/2.05 | ~ c_lessequals(X3,X1,X2)
% 1.88/2.05 | ~ c_lessequals(X0,X3,X2)
% 1.88/2.05 | ~ class_Orderings_Oorder(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13377]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2435,plain,
% 1.88/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.88/2.05 | c_lessequals(X1,X2,X0)
% 1.88/2.05 | ~ c_lessequals(X1,X3,X0)
% 1.88/2.05 | ~ c_lessequals(X3,X2,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4716_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13353,plain,
% 1.88/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.88/2.05 | c_lessequals(X1,X2,X0)
% 1.88/2.05 | ~ c_lessequals(X1,X3,X0)
% 1.88/2.05 | ~ c_lessequals(X3,X2,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2435]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13354,plain,
% 1.88/2.05 ( c_lessequals(X0,X1,X2)
% 1.88/2.05 | ~ c_lessequals(X0,X3,X2)
% 1.88/2.05 | ~ c_lessequals(X3,X1,X2)
% 1.88/2.05 | ~ class_Orderings_Opreorder(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13353]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2423,plain,
% 1.88/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4713_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13329,plain,
% 1.88/2.05 ( ~ class_Orderings_Opreorder(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2423]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13330,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.88/2.05 | ~ class_Orderings_Opreorder(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13329]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2419,plain,
% 1.88/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4712_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13321,plain,
% 1.88/2.05 ( ~ class_Orderings_Oorder(X0)
% 1.88/2.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2419]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13322,plain,
% 1.88/2.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.88/2.05 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.88/2.05 | ~ class_Orderings_Oorder(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13321]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2415,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.88/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4711_2) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13313,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.05 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.88/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2415]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13314,plain,
% 1.88/2.05 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.88/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.88/2.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 1.88/2.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.88/2.05 inference(rewriting,[status(thm)],[c_13313]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2410,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4710_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13303,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2410]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2401,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4707_1) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13285,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 inference(copy,[status(esa)],[c_2401]) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_2400,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.88/2.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4707_0) ).
% 1.88/2.05
% 1.88/2.05 cnf(c_13283,plain,
% 1.88/2.05 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.88/2.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.88/2.06 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2400]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2398,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4706_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13279,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2398]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2396,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.06 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4705_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13275,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.06 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2396]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2383,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4702_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13249,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2383]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13250,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 1.88/2.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13249]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2380,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4701_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13243,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2380]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13244,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 1.88/2.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13243]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2365,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4696_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13213,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2365]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13214,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13213]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2362,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4695_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13207,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2362]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13208,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(X0,X1,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13207]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2359,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4694_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13201,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2359]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13202,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13201]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2356,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4693_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13195,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2356]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13196,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13195]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2353,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4692_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13189,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2353]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13190,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13189]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2350,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4691_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13183,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2350]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13184,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13183]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2347,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4690_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13177,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2347]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13178,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13177]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2344,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4689_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13171,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2344]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13172,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13171]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2342,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4688_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13167,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2342]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13168,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13167]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2339,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4687_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13161,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2339]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13162,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13161]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2336,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4686_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13155,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2336]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13156,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13155]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2333,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4685_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13149,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2333]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13150,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13149]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2298,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 1.88/2.06 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4677_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13079,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 1.88/2.06 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2298]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2276,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4672_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13035,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2276]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13036,plain,
% 1.88/2.06 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13035]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2273,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4671_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13029,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2273]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_13030,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_13029]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2244,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4664_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12971,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2244]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12972,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12971]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2240,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4663_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12963,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2240]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12964,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12963]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2236,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | 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) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4662_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12955,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | 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) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2236]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12956,plain,
% 1.88/2.06 ( 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)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12955]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2232,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | 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) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4661_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12947,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | 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) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2232]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12948,plain,
% 1.88/2.06 ( 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)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12947]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2209,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4655_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12901,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,X1,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2209]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12902,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 1.88/2.06 | ~ c_lessequals(X2,X0,X1)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12901]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2205,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4654_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12893,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2205]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12894,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 1.88/2.06 | ~ c_lessequals(X2,X0,X1)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12893]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2180,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.88/2.06 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.88/2.06 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4648_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12843,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.88/2.06 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.88/2.06 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2180]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2171,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4646_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12825,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2171]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12826,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oidom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12825]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2169,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4645_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12821,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2169]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12822,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 1.88/2.06 | ~ class_Ring__and__Field_Oidom(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12821]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2167,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4644_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12817,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.06 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2167]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2152,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4640_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12787,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2152]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12788,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.88/2.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12787]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2150,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4639_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12783,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2150]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2145,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4637_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12773,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2145]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2143,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4636_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12769,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2143]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2127,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4631_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12737,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2127]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2125,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4630_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12733,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2125]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2085,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4619_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12653,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2085]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2083,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.88/2.06 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4618_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12649,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.88/2.06 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2083]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2081,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4617_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12645,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2081]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2079,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4616_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12641,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2079]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2077,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4615_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12637,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2077]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2073,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4613_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12629,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2073]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2071,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4612_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12625,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2071]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2067,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4610_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12617,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2067]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2065,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4609_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12613,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2065]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2063,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4608_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12609,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2063]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2061,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4607_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12605,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2061]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2059,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4606_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12601,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2059]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2055,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4604_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12593,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2055]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2053,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4603_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12589,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2053]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2051,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4602_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12585,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2051]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2049,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4601_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12581,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2049]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2045,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4599_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12573,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2045]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2041,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4597_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12565,plain,
% 1.88/2.06 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.06 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2041]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2037,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4595_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12557,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2037]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2033,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4593_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12549,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2033]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2031,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4592_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12545,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2031]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2029,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4591_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12541,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 1.88/2.06 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2029]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2027,plain,
% 1.88/2.06 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4590_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12537,plain,
% 1.88/2.06 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2027]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2025,plain,
% 1.88/2.06 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4589_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12533,plain,
% 1.88/2.06 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2025]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2004,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4582_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12491,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2004]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_2001,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 1.88/2.06 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4581_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12485,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 1.88/2.06 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_2001]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1993,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4578_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12469,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1993]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1989,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.06 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4577_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12461,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.06 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1989]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1986,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4576_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12455,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1986]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1983,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.06 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4575_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12449,plain,
% 1.88/2.06 ( ~ class_Divides_Osemiring__div(X0)
% 1.88/2.06 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.06 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1983]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1981,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4574_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12445,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1981]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12446,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 1.88/2.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12445]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1977,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4573_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12437,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1977]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12438,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 1.88/2.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12437]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1973,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4572_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12429,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1973]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1971,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4571_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12425,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1971]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1957,plain,
% 1.88/2.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4566_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12397,plain,
% 1.88/2.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1957]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12398,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12397]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1955,plain,
% 1.88/2.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4565_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12393,plain,
% 1.88/2.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1955]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12394,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.06 | ~ c_lessequals(X0,X2,tc_nat) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12393]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1930,plain,
% 1.88/2.06 ( ~ class_Orderings_Olinorder(X0)
% 1.88/2.06 | ~ class_Int_Onumber(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4559_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12343,plain,
% 1.88/2.06 ( ~ class_Orderings_Olinorder(X0)
% 1.88/2.06 | ~ class_Int_Onumber(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1930]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12344,plain,
% 1.88/2.06 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 1.88/2.06 | ~ class_Int_Onumber(X1)
% 1.88/2.06 | ~ class_Orderings_Olinorder(X1) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12343]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1870,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4544_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12223,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1870]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12224,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12223]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1867,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4543_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12217,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1867]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12218,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12217]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1864,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4542_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12211,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1864]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12212,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12211]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1861,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4541_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12205,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1861]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12206,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12205]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1858,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4540_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12199,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1858]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12200,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12199]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1855,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4539_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12193,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1855]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12194,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oidom(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12193]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1852,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4538_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12187,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oidom(X0)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.88/2.06 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1852]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12188,plain,
% 1.88/2.06 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.88/2.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oidom(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12187]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1849,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4537_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12181,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1849]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12182,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 1.88/2.06 | ~ c_lessequals(X1,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12181]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1846,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4536_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12175,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1846]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12176,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.88/2.06 | ~ c_lessequals(X0,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12175]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1843,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4535_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12169,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1843]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12170,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 1.88/2.06 | ~ c_lessequals(X1,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12169]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1840,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4534_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12163,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 1.88/2.06 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1840]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12164,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 1.88/2.06 | ~ c_lessequals(X0,X3,X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12163]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1837,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4533_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12157,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1837]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1834,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4532_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12151,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1834]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1832,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4531_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12147,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1832]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12148,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12147]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1826,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4530_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12135,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1826]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12136,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12135]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1820,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4528_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12123,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1820]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12124,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12123]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1816,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4527_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12115,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1816]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12116,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12115]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1812,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4526_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12107,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1812]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12108,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12107]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1808,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4525_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12099,plain,
% 1.88/2.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1808]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12100,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12099]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1782,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4519_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12047,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1782]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12048,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.88/2.06 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12047]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1778,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4518_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12039,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1778]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12040,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12039]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1770,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4516_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12023,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1770]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12024,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12023]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1766,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4515_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12015,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1766]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12016,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12015]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1762,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4514_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12007,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1762]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12008,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12007]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1760,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4513_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12003,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1760]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_12004,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_12003]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1756,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4512_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11995,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1756]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11996,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11995]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1744,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4509_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11971,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1744]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11972,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11971]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1740,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4508_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11963,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1740]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11964,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11963]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1736,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4507_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11955,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1736]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11956,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11955]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1732,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4506_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11947,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1732]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11948,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11947]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1728,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4505_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11939,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1728]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11940,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11939]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1720,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4503_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11923,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1720]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11924,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11923]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1716,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4502_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11915,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1716]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11916,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11915]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1706,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4500_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11895,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1706]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11896,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11895]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1702,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4499_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11887,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1702]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11888,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11887]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1698,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4498_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11879,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1698]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11880,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11879]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1694,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4497_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11871,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1694]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11872,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11871]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1692,plain,
% 1.88/2.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4496_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11867,plain,
% 1.88/2.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 1.88/2.06 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1692]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11868,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 1.88/2.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11867]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1690,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4495_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11863,plain,
% 1.88/2.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1690]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11864,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11863]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1680,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4493_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11843,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1680]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11844,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11843]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1677,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4492_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11837,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1677]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11838,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11837]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1672,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4491_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11827,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1672]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11828,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11827]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1665,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4490_0) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11813,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.06 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1665]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11814,plain,
% 1.88/2.06 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11813]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1657,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4488_2) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11797,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.88/2.06 inference(copy,[status(esa)],[c_1657]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_11798,plain,
% 1.88/2.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.06 inference(rewriting,[status(thm)],[c_11797]) ).
% 1.88/2.06
% 1.88/2.06 cnf(c_1652,plain,
% 1.88/2.06 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4487_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11787,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1652]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11788,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11787]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1645,plain,
% 1.88/2.07 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.88/2.07 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4485_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11773,plain,
% 1.88/2.07 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 1.88/2.07 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1645]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1642,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4484_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11767,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1642]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1492,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4453_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11467,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1492]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1464,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_lessequals(X0,X2,tc_nat)
% 1.88/2.07 | ~ c_lessequals(X1,X3,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4445_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11411,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_lessequals(X0,X2,tc_nat)
% 1.88/2.07 | ~ c_lessequals(X1,X3,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1464]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1460,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oring__1(X0)
% 1.88/2.07 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4444_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11403,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oring__1(X0)
% 1.88/2.07 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1460]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1448,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4440_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11379,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1448]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11380,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11379]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1445,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4439_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11373,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1445]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11374,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11373]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1440,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4437_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11363,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1440]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1438,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4436_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11359,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1438]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1436,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.07 | 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) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4435_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11355,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.88/2.07 | 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) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1436]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1434,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.07 | 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) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4434_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11351,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.07 | 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) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1434]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1432,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4433_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11347,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1432]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1430,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.88/2.07 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4432_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11343,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.88/2.07 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1430]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1428,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4431_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11339,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1428]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1426,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4430_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11335,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1426]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1422,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4428_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11327,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1422]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1418,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4426_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11319,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1418]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1416,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4425_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11315,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1416]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1414,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4424_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11311,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__vector(X0)
% 1.88/2.07 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1414]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1410,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4422_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11303,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1410]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1408,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4421_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11299,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1408]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1404,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4419_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11291,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1404]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1400,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4417_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11283,plain,
% 1.88/2.07 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1400]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1398,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4416_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11279,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1398]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1395,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4415_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11273,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1395]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1392,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4414_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11267,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.88/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1392]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1389,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.07 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.88/2.07 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4413_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11261,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.88/2.07 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.88/2.07 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1389]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1380,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.88/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.88/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4410_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11243,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.88/2.07 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.88/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.88/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1380]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11244,plain,
% 1.88/2.07 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.88/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.88/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11243]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1368,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4407_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11219,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1368]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11220,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 1.88/2.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11219]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1364,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 1.88/2.07 | ~ c_lessequals(X1,X3,X0)
% 1.88/2.07 | ~ c_lessequals(X2,X4,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4406_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11211,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 1.88/2.07 | ~ c_lessequals(X1,X3,X0)
% 1.88/2.07 | ~ c_lessequals(X2,X4,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1364]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11212,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 1.88/2.07 | ~ c_lessequals(X0,X3,X2)
% 1.88/2.07 | ~ c_lessequals(X1,X4,X2)
% 1.88/2.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11211]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1319,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.07 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4397_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11121,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.07 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1319]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11122,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.88/2.07 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11121]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1314,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.07 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4396_2) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11111,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.88/2.07 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.88/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1314]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11112,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.88/2.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.07 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11111]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1292,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4391_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11067,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1292]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11068,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11067]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1288,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4390_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11059,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1288]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11060,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11059]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1276,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4387_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11035,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1276]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11036,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11035]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1272,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4386_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11027,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1272]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_11028,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_11027]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1220,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4373_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10923,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1220]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1218,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4372_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10919,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1218]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1202,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4368_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10887,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1202]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1200,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4367_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10883,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1200]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1154,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4357_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10791,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1154]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10792,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10791]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1144,plain,
% 1.88/2.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 1.88/2.07 | c_lessequals(X1,X2,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4354_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10771,plain,
% 1.88/2.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 1.88/2.07 | c_lessequals(X1,X2,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1144]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1142,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4353_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10767,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1142]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1135,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.07 | ~ class_Int_Onumber(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4352_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10753,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.07 | ~ class_Int_Onumber(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1135]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10754,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.88/2.07 | ~ class_Int_Onumber(X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.88/2.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10753]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1107,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.07 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.07 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 1.88/2.07 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4347_1) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10697,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.88/2.07 | ~ c_lessequals(X1,X2,X0)
% 1.88/2.07 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 1.88/2.07 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1107]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10698,plain,
% 1.88/2.07 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 1.88/2.07 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 1.88/2.07 | ~ c_lessequals(X4,X2,X3)
% 1.88/2.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10697]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1104,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4346_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10691,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1104]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10692,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 1.88/2.07 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10691]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1102,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4345_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10687,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1102]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10688,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 1.88/2.07 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10687]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1100,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4344_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10683,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1100]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10684,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 1.88/2.07 | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10683]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1098,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4343_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10679,plain,
% 1.88/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.88/2.07 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1098]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10680,plain,
% 1.88/2.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 1.88/2.07 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.88/2.07 inference(rewriting,[status(thm)],[c_10679]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1096,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.07 | c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4342_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10675,plain,
% 1.88/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.88/2.07 | c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1096]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_1084,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.88/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4339_0) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10651,plain,
% 1.88/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.88/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.88/2.07 inference(copy,[status(esa)],[c_1084]) ).
% 1.88/2.07
% 1.88/2.07 cnf(c_10652,plain,
% 1.88/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.88/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_10651]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_1039,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4331_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10561,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_1039]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10562,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.89/2.07 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_10561]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_1034,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4330_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10551,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_1034]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10552,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.89/2.07 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_10551]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_1002,plain,
% 1.89/2.07 ( ~ class_Divides_Osemiring__div(X0)
% 1.89/2.07 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4323_3) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10487,plain,
% 1.89/2.07 ( ~ class_Divides_Osemiring__div(X0)
% 1.89/2.07 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_1002]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10488,plain,
% 1.89/2.07 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.89/2.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.89/2.07 | ~ class_Divides_Osemiring__div(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_10487]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_989,plain,
% 1.89/2.07 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.89/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4320_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10461,plain,
% 1.89/2.07 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.89/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_989]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_987,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4319_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10457,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_987]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_985,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4318_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10453,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_985]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_961,plain,
% 1.89/2.07 ( ~ class_Divides_Osemiring__div(X0)
% 1.89/2.07 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4312_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10405,plain,
% 1.89/2.07 ( ~ class_Divides_Osemiring__div(X0)
% 1.89/2.07 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_961]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_958,plain,
% 1.89/2.07 ( ~ class_Divides_Osemiring__div(X0)
% 1.89/2.07 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 1.89/2.07 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4311_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10399,plain,
% 1.89/2.07 ( ~ class_Divides_Osemiring__div(X0)
% 1.89/2.07 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 1.89/2.07 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_958]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_928,plain,
% 1.89/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4303_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10339,plain,
% 1.89/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_928]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_919,plain,
% 1.89/2.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.89/2.07 | c_lessequals(X1,X2,tc_nat) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4300_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10321,plain,
% 1.89/2.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 1.89/2.07 | c_lessequals(X1,X2,tc_nat) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_919]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10322,plain,
% 1.89/2.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 1.89/2.07 | c_lessequals(X1,X2,tc_nat)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_10321]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_902,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4295_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10287,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_902]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_899,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4294_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10281,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_899]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_896,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4293_1) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10275,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_896]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_895,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4293_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10273,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_895]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_892,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4292_1) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10267,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_892]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_891,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4292_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10265,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_891]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_888,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4291_1) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10259,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_888]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_887,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4291_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10257,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_887]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_776,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4267_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10035,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_776]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_10036,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_10035]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_698,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4254_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9879,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_698]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9880,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9879]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_660,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4246_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9803,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_660]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9804,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 1.89/2.07 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 1.89/2.07 | ~ class_Int_Onumber(X1)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9803]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_654,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4244_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9791,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_654]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9792,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9791]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_652,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4243_2) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9787,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_652]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9788,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9787]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_584,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4232_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9651,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_584]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9652,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 1.89/2.07 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.89/2.07 | ~ class_Int_Onumber(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9651]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_570,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4229_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9623,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_570]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_568,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4228_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9619,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.89/2.07 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_568]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_559,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4226_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9601,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_559]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9602,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9601]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_529,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4221_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9541,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_529]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9542,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9541]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_508,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4218_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9499,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_508]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9500,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9499]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_489,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4215_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9461,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_489]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9462,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.89/2.07 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.89/2.07 | ~ class_Int_Onumber(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9461]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_483,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4214_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9449,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.89/2.07 | ~ class_Int_Onumber(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 1.89/2.07 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 1.89/2.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_483]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9450,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 1.89/2.07 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 1.89/2.07 | ~ class_Int_Onumber(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9449]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_425,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4203_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9333,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_425]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9334,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9333]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_422,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4202_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9327,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_422]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9328,plain,
% 1.89/2.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9327]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_364,plain,
% 1.89/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4193_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9211,plain,
% 1.89/2.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.89/2.07 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_364]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_9212,plain,
% 1.89/2.07 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 1.89/2.07 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_9211]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_188,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Osemiring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4165_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8859,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Osemiring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_188]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_185,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 1.89/2.07 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4164_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8853,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 1.89/2.07 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_185]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_182,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4163_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8847,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 1.89/2.07 inference(copy,[status(esa)],[c_182]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8848,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_8847]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_180,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4162_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8843,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_180]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8844,plain,
% 1.89/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_8843]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_143,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4155_1) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8769,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_143]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_142,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4155_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8767,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_142]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_139,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4154_1) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8761,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_139]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_138,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4154_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8759,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.89/2.07 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_138]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_79,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4145_1) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8641,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_79]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_78,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4145_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8639,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.89/2.07 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 1.89/2.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_78]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_46,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4139_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8575,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oring(X0)
% 1.89/2.07 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_46]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_44,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4138_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8571,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_44]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8572,plain,
% 1.89/2.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 1.89/2.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.89/2.07 inference(rewriting,[status(thm)],[c_8571]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_31,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4135_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8545,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 1.89/2.07 inference(copy,[status(esa)],[c_31]) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_28,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.07 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 1.89/2.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4134_0) ).
% 1.89/2.07
% 1.89/2.07 cnf(c_8539,plain,
% 1.89/2.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_28]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8540,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 1.89/2.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 1.89/2.08 inference(rewriting,[status(thm)],[c_8539]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_25,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.08 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4133_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8533,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.08 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_25]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8534,plain,
% 1.89/2.08 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 1.89/2.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 1.89/2.08 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.89/2.08 inference(rewriting,[status(thm)],[c_8533]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_19,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4131_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8521,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_19]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8522,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 1.89/2.08 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 1.89/2.08 inference(rewriting,[status(thm)],[c_8521]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_16,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4130_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8515,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 1.89/2.08 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_16]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_10,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 1.89/2.08 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4128_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8503,plain,
% 1.89/2.08 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.89/2.08 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 1.89/2.08 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_10]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8504,plain,
% 1.89/2.08 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 1.89/2.08 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 1.89/2.08 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.89/2.08 inference(rewriting,[status(thm)],[c_8503]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_7,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.89/2.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 1.89/2.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4127_1) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8497,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.89/2.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 1.89/2.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_7]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_6,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.89/2.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 1.89/2.08 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4127_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8495,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.89/2.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 1.89/2.08 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.89/2.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_6]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_4,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__field(X0)
% 1.89/2.08 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4126_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8491,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__field(X0)
% 1.89/2.08 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_4]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_2,plain,
% 1.89/2.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.89/2.08 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4125_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8487,plain,
% 1.89/2.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.89/2.08 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_2]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8488,plain,
% 1.89/2.08 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 1.89/2.08 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 1.89/2.08 inference(rewriting,[status(thm)],[c_8487]) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_0,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.89/2.08 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.89/2.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4124_0) ).
% 1.89/2.08
% 1.89/2.08 cnf(c_8483,plain,
% 1.89/2.08 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.89/2.08 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 1.89/2.08 inference(copy,[status(esa)],[c_0]) ).
% 1.89/2.08
% 1.89/2.08
% 1.89/2.08
% 1.89/2.08 % ------ Statistics
% 1.89/2.08
% 1.89/2.08 % ------ General
% 1.89/2.08
% 1.89/2.08 % num_of_input_clauses: 3909
% 1.89/2.08 % num_of_input_neg_conjectures: 1
% 1.89/2.08 % num_of_splits: 0
% 1.89/2.08 % num_of_split_atoms: 0
% 1.89/2.08 % num_of_sem_filtered_clauses: 0
% 1.89/2.08 % num_of_subtypes: 0
% 1.89/2.08 % monotx_restored_types: 0
% 1.89/2.08 % sat_num_of_epr_types: 0
% 1.89/2.08 % sat_num_of_non_cyclic_types: 0
% 1.89/2.08 % sat_guarded_non_collapsed_types: 0
% 1.89/2.08 % is_epr: 0
% 1.89/2.08 % is_horn: 0
% 1.89/2.08 % has_eq: 1
% 1.89/2.08 % num_pure_diseq_elim: 0
% 1.89/2.08 % simp_replaced_by: 0
% 1.89/2.08 % res_preprocessed: 2
% 1.89/2.08 % prep_upred: 0
% 1.89/2.08 % prep_unflattend: 0
% 1.89/2.08 % pred_elim_cands: 0
% 1.89/2.08 % pred_elim: 0
% 1.89/2.08 % pred_elim_cl: 0
% 1.89/2.08 % pred_elim_cycles: 0
% 1.89/2.08 % forced_gc_time: 0
% 1.89/2.08 % gc_basic_clause_elim: 0
% 1.89/2.08 % parsing_time: 0.15
% 1.89/2.08 % sem_filter_time: 0.
% 1.89/2.08 % pred_elim_time: 0.
% 1.89/2.08 % out_proof_time: 0.
% 1.89/2.08 % monotx_time: 0.
% 1.89/2.08 % subtype_inf_time: 0.
% 1.89/2.08 % unif_index_cands_time: 0.
% 1.89/2.08 % unif_index_add_time: 0.001
% 1.89/2.08 % total_time: 1.394
% 1.89/2.08 % num_of_symbols: 127
% 1.89/2.08 % num_of_terms: 6256
% 1.89/2.08
% 1.89/2.08 % ------ Propositional Solver
% 1.89/2.08
% 1.89/2.08 % prop_solver_calls: 1
% 1.89/2.08 % prop_fast_solver_calls: 3
% 1.89/2.08 % prop_num_of_clauses: 2956
% 1.89/2.08 % prop_preprocess_simplified: 12248
% 1.89/2.08 % prop_fo_subsumed: 0
% 1.89/2.08 % prop_solver_time: 0.
% 1.89/2.08 % prop_fast_solver_time: 0.
% 1.89/2.08 % prop_unsat_core_time: 0.
% 1.89/2.08
% 1.89/2.08 % ------ QBF
% 1.89/2.08
% 1.89/2.08 % qbf_q_res: 0
% 1.89/2.08 % qbf_num_tautologies: 0
% 1.89/2.08 % qbf_prep_cycles: 0
% 1.89/2.08
% 1.89/2.08 % ------ BMC1
% 1.89/2.08
% 1.89/2.08 % bmc1_current_bound: -1
% 1.89/2.08 % bmc1_last_solved_bound: -1
% 1.89/2.08 % bmc1_unsat_core_size: -1
% 1.89/2.08 % bmc1_unsat_core_parents_size: -1
% 1.89/2.08 % bmc1_merge_next_fun: 0
% 1.89/2.08 % bmc1_unsat_core_clauses_time: 0.
% 1.89/2.08
% 1.89/2.08 % ------ Instantiation
% 1.89/2.08
% 1.89/2.08 % inst_num_of_clauses: 3642
% 1.89/2.08 % inst_num_in_passive: 0
% 1.89/2.08 % inst_num_in_active: 0
% 1.89/2.08 % inst_num_in_unprocessed: 3909
% 1.89/2.08 % inst_num_of_loops: 0
% 1.89/2.08 % inst_num_of_learning_restarts: 0
% 1.89/2.08 % inst_num_moves_active_passive: 0
% 1.89/2.08 % inst_lit_activity: 0
% 1.89/2.08 % inst_lit_activity_moves: 0
% 1.89/2.08 % inst_num_tautologies: 0
% 1.89/2.08 % inst_num_prop_implied: 0
% 1.89/2.08 % inst_num_existing_simplified: 0
% 1.89/2.08 % inst_num_eq_res_simplified: 0
% 1.89/2.08 % inst_num_child_elim: 0
% 1.89/2.08 % inst_num_of_dismatching_blockings: 0
% 1.89/2.08 % inst_num_of_non_proper_insts: 0
% 1.89/2.08 % inst_num_of_duplicates: 0
% 1.89/2.08 % inst_inst_num_from_inst_to_res: 0
% 1.89/2.08 % inst_dismatching_checking_time: 0.
% 1.89/2.08
% 1.89/2.08 % ------ Resolution
% 1.89/2.08
% 1.89/2.08 % res_num_of_clauses: 4178
% 1.89/2.08 % res_num_in_passive: 0
% 1.89/2.08 % res_num_in_active: 1278
% 1.89/2.08 % res_num_of_loops: 2
% 1.89/2.08 % res_forward_subset_subsumed: 2612
% 1.89/2.08 % res_backward_subset_subsumed: 4
% 1.89/2.08 % res_forward_subsumed: 0
% 1.89/2.08 % res_backward_subsumed: 0
% 1.89/2.08 % res_forward_subsumption_resolution: 0
% 1.89/2.08 % res_backward_subsumption_resolution: 0
% 1.89/2.08 % res_clause_to_clause_subsumption: 0
% 1.89/2.08 % res_orphan_elimination: 0
% 1.89/2.08 % res_tautology_del: 0
% 1.89/2.08 % res_num_eq_res_simplified: 0
% 1.89/2.08 % res_num_sel_changes: 0
% 1.89/2.08 % res_moves_from_active_to_pass: 0
% 1.89/2.08
% 1.89/2.08 % Status Unknown
% 2.15/2.32 % Orienting using strategy ClausalAll
% 2.15/2.32 % Orientation found
% 2.15/2.32 % 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_92812e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d823bd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_29f6d4 | grep -v "SZS"
% 2.15/2.34
% 2.15/2.34 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 2.15/2.34
% 2.15/2.34 %
% 2.15/2.34 % ------ iProver source info
% 2.15/2.34
% 2.15/2.34 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 2.15/2.34 % git: non_committed_changes: true
% 2.15/2.34 % git: last_make_outside_of_git: true
% 2.15/2.34
% 2.15/2.34 %
% 2.15/2.34 % ------ Input Options
% 2.15/2.34
% 2.15/2.34 % --out_options all
% 2.15/2.34 % --tptp_safe_out true
% 2.15/2.34 % --problem_path ""
% 2.15/2.34 % --include_path ""
% 2.15/2.34 % --clausifier .//eprover
% 2.15/2.34 % --clausifier_options --tstp-format
% 2.15/2.34 % --stdin false
% 2.15/2.34 % --dbg_backtrace false
% 2.15/2.34 % --dbg_dump_prop_clauses false
% 2.15/2.34 % --dbg_dump_prop_clauses_file -
% 2.15/2.34 % --dbg_out_stat false
% 2.15/2.34
% 2.15/2.34 % ------ General Options
% 2.15/2.34
% 2.15/2.34 % --fof false
% 2.15/2.34 % --time_out_real 150.
% 2.15/2.34 % --time_out_prep_mult 0.2
% 2.15/2.34 % --time_out_virtual -1.
% 2.15/2.34 % --schedule none
% 2.15/2.34 % --ground_splitting input
% 2.15/2.34 % --splitting_nvd 16
% 2.15/2.34 % --non_eq_to_eq false
% 2.15/2.34 % --prep_gs_sim true
% 2.15/2.34 % --prep_unflatten false
% 2.15/2.34 % --prep_res_sim true
% 2.15/2.34 % --prep_upred true
% 2.15/2.34 % --res_sim_input true
% 2.15/2.34 % --clause_weak_htbl true
% 2.15/2.34 % --gc_record_bc_elim false
% 2.15/2.34 % --symbol_type_check false
% 2.15/2.34 % --clausify_out false
% 2.15/2.34 % --large_theory_mode false
% 2.15/2.34 % --prep_sem_filter none
% 2.15/2.34 % --prep_sem_filter_out false
% 2.15/2.34 % --preprocessed_out false
% 2.15/2.34 % --sub_typing false
% 2.15/2.34 % --brand_transform false
% 2.15/2.34 % --pure_diseq_elim true
% 2.15/2.34 % --min_unsat_core false
% 2.15/2.34 % --pred_elim true
% 2.15/2.34 % --add_important_lit false
% 2.15/2.34 % --soft_assumptions false
% 2.15/2.34 % --reset_solvers false
% 2.15/2.34 % --bc_imp_inh []
% 2.15/2.34 % --conj_cone_tolerance 1.5
% 2.15/2.34 % --prolific_symb_bound 500
% 2.15/2.34 % --lt_threshold 2000
% 2.15/2.34
% 2.15/2.34 % ------ SAT Options
% 2.15/2.34
% 2.15/2.34 % --sat_mode false
% 2.15/2.34 % --sat_fm_restart_options ""
% 2.15/2.34 % --sat_gr_def false
% 2.15/2.34 % --sat_epr_types true
% 2.15/2.34 % --sat_non_cyclic_types false
% 2.15/2.34 % --sat_finite_models false
% 2.15/2.34 % --sat_fm_lemmas false
% 2.15/2.34 % --sat_fm_prep false
% 2.15/2.34 % --sat_fm_uc_incr true
% 2.15/2.34 % --sat_out_model small
% 2.15/2.34 % --sat_out_clauses false
% 2.15/2.34
% 2.15/2.34 % ------ QBF Options
% 2.15/2.34
% 2.15/2.34 % --qbf_mode false
% 2.15/2.34 % --qbf_elim_univ true
% 2.15/2.34 % --qbf_sk_in true
% 2.15/2.34 % --qbf_pred_elim true
% 2.15/2.34 % --qbf_split 32
% 2.15/2.34
% 2.15/2.34 % ------ BMC1 Options
% 2.15/2.34
% 2.15/2.34 % --bmc1_incremental false
% 2.15/2.34 % --bmc1_axioms reachable_all
% 2.15/2.34 % --bmc1_min_bound 0
% 2.15/2.34 % --bmc1_max_bound -1
% 2.15/2.34 % --bmc1_max_bound_default -1
% 2.15/2.34 % --bmc1_symbol_reachability true
% 2.15/2.34 % --bmc1_property_lemmas false
% 2.15/2.34 % --bmc1_k_induction false
% 2.15/2.34 % --bmc1_non_equiv_states false
% 2.15/2.34 % --bmc1_deadlock false
% 2.15/2.34 % --bmc1_ucm false
% 2.15/2.34 % --bmc1_add_unsat_core none
% 2.15/2.34 % --bmc1_unsat_core_children false
% 2.15/2.34 % --bmc1_unsat_core_extrapolate_axioms false
% 2.15/2.34 % --bmc1_out_stat full
% 2.15/2.34 % --bmc1_ground_init false
% 2.15/2.34 % --bmc1_pre_inst_next_state false
% 2.15/2.34 % --bmc1_pre_inst_state false
% 2.15/2.34 % --bmc1_pre_inst_reach_state false
% 2.15/2.34 % --bmc1_out_unsat_core false
% 2.15/2.34 % --bmc1_aig_witness_out false
% 2.15/2.34 % --bmc1_verbose false
% 2.15/2.34 % --bmc1_dump_clauses_tptp false
% 3.19/3.36 % --bmc1_dump_unsat_core_tptp false
% 3.19/3.36 % --bmc1_dump_file -
% 3.19/3.36 % --bmc1_ucm_expand_uc_limit 128
% 3.19/3.36 % --bmc1_ucm_n_expand_iterations 6
% 3.19/3.36 % --bmc1_ucm_extend_mode 1
% 3.19/3.36 % --bmc1_ucm_init_mode 2
% 3.19/3.36 % --bmc1_ucm_cone_mode none
% 3.19/3.36 % --bmc1_ucm_reduced_relation_type 0
% 3.19/3.36 % --bmc1_ucm_relax_model 4
% 3.19/3.36 % --bmc1_ucm_full_tr_after_sat true
% 3.19/3.36 % --bmc1_ucm_expand_neg_assumptions false
% 3.19/3.36 % --bmc1_ucm_layered_model none
% 3.19/3.36 % --bmc1_ucm_max_lemma_size 10
% 3.19/3.36
% 3.19/3.36 % ------ AIG Options
% 3.19/3.36
% 3.19/3.36 % --aig_mode false
% 3.19/3.36
% 3.19/3.36 % ------ Instantiation Options
% 3.19/3.36
% 3.19/3.36 % --instantiation_flag true
% 3.19/3.36 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.19/3.36 % --inst_solver_per_active 750
% 3.19/3.36 % --inst_solver_calls_frac 0.5
% 3.19/3.36 % --inst_passive_queue_type priority_queues
% 3.19/3.36 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.19/3.36 % --inst_passive_queues_freq [25;2]
% 3.19/3.36 % --inst_dismatching true
% 3.19/3.36 % --inst_eager_unprocessed_to_passive true
% 3.19/3.36 % --inst_prop_sim_given true
% 3.19/3.36 % --inst_prop_sim_new false
% 3.19/3.36 % --inst_orphan_elimination true
% 3.19/3.36 % --inst_learning_loop_flag true
% 3.19/3.36 % --inst_learning_start 3000
% 3.19/3.36 % --inst_learning_factor 2
% 3.19/3.36 % --inst_start_prop_sim_after_learn 3
% 3.19/3.36 % --inst_sel_renew solver
% 3.19/3.36 % --inst_lit_activity_flag true
% 3.19/3.36 % --inst_out_proof true
% 3.19/3.36
% 3.19/3.36 % ------ Resolution Options
% 3.19/3.36
% 3.19/3.36 % --resolution_flag true
% 3.19/3.36 % --res_lit_sel kbo_max
% 3.19/3.36 % --res_to_prop_solver none
% 3.19/3.36 % --res_prop_simpl_new false
% 3.19/3.36 % --res_prop_simpl_given false
% 3.19/3.36 % --res_passive_queue_type priority_queues
% 3.19/3.36 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.19/3.36 % --res_passive_queues_freq [15;5]
% 3.19/3.36 % --res_forward_subs full
% 3.19/3.36 % --res_backward_subs full
% 3.19/3.36 % --res_forward_subs_resolution true
% 3.19/3.36 % --res_backward_subs_resolution true
% 3.19/3.36 % --res_orphan_elimination false
% 3.19/3.36 % --res_time_limit 1000.
% 3.19/3.36 % --res_out_proof true
% 3.19/3.36 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_92812e.s
% 3.19/3.36 % --modulo true
% 3.19/3.36
% 3.19/3.36 % ------ Combination Options
% 3.19/3.36
% 3.19/3.36 % --comb_res_mult 1000
% 3.19/3.36 % --comb_inst_mult 300
% 3.19/3.36 % ------
% 3.19/3.36
% 3.19/3.36 % ------ Parsing...% successful
% 3.19/3.36
% 3.19/3.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 3.19/3.36
% 3.19/3.36 % ------ Proving...
% 3.19/3.36 % ------ Problem Properties
% 3.19/3.36
% 3.19/3.36 %
% 3.19/3.36 % EPR false
% 3.19/3.36 % Horn false
% 3.19/3.36 % Has equality true
% 3.19/3.36
% 3.19/3.36 % % ------ Input Options Time Limit: Unbounded
% 3.19/3.36
% 3.19/3.36
% 3.19/3.36 Compiling...
% 3.19/3.36 Loading plugin: done.
% 3.19/3.36 Compiling...
% 3.19/3.36 Loading plugin: done.
% 3.19/3.36 Compiling...
% 3.19/3.36 Loading plugin: done.
% 3.19/3.36 Compiling...
% 3.19/3.36 Loading plugin: done.
% 3.19/3.36 Compiling...
% 3.19/3.36 Loading plugin: done.
% 3.19/3.36 Compiling...
% 3.19/3.36 Loading plugin: done.
% 3.19/3.36 % % ------ Current options:
% 3.19/3.36
% 3.19/3.36 % ------ Input Options
% 3.19/3.36
% 3.19/3.36 % --out_options all
% 3.19/3.36 % --tptp_safe_out true
% 3.19/3.36 % --problem_path ""
% 3.19/3.36 % --include_path ""
% 3.19/3.36 % --clausifier .//eprover
% 3.19/3.36 % --clausifier_options --tstp-format
% 3.19/3.36 % --stdin false
% 3.19/3.36 % --dbg_backtrace false
% 3.19/3.36 % --dbg_dump_prop_clauses false
% 3.19/3.36 % --dbg_dump_prop_clauses_file -
% 3.19/3.36 % --dbg_out_stat false
% 3.19/3.36
% 3.19/3.36 % ------ General Options
% 3.19/3.36
% 3.19/3.36 % --fof false
% 3.19/3.36 % --time_out_real 150.
% 3.19/3.36 % --time_out_prep_mult 0.2
% 3.19/3.36 % --time_out_virtual -1.
% 3.19/3.36 % --schedule none
% 3.19/3.36 % --ground_splitting input
% 3.19/3.36 % --splitting_nvd 16
% 3.19/3.36 % --non_eq_to_eq false
% 3.19/3.36 % --prep_gs_sim true
% 3.19/3.36 % --prep_unflatten false
% 3.19/3.36 % --prep_res_sim true
% 3.19/3.36 % --prep_upred true
% 3.19/3.36 % --res_sim_input true
% 3.19/3.36 % --clause_weak_htbl true
% 3.19/3.36 % --gc_record_bc_elim false
% 3.19/3.36 % --symbol_type_check false
% 3.19/3.36 % --clausify_out false
% 3.19/3.36 % --large_theory_mode false
% 3.19/3.36 % --prep_sem_filter none
% 3.19/3.36 % --prep_sem_filter_out false
% 3.19/3.36 % --preprocessed_out false
% 3.19/3.36 % --sub_typing false
% 3.19/3.36 % --brand_transform false
% 3.19/3.36 % --pure_diseq_elim true
% 3.19/3.36 % --min_unsat_core false
% 3.19/3.36 % --pred_elim true
% 3.19/3.36 % --add_important_lit false
% 3.19/3.36 % --soft_assumptions false
% 3.19/3.36 % --reset_solvers false
% 3.19/3.36 % --bc_imp_inh []
% 3.19/3.36 % --conj_cone_tolerance 1.5
% 3.19/3.36 % --prolific_symb_bound 500
% 3.19/3.36 % --lt_threshold 2000
% 3.19/3.36
% 3.19/3.36 % ------ SAT Options
% 3.19/3.36
% 3.19/3.36 % --sat_mode false
% 3.19/3.36 % --sat_fm_restart_options ""
% 3.19/3.36 % --sat_gr_def false
% 3.19/3.36 % --sat_epr_types true
% 3.19/3.36 % --sat_non_cyclic_types false
% 3.19/3.36 % --sat_finite_models false
% 3.19/3.36 % --sat_fm_lemmas false
% 3.19/3.36 % --sat_fm_prep false
% 3.19/3.36 % --sat_fm_uc_incr true
% 3.19/3.36 % --sat_out_model small
% 3.19/3.36 % --sat_out_clauses false
% 3.19/3.36
% 3.19/3.36 % ------ QBF Options
% 3.19/3.36
% 3.19/3.36 % --qbf_mode false
% 3.19/3.36 % --qbf_elim_univ true
% 3.19/3.36 % --qbf_sk_in true
% 3.19/3.36 % --qbf_pred_elim true
% 3.19/3.36 % --qbf_split 32
% 3.19/3.36
% 3.19/3.36 % ------ BMC1 Options
% 3.19/3.36
% 3.19/3.36 % --bmc1_incremental false
% 3.19/3.36 % --bmc1_axioms reachable_all
% 3.19/3.36 % --bmc1_min_bound 0
% 3.19/3.36 % --bmc1_max_bound -1
% 3.19/3.36 % --bmc1_max_bound_default -1
% 3.19/3.36 % --bmc1_symbol_reachability true
% 3.19/3.36 % --bmc1_property_lemmas false
% 3.19/3.36 % --bmc1_k_induction false
% 3.19/3.36 % --bmc1_non_equiv_states false
% 3.19/3.36 % --bmc1_deadlock false
% 3.19/3.36 % --bmc1_ucm false
% 3.19/3.36 % --bmc1_add_unsat_core none
% 3.19/3.36 % --bmc1_unsat_core_children false
% 3.19/3.36 % --bmc1_unsat_core_extrapolate_axioms false
% 3.19/3.36 % --bmc1_out_stat full
% 3.19/3.36 % --bmc1_ground_init false
% 3.19/3.36 % --bmc1_pre_inst_next_state false
% 3.19/3.36 % --bmc1_pre_inst_state false
% 3.19/3.36 % --bmc1_pre_inst_reach_state false
% 3.19/3.36 % --bmc1_out_unsat_core false
% 3.19/3.36 % --bmc1_aig_witness_out false
% 3.19/3.36 % --bmc1_verbose false
% 3.19/3.36 % --bmc1_dump_clauses_tptp false
% 3.19/3.36 % --bmc1_dump_unsat_core_tptp false
% 3.19/3.36 % --bmc1_dump_file -
% 3.19/3.36 % --bmc1_ucm_expand_uc_limit 128
% 3.19/3.36 % --bmc1_ucm_n_expand_iterations 6
% 3.19/3.36 % --bmc1_ucm_extend_mode 1
% 3.19/3.36 % --bmc1_ucm_init_mode 2
% 3.19/3.36 % --bmc1_ucm_cone_mode none
% 3.19/3.36 % --bmc1_ucm_reduced_relation_type 0
% 3.19/3.36 % --bmc1_ucm_relax_model 4
% 3.19/3.36 % --bmc1_ucm_full_tr_after_sat true
% 3.19/3.36 % --bmc1_ucm_expand_neg_assumptions false
% 3.19/3.36 % --bmc1_ucm_layered_model none
% 3.19/3.36 % --bmc1_ucm_max_lemma_size 10
% 3.19/3.36
% 3.19/3.36 % ------ AIG Options
% 3.19/3.36
% 3.19/3.36 % --aig_mode false
% 3.19/3.36
% 3.19/3.36 % ------ Instantiation Options
% 3.19/3.36
% 3.19/3.36 % --instantiation_flag true
% 3.19/3.36 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.19/3.36 % --inst_solver_per_active 750
% 3.19/3.36 % --inst_solver_calls_frac 0.5
% 3.19/3.36 % --inst_passive_queue_type priority_queues
% 3.19/3.36 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.19/3.36 % --inst_passive_queues_freq [25;2]
% 3.19/3.36 % --inst_dismatching true
% 3.19/3.36 % --inst_eager_unprocessed_to_passive true
% 3.19/3.36 % --inst_prop_sim_given true
% 3.19/3.36 % --inst_prop_sim_new false
% 3.19/3.36 % --inst_orphan_elimination true
% 3.19/3.36 % --inst_learning_loop_flag true
% 3.19/3.36 % --inst_learning_start 3000
% 3.19/3.36 % --inst_learning_factor 2
% 3.19/3.36 % --inst_start_prop_sim_after_learn 3
% 3.19/3.36 % --inst_sel_renew solver
% 3.19/3.36 % --inst_lit_activity_flag true
% 3.19/3.36 % --inst_out_proof true
% 3.19/3.36
% 3.19/3.36 % ------ Resolution Options
% 3.19/3.36
% 3.19/3.36 % --resolution_flag true
% 3.19/3.36 % --res_lit_sel kbo_max
% 3.19/3.36 % --res_to_prop_solver none
% 3.19/3.36 % --res_prop_simpl_new false
% 3.19/3.36 % --res_prop_simpl_given false
% 3.19/3.36 % --res_passive_queue_type priority_queues
% 3.19/3.36 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.19/3.36 % --res_passive_queues_freq [15;5]
% 3.19/3.36 % --res_forward_subs full
% 3.19/3.36 % --res_backward_subs full
% 3.19/3.36 % --res_forward_subs_resolution true
% 3.19/3.36 % --res_backward_subs_resolution true
% 3.19/3.36 % --res_orphan_elimination false
% 3.19/3.36 % --res_time_limit 1000.
% 3.19/3.36 % --res_out_proof true
% 3.19/3.36 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_92812e.s
% 3.19/3.36 % --modulo true
% 3.19/3.36
% 3.19/3.36 % ------ Combination Options
% 3.19/3.36
% 3.19/3.36 % --comb_res_mult 1000
% 3.19/3.36 % --comb_inst_mult 300
% 3.19/3.36 % ------
% 3.19/3.36
% 3.19/3.36
% 3.19/3.36
% 3.19/3.36 % ------ Proving...
% 3.19/3.36 % warning: shown sat in sat incomplete mode
% 3.19/3.36 %
% 3.19/3.36
% 3.19/3.36
% 3.19/3.36
% 3.19/3.36
% 3.19/3.36 cnf(c_3864,plain,
% 3.19/3.36 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 3.19/3.36 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 3.19/3.36 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 3.19/3.36 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 3.19/3.36 | ~ class_Ring__and__Field_Odvd(X4) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5157_4) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16371,plain,
% 3.19/3.36 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 3.19/3.36 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 3.19/3.36 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 3.19/3.36 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 3.19/3.36 | ~ class_Ring__and__Field_Odvd(X4) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3864]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16372,plain,
% 3.19/3.36 ( ~ class_Ring__and__Field_Odvd(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 3.19/3.36 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 3.19/3.36 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 3.19/3.36 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16371]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3851,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5161_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16345,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3851]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16346,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16345]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3844,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5162_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16331,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3844]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16332,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16331]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3837,plain,
% 3.19/3.36 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5163_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16317,plain,
% 3.19/3.36 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3837]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16318,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16317]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3830,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5164_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16303,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3830]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16304,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16303]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3819,plain,
% 3.19/3.36 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5166_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16281,plain,
% 3.19/3.36 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3819]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16282,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16281]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3812,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5167_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16267,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3812]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16268,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16267]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3805,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5168_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16253,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3805]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16254,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16253]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3798,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5169_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16239,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3798]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16240,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16239]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3791,plain,
% 3.19/3.36 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5170_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16225,plain,
% 3.19/3.36 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3791]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16226,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.19/3.36 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16225]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3784,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5171_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16211,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3784]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16212,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16211]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3777,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5172_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16197,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3777]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16198,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16197]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3770,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5173_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16183,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.36 | ~ class_Int_Onumber(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3770]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16184,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16183]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3755,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5176_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16153,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3755]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16154,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16153]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3748,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5177_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16139,plain,
% 3.19/3.36 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3748]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16140,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16139]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3741,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5178_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16125,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X0,X2)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.36 | ~ class_Int_Onumber(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3741]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16126,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16125]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3734,plain,
% 3.19/3.36 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5179_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16111,plain,
% 3.19/3.36 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.36 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.36 | ~ class_Int_Onumber(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3734]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16112,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.36 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16111]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3697,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5189_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16037,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3697]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16038,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16037]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3690,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5190_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16023,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3690]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16024,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16023]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3683,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5191_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16009,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3683]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_16010,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_16009]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3676,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5192_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_15995,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3676]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_15996,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_15995]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3669,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5193_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_15981,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3669]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_15982,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_15981]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3662,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5194_6) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_15967,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.36 inference(copy,[status(esa)],[c_3662]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_15968,plain,
% 3.19/3.36 ( ~ class_Int_Onumber(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.36 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.36 inference(rewriting,[status(thm)],[c_15967]) ).
% 3.19/3.36
% 3.19/3.36 cnf(c_3655,plain,
% 3.19/3.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.36 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5195_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15953,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3655]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15954,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15953]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3648,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5196_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15939,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3648]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15940,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15939]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3642,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5197_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15927,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3642]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15928,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15927]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3636,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5198_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15915,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3636]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15916,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.37 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15915]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3630,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5199_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15903,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3630]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15904,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15903]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3624,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5200_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15891,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3624]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15892,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15891]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3618,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5201_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15879,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3618]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15880,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15879]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3612,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5202_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15867,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3612]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15868,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15867]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3606,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5203_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15855,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3606]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15856,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15855]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3600,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5204_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15843,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3600]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15844,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15843]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3593,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5205_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15829,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3593]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15830,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15829]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3586,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5206_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15815,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3586]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15816,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15815]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3579,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5207_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15801,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3579]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15802,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15801]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3572,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5208_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15787,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3572]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15788,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15787]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3565,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5209_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15773,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3565]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15774,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15773]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3558,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5210_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15759,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3558]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15760,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15759]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3551,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5211_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15745,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3551]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15746,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15745]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3544,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5212_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15731,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3544]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15732,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15731]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3535,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5214_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15713,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3535]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15714,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15713]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3528,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X0,X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5215_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15699,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X0,X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3528]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15700,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15699]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3521,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1),X3,X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5216_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15685,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1),X3,X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3521]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15686,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15685]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3514,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5217_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15671,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3514]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15672,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15671]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3507,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X0,X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5218_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15657,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X0,X1),X1)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3507]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15658,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15657]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3500,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5219_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15643,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3500]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15644,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15643]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3493,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1),X3,X1)
% 3.19/3.37 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5220_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15629,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1),X3,X1)
% 3.19/3.37 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.37 | ~ class_Int_Onumber(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3493]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15630,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15629]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3486,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5221_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15615,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3486]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15616,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15615]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3474,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.37 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5224_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15591,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.37 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3474]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15592,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(X1,X2,X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15591]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3469,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5225_4) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15581,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3469]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15582,plain,
% 3.19/3.37 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15581]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3455,plain,
% 3.19/3.37 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 3.19/3.37 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.37 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 3.19/3.37 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5228_3) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15553,plain,
% 3.19/3.37 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 3.19/3.37 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.37 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 3.19/3.37 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3455]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15554,plain,
% 3.19/3.37 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.37 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.37 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 3.19/3.37 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_Divides_Odiv__class_Odiv(X4,X3,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15553]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3449,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5229_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15541,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3449]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15542,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15541]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3443,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5230_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15529,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3443]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15530,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15529]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3437,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5231_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15517,plain,
% 3.19/3.37 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3437]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15518,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15517]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3431,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5232_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15505,plain,
% 3.19/3.37 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3431]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15506,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15505]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3425,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5233_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15493,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3425]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15494,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15493]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3419,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5234_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15481,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3419]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15482,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15481]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3413,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5235_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15469,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.37 | ~ class_Int_Onumber(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3413]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15470,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15469]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3407,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5236_5) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15457,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 3.19/3.37 | ~ class_Int_Onumber(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3407]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15458,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15457]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3400,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5237_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15443,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3400]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15444,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15443]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3393,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5238_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15429,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3393]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15430,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.37 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.37 inference(rewriting,[status(thm)],[c_15429]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_3386,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5239_6) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15415,plain,
% 3.19/3.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.37 inference(copy,[status(esa)],[c_3386]) ).
% 3.19/3.37
% 3.19/3.37 cnf(c_15416,plain,
% 3.19/3.37 ( ~ class_Int_Onumber(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.37 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.37 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15415]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3379,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5240_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15401,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3379]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15402,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15401]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3370,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5242_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15383,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3370]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15384,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15383]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3363,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5243_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15369,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3363]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15370,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15369]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3356,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5244_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15355,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3356]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15356,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15355]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3349,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5245_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15341,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3349]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15342,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15341]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3345,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5246_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15333,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3345]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15334,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15333]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3330,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5250_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15303,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3330]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15304,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15303]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3324,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5251_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15291,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3324]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15292,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15291]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3318,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5252_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15279,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3318]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15280,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15279]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3312,plain,
% 3.19/3.38 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5253_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15267,plain,
% 3.19/3.38 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X2,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3312]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15268,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15267]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3306,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5254_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15255,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3306]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15256,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15255]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3300,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5255_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15243,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3300]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15244,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15243]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3296,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(X3,X4,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5256_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15235,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(X3,X4,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3296]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15236,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15235]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3294,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.19/3.38 | ~ c_lessequals(X4,X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5256_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15231,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.19/3.38 | ~ c_lessequals(X4,X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3294]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15232,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15231]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3291,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(X3,X4,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5257_2) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15225,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(X3,X4,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3291]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15226,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15225]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3288,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5257_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15219,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3288]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15220,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15219]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3286,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5258_1) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15215,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3286]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15216,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15215]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3282,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5258_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15207,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3282]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15208,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15207]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3280,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5259_1) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15203,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3280]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15204,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X0)
% 3.19/3.38 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15203]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3276,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5259_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15195,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3276]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15196,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15195]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3274,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X4,X2,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5260_1) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15191,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X4,X2,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3274]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15192,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X0)
% 3.19/3.38 | ~ c_lessequals(X3,X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15191]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3270,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5260_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15183,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.38 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3270]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15184,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,X1,X0)
% 3.19/3.38 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15183]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3264,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.19/3.38 | ~ c_lessequals(X4,X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5261_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15171,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.19/3.38 | ~ c_lessequals(X4,X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3264]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15172,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15171]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3262,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5262_1) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15167,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3262]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15168,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15167]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3260,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5262_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15163,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3260]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15164,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15163]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3256,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5263_1) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15155,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3256]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15156,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15155]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3242,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5266_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15127,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3242]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15128,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15127]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3236,plain,
% 3.19/3.38 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5267_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15115,plain,
% 3.19/3.38 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Int_Onumber(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3236]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15116,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15115]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3230,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5268_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15103,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3230]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15104,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15103]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3224,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 3.19/3.38 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5269_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15091,plain,
% 3.19/3.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X3,X1)
% 3.19/3.38 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.38 | ~ class_Int_Onumber(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3224]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15092,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X0),X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15091]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3216,plain,
% 3.19/3.38 ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.19/3.38 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5271_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15075,plain,
% 3.19/3.38 ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.19/3.38 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3216]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15076,plain,
% 3.19/3.38 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.38 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_Divides_Odiv__class_Odiv(X3,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X0),X1,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15075]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3201,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5275_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15045,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3201]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15046,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15045]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3194,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5276_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15031,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3194]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15032,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15031]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3187,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5277_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15017,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3187]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15018,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15017]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3180,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5278_6) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15003,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.38 | ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3180]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_15004,plain,
% 3.19/3.38 ( ~ class_Int_Onumber(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_15003]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3174,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5279_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14991,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3174]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14992,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14991]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3168,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5280_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14979,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3168]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14980,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14979]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3162,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5281_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14967,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3162]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14968,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14967]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3156,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5282_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14955,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3156]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14956,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14955]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3153,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5283_2) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14949,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3153]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14950,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14949]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3150,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5283_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14943,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3150]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14944,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14943]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3144,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5284_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14931,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3144]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14932,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14931]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3138,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5285_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14919,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3138]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14920,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14919]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3132,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5286_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14907,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3132]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14908,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14907]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3126,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5287_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14895,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3126]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14896,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14895]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3123,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5288_2) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14889,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3123]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14890,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14889]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3120,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5288_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14883,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3120]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14884,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14883]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3114,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5289_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14871,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3114]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14872,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14871]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3108,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5290_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14859,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3108]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14860,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14859]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3102,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5291_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14847,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3102]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14848,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14847]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3096,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5292_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14835,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3096]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14836,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.38 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14835]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3090,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5293_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14823,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.38 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3090]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14824,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14823]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3084,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5294_5) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14811,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3084]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14812,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.38 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14811]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3073,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5297_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14789,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3073]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14790,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14789]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3069,plain,
% 3.19/3.38 ( c_lessequals(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5298_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14781,plain,
% 3.19/3.38 ( c_lessequals(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3069]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14782,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.38 | c_lessequals(X3,X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14781]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3065,plain,
% 3.19/3.38 ( c_lessequals(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5299_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14773,plain,
% 3.19/3.38 ( c_lessequals(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3065]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14774,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.38 | c_lessequals(X2,X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14773]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3053,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5302_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14749,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3053]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14750,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14749]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3049,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5303_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14741,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3049]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14742,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14741]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3045,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5304_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14733,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3045]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14734,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14733]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3041,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5305_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14725,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3041]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14726,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14725]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3037,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5306_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14717,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3037]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14718,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14717]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3029,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5308_3) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14701,plain,
% 3.19/3.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 inference(copy,[status(esa)],[c_3029]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_14702,plain,
% 3.19/3.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.38 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 3.19/3.38 inference(rewriting,[status(thm)],[c_14701]) ).
% 3.19/3.38
% 3.19/3.38 cnf(c_3021,plain,
% 3.19/3.38 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.19/3.38 | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.38 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5310_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14685,plain,
% 3.19/3.39 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.19/3.39 | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_3021]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14686,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.39 | c_lessequals(X2,X3,tc_nat) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14685]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_3000,plain,
% 3.19/3.39 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)
% 3.19/3.39 | ~ class_Int_Onumber(X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5316_2) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14643,plain,
% 3.19/3.39 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)
% 3.19/3.39 | ~ class_Int_Onumber(X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_3000]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14644,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.39 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14643]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2997,plain,
% 3.19/3.39 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.39 | ~ class_Int_Onumber(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5317_2) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14637,plain,
% 3.19/3.39 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.39 | ~ class_Int_Onumber(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2997]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14638,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.39 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14637]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2993,plain,
% 3.19/3.39 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5318_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14629,plain,
% 3.19/3.39 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2993]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14630,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 3.19/3.39 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14629]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2989,plain,
% 3.19/3.39 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5319_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14621,plain,
% 3.19/3.39 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2989]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14622,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 3.19/3.39 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14621]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2972,plain,
% 3.19/3.39 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X1,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5324_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14587,plain,
% 3.19/3.39 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X1,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2972]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14588,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X2,tc_nat) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14587]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2967,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5325_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14577,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2967]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14578,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14577]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2963,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5326_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14569,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2963]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14570,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14569]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2959,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5327_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14561,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2959]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14562,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14561]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2956,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5328_2) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14555,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2956]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14556,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.39 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14555]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2931,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5336_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14505,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2931]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14506,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14505]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2923,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5338_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14489,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2923]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14490,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14489]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2907,plain,
% 3.19/3.39 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5344_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14457,plain,
% 3.19/3.39 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2907]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14458,plain,
% 3.19/3.39 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14457]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2906,plain,
% 3.19/3.39 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5344_2) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14455,plain,
% 3.19/3.39 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2906]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14456,plain,
% 3.19/3.39 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14455]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2894,plain,
% 3.19/3.39 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5346_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14431,plain,
% 3.19/3.39 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2894]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14432,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14431]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2884,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5348_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14411,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2884]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14412,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14411]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2874,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5350_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14391,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2874]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14392,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14391]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2864,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5352_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14371,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2864]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14372,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14371]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2852,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5354_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14347,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2852]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14348,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14347]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2845,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5355_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14333,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2845]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14334,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14333]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2838,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5356_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14319,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2838]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14320,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14319]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2831,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5357_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14305,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2831]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14306,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14305]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2824,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5359_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14291,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2824]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14292,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14291]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2820,plain,
% 3.19/3.39 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5360_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14283,plain,
% 3.19/3.39 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2820]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14284,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14283]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2816,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5361_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14275,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2816]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14276,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14275]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2812,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5362_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14267,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2812]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14268,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14267]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2801,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.39 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 3.19/3.39 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5368_0) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14245,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.39 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 3.19/3.39 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2801]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14246,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.19/3.39 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X4,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X4,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14245]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2787,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5370_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14217,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2787]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14218,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14217]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2780,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5371_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14203,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2780]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14204,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14203]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2773,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5372_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14189,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2773]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14190,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14189]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2766,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5373_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14175,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2766]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14176,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14175]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2729,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5384_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14101,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2729]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14102,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14101]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2722,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5385_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14087,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2722]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14088,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14087]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2715,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5386_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14073,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2715]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14074,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14073]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2708,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5387_6) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14059,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.19/3.39 | ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2708]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14060,plain,
% 3.19/3.39 ( ~ class_Int_Onumber(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14059]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2699,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5390_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14041,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2699]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14042,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14041]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2694,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5391_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14031,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2694]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14032,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14031]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2690,plain,
% 3.19/3.39 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5392_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14023,plain,
% 3.19/3.39 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2690]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14024,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.39 | c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X3,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14023]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2684,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | X1 = X3
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5395_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14011,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | X1 = X3
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2684]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14012,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | c_Power_Opower__class_Opower(X3,X1,X0) != c_Power_Opower__class_Opower(X2,X1,X0)
% 3.19/3.39 | X3 = X2 ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14011]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2680,plain,
% 3.19/3.39 ( X0 = X1
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 3.19/3.39 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5395_5) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14003,plain,
% 3.19/3.39 ( X0 = X1
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 3.19/3.39 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2680]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_14004,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | c_Power_Opower__class_Opower(X2,X1,X0) != c_Power_Opower__class_Opower(X3,X1,X0)
% 3.19/3.39 | X2 = X3 ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_14003]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2660,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5400_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13963,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2660]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13964,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13963]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2644,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5404_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13931,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2644]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13932,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13931]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2632,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5407_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13907,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2632]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13908,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13907]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2628,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5408_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13899,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2628]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13900,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13899]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2620,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5410_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13883,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2620]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13884,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13883]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2600,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5415_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13843,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2600]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13844,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13843]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2596,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5416_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13835,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X3,X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2596]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13836,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13835]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2594,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5417_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13831,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2594]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13832,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13831]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2591,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5417_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13825,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2591]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13826,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13825]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2589,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5418_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13821,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2589]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13822,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13821]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2586,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5418_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13815,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2586]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13816,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13815]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2570,plain,
% 3.19/3.39 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5422_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13783,plain,
% 3.19/3.39 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.39 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2570]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13784,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.39 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13783]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2564,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5423_5) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13771,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2564]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13772,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13771]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2558,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5424_5) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13759,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2558]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13760,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13759]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2556,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5425_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13755,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2556]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13756,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13755]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2552,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5425_5) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13747,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2552]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13748,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13747]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2550,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5426_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13743,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2550]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13744,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13743]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2546,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5426_5) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13735,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2546]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13736,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13735]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2544,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5427_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13731,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2544]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13732,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.39 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 3.19/3.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13731]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2538,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.39 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5428_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13719,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.39 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.39 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2538]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13720,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.39 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13719]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2532,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5430_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13707,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2532]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13708,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13707]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2528,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.19/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X4,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5431_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13699,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.19/3.39 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X3,X4,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2528]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13700,plain,
% 3.19/3.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.19/3.39 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,X4,X0)
% 3.19/3.39 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13699]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2519,plain,
% 3.19/3.39 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5433_2) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13681,plain,
% 3.19/3.39 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2519]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13682,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.39 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13681]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2444,plain,
% 3.19/3.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 3.19/3.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5466_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13531,plain,
% 3.19/3.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 3.19/3.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2444]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13532,plain,
% 3.19/3.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 3.19/3.39 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.39 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13531]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2441,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5467_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13525,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2441]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13526,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13525]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2439,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5467_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13521,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2439]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13522,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13521]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2437,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5468_1) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13517,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2437]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13518,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13517]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2435,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5468_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13513,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2435]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13514,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13513]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2431,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5469_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13505,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2431]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13506,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13505]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2427,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5470_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13497,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2427]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13498,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13497]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2419,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5472_3) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13481,plain,
% 3.19/3.39 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.39 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2419]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13482,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13481]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2408,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5475_4) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13459,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2408]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13460,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13459]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2407,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5476_0) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13457,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.39 inference(copy,[status(esa)],[c_2407]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_13458,plain,
% 3.19/3.39 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.39 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.39 inference(rewriting,[status(thm)],[c_13457]) ).
% 3.19/3.39
% 3.19/3.39 cnf(c_2403,plain,
% 3.19/3.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5476_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13449,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2403]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13450,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13449]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2402,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5477_0) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13447,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2402]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13448,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13447]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2398,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5477_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13439,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2398]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13440,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13439]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2393,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5478_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13429,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2393]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13430,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13429]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2388,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5479_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13419,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2388]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13420,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13419]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2383,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5480_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13409,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2383]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13410,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13409]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2378,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5481_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13399,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2378]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13400,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13399]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2373,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5482_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13389,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2373]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13390,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13389]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2368,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5483_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13379,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2368]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13380,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13379]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2367,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5484_0) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13377,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2367]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13378,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13377]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2363,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5484_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13369,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2363]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13370,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13369]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2362,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5485_0) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13367,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2362]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13368,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13367]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2358,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5485_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13359,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2358]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13360,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13359]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2353,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5486_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13349,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2353]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13350,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13349]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2348,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5487_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13339,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2348]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13340,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13339]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2343,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5488_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13329,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2343]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13330,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13329]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2338,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5489_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13319,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2338]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13320,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13319]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2333,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5490_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13309,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2333]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13310,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13309]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2327,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5491_5) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13297,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2327]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13298,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13297]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2321,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5492_5) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13285,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2321]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13286,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13285]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2318,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5493_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13279,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2318]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13280,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13279]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2315,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5493_5) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13273,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2315]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13274,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13273]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2312,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5494_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13267,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2312]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13268,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13267]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2309,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5494_5) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13261,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2309]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13262,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13261]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2289,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5499_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13221,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2289]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13222,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13221]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2288,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5500_0) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13219,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2288]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13220,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13219]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2277,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5502_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13197,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2277]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13198,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13197]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2275,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.40 | X1 = X3
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5503_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13193,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.40 | X1 = X3
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2275]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13194,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 3.19/3.40 | X2 = X1 ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13193]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2272,plain,
% 3.19/3.40 ( X0 = X1
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.40 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5503_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13187,plain,
% 3.19/3.40 ( X0 = X1
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.40 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2272]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13188,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 3.19/3.40 | X1 = X2 ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13187]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2268,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5504_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13179,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2268]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13180,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13179]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2266,plain,
% 3.19/3.40 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5505_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13175,plain,
% 3.19/3.40 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2266]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13176,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13175]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2265,plain,
% 3.19/3.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5505_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13173,plain,
% 3.19/3.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2265]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13174,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13173]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2263,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5506_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13169,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2263]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13170,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13169]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2262,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5506_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13167,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2262]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13168,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13167]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2246,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5510_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13135,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2246]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13136,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13135]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2243,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5510_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13129,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2243]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13130,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13129]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2241,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5511_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13125,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2241]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13126,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13125]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2238,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5511_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13119,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2238]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13120,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13119]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2233,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5512_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13109,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2233]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13110,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13109]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2228,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5513_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13099,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2228]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13100,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13099]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2212,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5518_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13067,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2212]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13068,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13067]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2206,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5519_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13055,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2206]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13056,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13055]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2200,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5521_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13043,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2200]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13044,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13043]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2196,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5522_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13035,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2196]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13036,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13035]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2192,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5523_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13027,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2192]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13028,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13027]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2188,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5524_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13019,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2188]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13020,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_13019]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2178,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5526_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12999,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2178]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_13000,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12999]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2158,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5531_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12959,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2158]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12960,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12959]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2150,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5533_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12943,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2150]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12944,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12943]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2140,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5536_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12923,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2140]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12924,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12923]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2136,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5537_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12915,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2136]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12916,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12915]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2126,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5539_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12895,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2126]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12896,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12895]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2124,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5540_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12891,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2124]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12892,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12891]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2120,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5541_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12883,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2120]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12884,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12883]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2116,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5542_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12875,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2116]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12876,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12875]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2112,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5543_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12867,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2112]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12868,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12867]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2108,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5544_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12859,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2108]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12860,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12859]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2100,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5546_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12843,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2100]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12844,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12843]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2096,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5547_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12835,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2096]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12836,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12835]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2086,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5549_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12815,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2086]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12816,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12815]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2072,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5554_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12787,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2072]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12788,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12787]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2071,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5554_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12785,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2071]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12786,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12785]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2069,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5555_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12781,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2069]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12782,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12781]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2068,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5555_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12779,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2068]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12780,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12779]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2031,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5567_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12705,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2031]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12706,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 3.19/3.40 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12705]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2020,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5570_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12683,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2020]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12684,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12683]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2016,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5571_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12675,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2016]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12676,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12675]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2012,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ 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)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5572_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12667,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ 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)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2012]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12668,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12667]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2008,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5573_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12659,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2008]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12660,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12659]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_2003,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5574_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12649,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_2003]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12650,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12649]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1998,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_lessequals(X0,X2,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5575_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12639,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_lessequals(X0,X2,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1998]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12640,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12639]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1993,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_lessequals(X0,X2,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5576_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12629,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_lessequals(X0,X2,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1993]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12630,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12629]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1988,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.40 | ~ c_lessequals(X0,X1,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5577_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12619,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.19/3.40 | ~ c_lessequals(X0,X1,X3)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.19/3.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1988]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12620,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 3.19/3.40 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12619]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1985,plain,
% 3.19/3.40 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5578_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12613,plain,
% 3.19/3.40 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1985]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12614,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.40 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12613]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1978,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5580_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12599,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1978]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12600,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12599]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1969,plain,
% 3.19/3.40 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5582_4) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12581,plain,
% 3.19/3.40 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1969]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12582,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.40 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12581]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1957,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5585_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12557,plain,
% 3.19/3.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1957]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12558,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 3.19/3.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12557]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1953,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5586_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12549,plain,
% 3.19/3.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1953]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12550,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.40 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12549]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1941,plain,
% 3.19/3.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5591_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12525,plain,
% 3.19/3.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1941]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12526,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 3.19/3.40 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12525]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1937,plain,
% 3.19/3.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5592_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12517,plain,
% 3.19/3.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1937]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12518,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.40 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 3.19/3.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12517]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1931,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.40 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5595_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12505,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.40 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1931]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12506,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.19/3.40 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12505]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1927,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.40 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5596_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12497,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.40 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1927]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12498,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.40 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12497]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1915,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5600_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12473,plain,
% 3.19/3.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1915]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12474,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12473]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1907,plain,
% 3.19/3.40 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5602_2) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12457,plain,
% 3.19/3.40 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1907]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12458,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.40 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.40 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12457]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1881,plain,
% 3.19/3.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5611_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12405,plain,
% 3.19/3.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1881]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12406,plain,
% 3.19/3.40 ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12405]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1879,plain,
% 3.19/3.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5612_1) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12401,plain,
% 3.19/3.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.19/3.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1879]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12402,plain,
% 3.19/3.40 ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.40 | c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12401]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1803,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5646_3) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12249,plain,
% 3.19/3.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.40 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1803]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12250,plain,
% 3.19/3.40 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12249]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1798,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5648_0) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12239,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.40 inference(copy,[status(esa)],[c_1798]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_12240,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.40 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.40 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.19/3.40 inference(rewriting,[status(thm)],[c_12239]) ).
% 3.19/3.40
% 3.19/3.40 cnf(c_1794,plain,
% 3.19/3.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5649_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12231,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1794]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12232,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12231]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1790,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.41 | ~ c_lessequals(X4,X3,X0)
% 3.19/3.41 | c_lessequals(X2,X1,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5650_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12223,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.41 | ~ c_lessequals(X4,X3,X0)
% 3.19/3.41 | c_lessequals(X2,X1,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1790]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12224,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | c_lessequals(X3,X4,X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12223]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1786,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.41 | ~ c_lessequals(X2,X1,X0)
% 3.19/3.41 | c_lessequals(X4,X3,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5651_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12215,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.19/3.41 | ~ c_lessequals(X2,X1,X0)
% 3.19/3.41 | c_lessequals(X4,X3,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1786]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12216,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | c_lessequals(X3,X4,X0)
% 3.19/3.41 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12215]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1769,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5656_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12181,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1769]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12182,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.41 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12181]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1765,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5658_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12173,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1765]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12174,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12173]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1745,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.41 | ~ c_lessequals(X0,X2,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5665_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12133,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.41 | ~ c_lessequals(X0,X2,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1745]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12134,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12133]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1741,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5666_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12125,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1741]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12126,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12125]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1733,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5670_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12109,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1733]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12110,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12109]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1728,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5671_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12099,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1728]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12100,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12099]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1725,plain,
% 3.19/3.41 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5671_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12093,plain,
% 3.19/3.41 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1725]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12094,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.41 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12093]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1723,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5672_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12089,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1723]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12090,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12089]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1720,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5672_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12083,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1720]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12084,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12083]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1718,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5673_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12079,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1718]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12080,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12079]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1715,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5673_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12073,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1715]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12074,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12073]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1699,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5677_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12041,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1699]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12042,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12041]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1684,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5681_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12011,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1684]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12012,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12011]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1679,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5682_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12001,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1679]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_12002,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_12001]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1672,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5684_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11987,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1672]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11988,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11987]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1668,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5685_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11979,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1668]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11980,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11979]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1664,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5686_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11971,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1664]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11972,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11971]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1660,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5687_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11963,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1660]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11964,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11963]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1651,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.41 | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5689_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11945,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.41 | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1651]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11946,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.41 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.41 | c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11945]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1620,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) = X2
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5697_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11883,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) = X2
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1620]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11884,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11883]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1610,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) = X2
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5699_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11863,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) = X2
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1610]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11864,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11863]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1597,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X2,X1) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5702_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11837,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),X2,X1) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1597]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11838,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11837]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1589,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5704_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11821,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1589]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11822,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11821]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1585,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.19/3.41 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5705_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11813,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.19/3.41 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1585]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11814,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 3.19/3.41 | X2 = X3 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11813]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1580,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5706_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11803,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1580]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11804,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11803]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1575,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5707_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11793,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1575]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11794,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11793]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1534,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5721_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11711,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1534]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11712,plain,
% 3.19/3.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 3.19/3.41 | X1 = X2 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11711]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1512,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1),X0,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5727_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11667,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1),X0,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1512]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11668,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11667]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1501,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5731_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11645,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1501]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11646,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11645]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1498,plain,
% 3.19/3.41 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5732_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11639,plain,
% 3.19/3.41 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1498]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11640,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11639]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1490,plain,
% 3.19/3.41 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5735_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11623,plain,
% 3.19/3.41 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1490]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11624,plain,
% 3.19/3.41 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.41 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11623]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1483,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.41 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5736_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11609,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.41 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1483]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11610,plain,
% 3.19/3.41 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.41 | ~ c_lessequals(X3,X2,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11609]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1478,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5738_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11599,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1478]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11600,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.41 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11599]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1471,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.41 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5739_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11585,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.41 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1471]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11586,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11585]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1419,plain,
% 3.19/3.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5759_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11481,plain,
% 3.19/3.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1419]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11482,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11481]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1400,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | X2 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X0,X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X2,X0,X1) != c_Int_Onumber__class_Onumber__of(X3,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5765_5) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11443,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | X2 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X0,X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X2,X0,X1) != c_Int_Onumber__class_Onumber__of(X3,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1400]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11444,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X2,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11443]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1394,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1) = X3
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X0,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5766_5) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11431,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X0,X1) = X3
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X0,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1394]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11432,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0) = X3
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11431]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1391,plain,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5767_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11425,plain,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1391]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11426,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11425]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1388,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5768_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11419,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1388]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11420,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11419]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1348,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5781_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11339,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1348]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11340,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11339]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1344,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5782_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11331,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1344]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11332,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11331]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1340,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5783_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11323,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1340]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11324,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11323]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1336,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5784_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11315,plain,
% 3.19/3.41 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1336]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11316,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11315]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1332,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5785_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11307,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1332]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11308,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11307]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1328,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5786_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11299,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1328]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11300,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11299]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1324,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5787_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11291,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1324]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11292,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11291]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1320,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5788_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11283,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1320]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11284,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11283]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1263,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | c_lessequals(X2,X1,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5810_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11169,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | c_lessequals(X2,X1,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1263]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11170,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | c_lessequals(X2,X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11169]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1261,plain,
% 3.19/3.41 ( c_lessequals(X0,X1,X2)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.41 | ~ c_lessequals(X1,X0,X2)
% 3.19/3.41 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5810_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11165,plain,
% 3.19/3.41 ( c_lessequals(X0,X1,X2)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.41 | ~ c_lessequals(X1,X0,X2)
% 3.19/3.41 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1261]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11166,plain,
% 3.19/3.41 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_lessequals(X2,X1,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11165]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1257,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.41 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.41 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5811_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11157,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.41 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.41 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1257]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11158,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.41 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.41 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11157]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1241,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5816_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11125,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1241]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11126,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11125]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1229,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5819_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11101,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1229]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11102,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11101]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1225,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5820_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11093,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1225]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11094,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11093]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1221,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5821_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11085,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1221]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11086,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11085]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1217,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5822_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11077,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1217]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11078,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11077]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1213,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5823_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11069,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1213]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11070,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_11069]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1178,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5835_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10999,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1178]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_11000,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10999]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1151,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5844_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10945,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1151]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10946,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10945]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1096,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5862_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10835,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1096]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10836,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10835]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_1023,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5887_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10689,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_1023]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10690,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10689]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_982,plain,
% 3.19/3.41 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5902_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10607,plain,
% 3.19/3.41 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_982]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10608,plain,
% 3.19/3.41 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10607]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_951,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5916_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10545,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_951]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10546,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10545]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_946,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5917_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10535,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_946]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10536,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10535]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_919,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | ~ c_lessequals(X0,X1,X2)
% 3.19/3.41 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5926_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10481,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | ~ c_lessequals(X0,X1,X2)
% 3.19/3.41 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_919]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10482,plain,
% 3.19/3.41 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | X1 = X2 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10481]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_911,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | X0 = X1
% 3.19/3.41 | ~ c_lessequals(X0,X1,X2)
% 3.19/3.41 | ~ class_Orderings_Olinorder(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5928_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10465,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | X0 = X1
% 3.19/3.41 | ~ c_lessequals(X0,X1,X2)
% 3.19/3.41 | ~ class_Orderings_Olinorder(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_911]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10466,plain,
% 3.19/3.41 ( ~ class_Orderings_Olinorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | X1 = X2 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10465]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_903,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.41 | ~ c_lessequals(X1,X0,X2)
% 3.19/3.41 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5930_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10449,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.41 | ~ c_lessequals(X1,X0,X2)
% 3.19/3.41 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_903]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10450,plain,
% 3.19/3.41 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.41 | X2 = X1 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10449]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_879,plain,
% 3.19/3.41 ( c_Suc(X0) = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5939_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10401,plain,
% 3.19/3.41 ( c_Suc(X0) = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_879]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10402,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | c_Suc(X0) = X1 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10401]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_858,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5948_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10359,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_858]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10360,plain,
% 3.19/3.41 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 3.19/3.41 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10359]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_829,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.41 | ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5962_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10301,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.19/3.41 | ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_829]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10302,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10301]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_820,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5965_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10283,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_820]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10284,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.41 | X0 = X1 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10283]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_795,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | ~ class_Int_Onumber(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5973_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10233,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.41 | ~ class_Int_Onumber(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_795]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10234,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10233]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_771,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Power_Opower(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5980_5) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10185,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Power_Opower(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_771]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10186,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.19/3.41 | ~ class_Power_Opower(X0)
% 3.19/3.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10185]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_766,plain,
% 3.19/3.41 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Power_Opower(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5981_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10175,plain,
% 3.19/3.41 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Power_Opower(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_766]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10176,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.19/3.41 | ~ class_Power_Opower(X0)
% 3.19/3.41 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10175]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_761,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5982_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10165,plain,
% 3.19/3.41 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_761]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10166,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10165]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_756,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5983_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10155,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Int_Onumber(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_756]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10156,plain,
% 3.19/3.41 ( ~ class_Int_Onumber(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.19/3.41 | c_Int_Onumber__class_Onumber__of(X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10155]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_727,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5991_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10097,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_727]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_10098,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.19/3.41 | X1 = X2 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_10097]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_653,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6021_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9949,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_653]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9950,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.19/3.41 | X0 = X1 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9949]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_642,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.41 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6024_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9927,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.41 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_642]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9928,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 3.19/3.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.41 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9927]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_632,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6027_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9907,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_632]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9908,plain,
% 3.19/3.41 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 3.19/3.41 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9907]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_598,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Power_Opower(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6040_5) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9839,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Power_Opower(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_598]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9840,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.19/3.41 | ~ class_Power_Opower(X0)
% 3.19/3.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9839]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_580,plain,
% 3.19/3.41 ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6046_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9803,plain,
% 3.19/3.41 ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_580]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9804,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.41 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9803]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_577,plain,
% 3.19/3.41 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6047_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9797,plain,
% 3.19/3.41 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_577]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9798,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9797]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_525,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6073_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9693,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_525]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9694,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9693]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_499,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6085_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9641,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_499]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9642,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9641]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_385,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.19/3.41 | X1 = X2
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6141_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9413,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.19/3.41 | X1 = X2
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_385]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9414,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = X2 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9413]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_359,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6155_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9361,plain,
% 3.19/3.41 ( X0 = X1
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_359]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9362,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.19/3.41 | X1 = X2 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9361]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_354,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6165_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9351,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_354]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9352,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9351]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_339,plain,
% 3.19/3.41 ( X0 = c_HOL_Oone__class_Oone(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6174_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9321,plain,
% 3.19/3.41 ( X0 = c_HOL_Oone__class_Oone(X1)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_339]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9322,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.19/3.41 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9321]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_302,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6188_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9247,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_302]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9248,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9247]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_299,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6189_2) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9241,plain,
% 3.19/3.41 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_299]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9242,plain,
% 3.19/3.41 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.19/3.41 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.41 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9241]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_254,plain,
% 3.19/3.41 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat)),tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5333_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9151,plain,
% 3.19/3.41 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat)),tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_254]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9152,plain,
% 3.19/3.41 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat)),tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9151]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_235,plain,
% 3.19/3.41 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat),tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5884_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9114,plain,
% 3.19/3.41 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X0,tc_nat),tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_235]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9115,plain,
% 3.19/3.41 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat),tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9114]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_227,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6132_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9101,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_227]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_9102,plain,
% 3.19/3.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_9101]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_3908,negated_conjecture,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_4) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_4742,negated_conjecture,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_3908]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_4746,negated_conjecture,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_4742]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_4747,negated_conjecture,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_4746]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_4748,negated_conjecture,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_4747]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16459,negated_conjecture,
% 3.19/3.41 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_4748]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_3906,plain,
% 3.19/3.41 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X4,X2),X2),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.19/3.41 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5144_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16455,plain,
% 3.19/3.41 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X4,X2),X2),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.19/3.41 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_3906]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16456,plain,
% 3.19/3.41 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_16455]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_3904,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5145_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16451,plain,
% 3.19/3.41 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 3.19/3.41 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_3904]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16452,plain,
% 3.19/3.41 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.41 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_16451]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_3902,plain,
% 3.19/3.41 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X5,X3),X4,X3),X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X4,X3)
% 3.19/3.41 | ~ class_RealVector_Oreal__field(X3) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5146_1) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16447,plain,
% 3.19/3.41 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X5,X3),X4,X3),X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X4,X3)
% 3.19/3.41 | ~ class_RealVector_Oreal__field(X3) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_3902]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16448,plain,
% 3.19/3.41 ( ~ class_RealVector_Oreal__field(X0)
% 3.19/3.41 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 3.19/3.41 inference(rewriting,[status(thm)],[c_16447]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_3901,plain,
% 3.19/3.41 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.41 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5147_0) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16445,plain,
% 3.19/3.41 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.41 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_3901]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_3898,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X3,X1)
% 3.19/3.41 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.19/3.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5147_3) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16439,plain,
% 3.19/3.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.41 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X3,X1)
% 3.19/3.41 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.19/3.41 inference(copy,[status(esa)],[c_3898]) ).
% 3.19/3.41
% 3.19/3.41 cnf(c_16440,plain,
% 3.19/3.41 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.41 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 3.19/3.41 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16439]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3895,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5148_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16433,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3895]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16434,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16433]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3892,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5149_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16427,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3892]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16428,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16427]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3889,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5150_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16421,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3889]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16422,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16421]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3886,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5151_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16415,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3886]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16416,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16415]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3883,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5152_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16409,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3883]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16410,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16409]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3880,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5153_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16403,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3880]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16404,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16403]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3877,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5154_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16397,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3877]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16398,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16397]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3874,plain,
% 3.19/3.42 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5155_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16391,plain,
% 3.19/3.42 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3874]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16392,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.19/3.42 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16391]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3869,plain,
% 3.19/3.42 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),X2,X3),X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Odvd(X3) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5156_4) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16381,plain,
% 3.19/3.42 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),X2,X3),X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Odvd(X3) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3869]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16382,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odvd(X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 3.19/3.42 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16381]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3862,plain,
% 3.19/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5158_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16367,plain,
% 3.19/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3862]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16368,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16367]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3858,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5160_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16359,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3858]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16360,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16359]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3829,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5165_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16301,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3829]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3826,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5165_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16295,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3826]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16296,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16295]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3769,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5174_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16181,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3769]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3766,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5174_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16175,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3766]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16176,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16175]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3765,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5175_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16173,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3765]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3762,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5175_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16167,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3762]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16168,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16167]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3731,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5180_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16105,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3731]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16106,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16105]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3728,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5181_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16099,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3728]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16100,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16099]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3726,plain,
% 3.19/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5182_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16095,plain,
% 3.19/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3726]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16096,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16095]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3723,plain,
% 3.19/3.42 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Oring(X3) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5183_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16089,plain,
% 3.19/3.42 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Oring(X3) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3723]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16090,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 3.19/3.42 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16089]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3720,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5184_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16083,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3720]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16084,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16083]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3718,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5185_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16079,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3718]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16080,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16079]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3712,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.42 | X2 = X4
% 3.19/3.42 | X1 = X3 ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5187_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16067,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.42 | X2 = X4
% 3.19/3.42 | X1 = X3 ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3712]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3708,plain,
% 3.19/3.42 ( X0 = X1
% 3.19/3.42 | X2 = X3
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X4)
% 3.19/3.42 | ~ class_Ring__and__Field_Oidom(X4) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5187_4) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16059,plain,
% 3.19/3.42 ( X0 = X1
% 3.19/3.42 | X2 = X3
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X4)
% 3.19/3.42 | ~ class_Ring__and__Field_Oidom(X4) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3708]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16060,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.42 | X1 = X3
% 3.19/3.42 | X2 = X4 ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16059]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3704,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5188_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16051,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3704]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_16052,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_16051]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3542,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.19/3.42 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5213_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15727,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.19/3.42 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3542]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15728,plain,
% 3.19/3.42 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.42 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15727]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3483,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5222_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15609,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3483]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15610,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15609]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3480,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5223_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15603,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3480]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15604,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15603]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3464,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5226_4) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15571,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3464]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15572,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15571]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3459,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.42 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5227_4) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15561,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.19/3.42 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3459]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15562,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X2,X1,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15561]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3457,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5228_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15557,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3457]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15558,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15557]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3377,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5241_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15397,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3377]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15398,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15397]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3344,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.19/3.42 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5247_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15331,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.19/3.42 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3344]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3343,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.42 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5247_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15329,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.42 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3343]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3340,plain,
% 3.19/3.42 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5247_4) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15323,plain,
% 3.19/3.42 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3340]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15324,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.42 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15323]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3338,plain,
% 3.19/3.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5248_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15319,plain,
% 3.19/3.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3338]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15320,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15319]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3336,plain,
% 3.19/3.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5249_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15315,plain,
% 3.19/3.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3336]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15316,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15315]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3278,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.42 | ~ c_lessequals(X1,X4,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5259_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15199,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.42 | ~ c_lessequals(X1,X4,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3278]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15200,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.42 | ~ c_lessequals(X1,X4,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15199]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3272,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.42 | ~ c_lessequals(X1,X4,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5260_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15187,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.42 | ~ c_lessequals(X1,X4,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3272]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15188,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.19/3.42 | ~ c_lessequals(X3,X2,X0)
% 3.19/3.42 | ~ c_lessequals(X1,X4,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15187]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3258,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5262_5) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15159,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3258]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15160,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15159]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3254,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5263_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15151,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3254]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15152,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15151]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3251,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X3),X3),X2,X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X3) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5264_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15145,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X3),X3),X2,X3)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X3) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3251]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15146,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15145]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3248,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5265_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15139,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3248]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15140,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15139]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3220,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5270_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15083,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3220]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15084,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 3.19/3.42 | c_lessequals(X2,X1,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15083]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3218,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5271_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15079,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3218]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15080,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15079]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3213,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5272_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15069,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3213]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15070,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15069]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3210,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5273_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15063,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3210]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15064,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15063]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3208,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5274_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15059,plain,
% 3.19/3.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3208]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_15060,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_15059]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3081,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5295_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14805,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3081]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14806,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14805]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3077,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5296_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14797,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3077]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14798,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14797]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3061,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5300_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14765,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3061]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14766,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.42 | c_lessequals(X2,X3,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14765]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3057,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5301_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14757,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3057]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14758,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.42 | c_lessequals(X2,X3,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14757]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3020,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5311_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14683,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3020]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3017,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X2,X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5311_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14677,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X2,X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3017]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14678,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14677]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3016,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5312_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14675,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3016]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3013,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5312_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14669,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3013]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14670,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14669]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3012,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5313_0) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14667,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3012]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3009,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5313_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14661,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3009]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14662,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.42 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14661]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3006,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.42 | ~ class_Int_Onumber(X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5314_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14655,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 3.19/3.42 | ~ class_Int_Onumber(X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3006]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14656,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.19/3.42 | ~ class_Int_Onumber(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14655]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_3003,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
% 3.19/3.42 | ~ class_Int_Onumber(X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Osemiring(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5315_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14649,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X2,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
% 3.19/3.42 | ~ class_Int_Onumber(X1)
% 3.19/3.42 | ~ class_Ring__and__Field_Osemiring(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_3003]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14650,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.19/3.42 | ~ class_Int_Onumber(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14649]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2983,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5321_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14609,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2983]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14610,plain,
% 3.19/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 3.19/3.42 | c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14609]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2977,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5323_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14597,plain,
% 3.19/3.42 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2977]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14598,plain,
% 3.19/3.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.42 | c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14597]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2950,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5330_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14543,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2950]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14544,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.42 | ~ class_Int_Onumber__ring(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14543]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2947,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.19/3.42 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5331_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14537,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.19/3.42 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2947]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14538,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 3.19/3.42 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14537]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2944,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.19/3.42 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5332_2) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14531,plain,
% 3.19/3.42 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.19/3.42 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2944]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14532,plain,
% 3.19/3.42 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.42 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 3.19/3.42 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14531]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2939,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5334_4) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14521,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2939]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14522,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.42 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14521]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2935,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5335_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14513,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2935]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14514,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14513]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2927,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5337_3) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14497,plain,
% 3.19/3.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2927]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14498,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.42 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14497]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2921,plain,
% 3.19/3.42 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_HOL_Ominus__class_Ominus(X1,X4,X2),X2)
% 3.19/3.42 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5339_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14485,plain,
% 3.19/3.42 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_HOL_Ominus__class_Ominus(X1,X4,X2),X2)
% 3.19/3.42 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2921]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14486,plain,
% 3.19/3.42 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.42 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14485]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2919,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5340_1) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14481,plain,
% 3.19/3.42 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 3.19/3.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.42 inference(copy,[status(esa)],[c_2919]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_14482,plain,
% 3.19/3.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.42 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 3.19/3.42 inference(rewriting,[status(thm)],[c_14481]) ).
% 3.19/3.42
% 3.19/3.42 cnf(c_2917,plain,
% 3.19/3.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5341_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14477,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2917]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14478,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14477]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2916,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5342_0) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14475,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2916]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2913,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5342_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14469,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2913]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14470,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14469]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2912,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5343_0) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14467,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2912]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2909,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5343_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14461,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2909]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14462,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14461]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2904,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.43 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5344_4) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14451,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.43 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2904]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14452,plain,
% 3.19/3.43 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14451]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2899,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | X2 = X3
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.19/3.43 | ~ class_Int_Onumber__ring(X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5345_4) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14441,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | X2 = X3
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.19/3.43 | ~ class_Int_Onumber__ring(X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2899]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14442,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.43 | ~ class_Int_Onumber__ring(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.19/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.43 | X3 = X4 ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14441]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2828,plain,
% 3.19/3.43 ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.43 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5358_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14299,plain,
% 3.19/3.43 ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.43 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2828]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14300,plain,
% 3.19/3.43 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.43 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14299]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2810,plain,
% 3.19/3.43 ( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5363_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14263,plain,
% 3.19/3.43 ( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2810]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14264,plain,
% 3.19/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14263]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2808,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5364_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14259,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2808]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14260,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14259]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2806,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5365_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14255,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2806]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14256,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14255]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2804,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5366_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14251,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2804]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14252,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14251]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2802,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5367_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14247,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2802]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14248,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14247]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2798,plain,
% 3.19/3.43 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 3.19/3.43 | ~ c_lessequals(X4,X2,X3)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5368_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14239,plain,
% 3.19/3.43 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 3.19/3.43 | ~ c_lessequals(X4,X2,X3)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2798]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14240,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X4,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X4,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14239]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2797,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | ~ c_lessequals(X1,X2,tc_nat)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5369_0) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14237,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | ~ c_lessequals(X1,X2,tc_nat)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2797]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2794,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X4,X2),X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,tc_nat)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5369_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14231,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X4,X2),X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,tc_nat)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2794]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14232,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | ~ c_lessequals(X1,X2,tc_nat)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14231]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2764,plain,
% 3.19/3.43 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5374_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14171,plain,
% 3.19/3.43 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2764]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14172,plain,
% 3.19/3.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 3.19/3.43 | c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14171]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2762,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5375_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14167,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2762]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14168,plain,
% 3.19/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14167]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2758,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5376_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14159,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2758]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14160,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.19/3.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14159]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2754,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5377_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14151,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2754]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14152,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14151]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2751,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5378_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14145,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2751]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14146,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14145]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2748,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5379_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14139,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2748]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14140,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14139]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2745,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5380_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14133,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2745]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14134,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14133]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2742,plain,
% 3.19/3.43 ( c_lessequals(X0,X1,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5381_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14127,plain,
% 3.19/3.43 ( c_lessequals(X0,X1,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2742]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14128,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.43 | c_lessequals(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14127]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2739,plain,
% 3.19/3.43 ( c_lessequals(X0,X1,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5382_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14121,plain,
% 3.19/3.43 ( c_lessequals(X0,X1,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2739]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14122,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.43 | c_lessequals(X1,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14121]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2736,plain,
% 3.19/3.43 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,X3),X1,X3)
% 3.19/3.43 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5383_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14115,plain,
% 3.19/3.43 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,X3),X1,X3)
% 3.19/3.43 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2736]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14116,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14115]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2706,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5388_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14055,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2706]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2704,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5389_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14051,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2704]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2688,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5393_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14019,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2688]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14020,plain,
% 3.19/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14019]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2686,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5394_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14015,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2686]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_14016,plain,
% 3.19/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.43 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_14015]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2664,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5399_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13971,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2664]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13972,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13971]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2656,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5401_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13955,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2656]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13956,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13955]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2648,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5403_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13939,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2648]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13940,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13939]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2640,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5405_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13923,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2640]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13924,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13923]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2636,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5406_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13915,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2636]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13916,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13915]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2624,plain,
% 3.19/3.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5409_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13891,plain,
% 3.19/3.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2624]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13892,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13891]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2616,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5411_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13875,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2616]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13876,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13875]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2612,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5412_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13867,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2612]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13868,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13867]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2608,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5413_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13859,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2608]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13860,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13859]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2604,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5414_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13851,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2604]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13852,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13851]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2582,plain,
% 3.19/3.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5419_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13807,plain,
% 3.19/3.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2582]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13808,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,X3,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13807]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2574,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5421_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13791,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2574]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13792,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13791]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2542,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5427_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13727,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2542]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13728,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13727]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2534,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5429_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13711,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2534]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13712,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.43 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13711]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2530,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5430_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13703,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2530]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13704,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13703]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2526,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5431_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13695,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2526]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13696,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.43 | ~ c_lessequals(X2,X4,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13695]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2522,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,tc_nat)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5432_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13687,plain,
% 3.19/3.43 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X4,X2),X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.43 | ~ c_lessequals(X1,X4,tc_nat)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2522]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13688,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | ~ c_lessequals(X1,X2,tc_nat)
% 3.19/3.43 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X4,X2,X0),X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13687]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2516,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5434_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13675,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2516]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13676,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.43 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 3.19/3.43 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13675]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2513,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5435_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13669,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2513]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13670,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13669]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2510,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5436_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13663,plain,
% 3.19/3.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2510]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13664,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13663]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2508,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5437_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13659,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2508]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13660,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13659]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2506,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5438_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13655,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2506]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13656,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13655]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2504,plain,
% 3.19/3.43 ( 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)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5439_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13651,plain,
% 3.19/3.43 ( 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)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2504]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13652,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.43 | 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) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13651]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2502,plain,
% 3.19/3.43 ( 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)
% 3.19/3.43 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5440_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13647,plain,
% 3.19/3.43 ( 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)
% 3.19/3.43 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2502]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13648,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.43 | 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) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13647]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2500,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5441_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13643,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2500]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13644,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13643]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2498,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5442_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13639,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2498]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13640,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13639]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2496,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5443_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13635,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2496]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13636,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13635]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2494,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__vector(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5444_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13631,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__vector(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2494]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13632,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__vector(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13631]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2490,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5446_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13623,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2490]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13624,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.43 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13623]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2486,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5448_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13615,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2486]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13616,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.43 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13615]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2484,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5449_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13611,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2484]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13612,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.19/3.43 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13611]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2482,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__vector(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5450_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13607,plain,
% 3.19/3.43 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__vector(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2482]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13608,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__vector(X0)
% 3.19/3.43 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13607]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2478,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5452_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13599,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2478]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13600,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13599]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2476,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5453_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13595,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2476]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13596,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13595]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2472,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5455_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13587,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2472]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13588,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13587]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2468,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5457_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13579,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.43 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2468]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13580,plain,
% 3.19/3.43 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13579]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2466,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5458_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13575,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2466]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13576,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13575]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2451,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5463_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13545,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2451]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13546,plain,
% 3.19/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13545]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2454,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5462_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13551,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2454]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13552,plain,
% 3.19/3.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13551]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2446,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5465_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13535,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2446]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13536,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oring__1(X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13535]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2443,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_lessequals(X0,X2,tc_nat)
% 3.19/3.43 | ~ c_lessequals(X1,X3,tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5466_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13529,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_lessequals(X0,X2,tc_nat)
% 3.19/3.43 | ~ c_lessequals(X1,X3,tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2443]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2433,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5469_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13509,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2433]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13510,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13509]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2423,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5471_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13489,plain,
% 3.19/3.43 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2423]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13490,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13489]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2421,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5472_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13485,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2421]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13486,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13485]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2416,plain,
% 3.19/3.43 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.43 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5473_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13475,plain,
% 3.19/3.43 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.19/3.43 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2416]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13476,plain,
% 3.19/3.43 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.43 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13475]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2413,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5474_2) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13469,plain,
% 3.19/3.43 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 3.19/3.43 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2413]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13470,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 3.19/3.43 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13469]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2305,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5495_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13253,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2305]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13254,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13253]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2301,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5496_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13245,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2301]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13246,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13245]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2297,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5497_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13237,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2297]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13238,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13237]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2293,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5498_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13229,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2293]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13230,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13229]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2285,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5500_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13213,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2285]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13214,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13213]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2284,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5501_0) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13211,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2284]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2281,plain,
% 3.19/3.43 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5501_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13205,plain,
% 3.19/3.43 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2281]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13206,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13205]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2258,plain,
% 3.19/3.43 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.43 | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5507_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13159,plain,
% 3.19/3.43 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.43 | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2258]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13160,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.43 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.43 | c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13159]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2216,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5516_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13075,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2216]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2214,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5517_1) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13071,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2214]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2210,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5518_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13063,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2210]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13064,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13063]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2202,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5520_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13047,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2202]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13048,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13047]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2198,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5521_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13039,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.19/3.43 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2198]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13040,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13039]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2194,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5522_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13031,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2194]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13032,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13031]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2190,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5523_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13023,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2190]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13024,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13023]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2186,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5524_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13015,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2186]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13016,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13015]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2182,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5525_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13007,plain,
% 3.19/3.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2182]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_13008,plain,
% 3.19/3.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.19/3.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.43 inference(rewriting,[status(thm)],[c_13007]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_2162,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.19/3.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5530_3) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_12967,plain,
% 3.19/3.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.43 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.19/3.43 inference(copy,[status(esa)],[c_2162]) ).
% 3.19/3.43
% 3.19/3.43 cnf(c_12968,plain,
% 3.19/3.43 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.19/3.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12967]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2154,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5532_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12951,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2154]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12952,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12951]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2146,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5534_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12935,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2146]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12936,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12935]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2142,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5535_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12927,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2142]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12928,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12927]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2138,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5536_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12919,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2138]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12920,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12919]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2134,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5537_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12911,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2134]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12912,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12911]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2130,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5538_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12903,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2130]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12904,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12903]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2122,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5540_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12887,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2122]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12888,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12887]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2118,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5541_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12879,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2118]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12880,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12879]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2114,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5542_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12871,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2114]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12872,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12871]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2110,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5543_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12863,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2110]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12864,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12863]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2106,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5544_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12855,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2106]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12856,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12855]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2098,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5546_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12839,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2098]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12840,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12839]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2094,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5547_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12831,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2094]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12832,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12831]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2082,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5550_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12807,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2082]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12808,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12807]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2078,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5551_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12799,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2078]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12800,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12799]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2074,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5552_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12791,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2074]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12792,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12791]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2065,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5556_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12773,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2065]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12774,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12773]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2062,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5557_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12767,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2062]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12768,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12767]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2059,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5558_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12761,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2059]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12762,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12761]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2056,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5559_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12755,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2056]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12756,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12755]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2053,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5560_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12749,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2053]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12750,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12749]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2050,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5561_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12743,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2050]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12744,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12743]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2047,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5562_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12737,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2047]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12738,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12737]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2044,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5563_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12731,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2044]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12732,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12731]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2041,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5564_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12725,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2041]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12726,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12725]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2038,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5565_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12719,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2038]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12720,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12719]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2035,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5566_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12713,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2035]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12714,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12713]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2027,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5568_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12697,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2027]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12698,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12697]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_2024,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5569_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12691,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 3.19/3.44 | ~ c_lessequals(X1,X3,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_2024]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12692,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | ~ c_lessequals(X1,X2,tc_nat)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12691]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1982,plain,
% 3.19/3.44 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5579_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12607,plain,
% 3.19/3.44 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1982]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12608,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12607]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1974,plain,
% 3.19/3.44 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.19/3.44 | ~ class_Int_Onumber(X1)
% 3.19/3.44 | ~ class_Orderings_Olinorder(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5581_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12591,plain,
% 3.19/3.44 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.19/3.44 | ~ class_Int_Onumber(X1)
% 3.19/3.44 | ~ class_Orderings_Olinorder(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1974]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12592,plain,
% 3.19/3.44 ( ~ class_Orderings_Olinorder(X0)
% 3.19/3.44 | ~ class_Int_Onumber(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12591]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1947,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5589_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12537,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 3.19/3.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1947]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1945,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 3.19/3.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5590_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12533,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 3.19/3.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1945]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1935,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5593_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12513,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1935]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12514,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12513]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1933,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5594_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12509,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1933]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12510,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12509]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1929,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5595_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12501,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1929]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12502,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12501]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1925,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5596_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12493,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1925]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12494,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12493]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1922,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X0,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5597_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12487,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X0,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1922]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12488,plain,
% 3.19/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12487]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1919,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X2,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5598_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12481,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X2,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1919]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12482,plain,
% 3.19/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.19/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12481]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1917,plain,
% 3.19/3.44 ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5599_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12477,plain,
% 3.19/3.44 ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1917]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12478,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.44 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12477]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1914,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5600_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12471,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1914]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1910,plain,
% 3.19/3.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5601_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12463,plain,
% 3.19/3.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1910]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12464,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12463]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1904,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5603_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12451,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1904]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12452,plain,
% 3.19/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 3.19/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12451]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1901,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5604_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12445,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1901]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12446,plain,
% 3.19/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 3.19/3.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12445]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1898,plain,
% 3.19/3.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5605_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12439,plain,
% 3.19/3.44 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1898]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12440,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12439]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1895,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5606_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12433,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1895]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12434,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12433]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1892,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5607_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12427,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1892]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12428,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12427]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1889,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5608_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12421,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1889]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12422,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12421]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1886,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5609_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12415,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1886]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12416,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12415]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1883,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5610_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12409,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1883]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12410,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12409]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1877,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__field(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5613_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12397,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__field(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1877]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12398,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12397]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1875,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5614_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12393,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1875]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12394,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12393]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1871,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5616_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12385,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1871]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12386,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12385]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1869,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5617_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12381,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1869]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12382,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12381]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1865,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5619_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12373,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1865]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12374,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12373]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1863,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5620_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12369,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1863]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12370,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12369]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1861,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5621_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12365,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1861]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12366,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12365]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1859,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5622_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12361,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1859]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12362,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12361]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1857,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5623_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12357,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1857]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12358,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12357]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1853,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__vector(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5625_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12349,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__vector(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1853]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12350,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__vector(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12349]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1851,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5626_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12345,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1851]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12346,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12345]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1849,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5627_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12341,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1849]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12342,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__algebra(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12341]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1847,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5628_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12337,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1847]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12338,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__algebra(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12337]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1843,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5630_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12329,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1843]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12330,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12329]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1839,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5632_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12321,plain,
% 3.19/3.44 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 3.19/3.44 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1839]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12322,plain,
% 3.19/3.44 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.44 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12321]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1835,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5634_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12313,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1835]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12314,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12313]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1831,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5636_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12305,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1831]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12306,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12305]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1829,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5637_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12301,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1829]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12302,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12301]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1827,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5638_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12297,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1827]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12298,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12297]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1825,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5639_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12293,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1825]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12294,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12293]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1823,plain,
% 3.19/3.44 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5640_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12289,plain,
% 3.19/3.44 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1823]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12290,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12289]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1821,plain,
% 3.19/3.44 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5641_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12285,plain,
% 3.19/3.44 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1821]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12286,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.19/3.44 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12285]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1818,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5642_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12279,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1818]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12280,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12279]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1815,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5643_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12273,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1815]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12274,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_lessequals(X1,X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12273]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1811,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5644_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12265,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1811]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12266,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.44 | c_lessequals(X1,X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12265]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1807,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5645_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12257,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1807]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12258,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.44 | c_lessequals(X2,X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12257]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1799,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5647_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12241,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1799]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12242,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12241]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1795,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5648_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12233,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1795]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12234,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12233]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1791,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5649_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12225,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1791]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12226,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12225]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1787,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5650_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12217,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1787]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12218,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.44 | c_lessequals(X1,X2,X0)
% 3.19/3.44 | ~ c_lessequals(X3,X4,X0)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12217]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1783,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5651_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12209,plain,
% 3.19/3.44 ( c_lessequals(X0,X1,X2)
% 3.19/3.44 | ~ c_lessequals(X3,X4,X2)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1783]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12210,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.44 | c_lessequals(X1,X2,X0)
% 3.19/3.44 | ~ c_lessequals(X3,X4,X0)
% 3.19/3.44 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12209]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1781,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5652_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12205,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1781]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1779,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5653_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12201,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1779]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1776,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5654_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12195,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1776]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12196,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12195]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1773,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5655_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12189,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1773]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12190,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12189]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1763,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5659_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12169,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1763]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12170,plain,
% 3.19/3.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12169]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1761,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5660_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12165,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1761]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12166,plain,
% 3.19/3.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12165]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1758,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5661_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12159,plain,
% 3.19/3.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1758]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12160,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12159]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1756,plain,
% 3.19/3.44 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5662_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12155,plain,
% 3.19/3.44 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | ~ class_Divides_Osemiring__div(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1756]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12156,plain,
% 3.19/3.44 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12155]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1753,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5663_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12149,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.44 | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1753]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12150,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12149]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1739,plain,
% 3.19/3.44 ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5667_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12121,plain,
% 3.19/3.44 ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1739]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12122,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12121]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1737,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5668_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12117,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1737]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12118,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12117]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1735,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5669_1) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12113,plain,
% 3.19/3.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1735]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12114,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.44 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12113]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1730,plain,
% 3.19/3.44 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 3.19/3.44 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.44 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5670_4) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12103,plain,
% 3.19/3.44 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 3.19/3.44 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.44 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1730]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12104,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.44 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.19/3.44 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.19/3.44 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12103]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1711,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5674_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12065,plain,
% 3.19/3.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1711]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12066,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.44 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12065]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1707,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.44 | ~ c_lessequals(X2,X0,X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5675_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12057,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.44 | ~ c_lessequals(X2,X0,X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1707]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12058,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X2,X1,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12057]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1703,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.44 | ~ c_lessequals(X2,X0,X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5676_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12049,plain,
% 3.19/3.44 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.44 | ~ c_lessequals(X2,X0,X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1703]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12050,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.44 | ~ c_lessequals(X1,X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12049]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1695,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5678_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12033,plain,
% 3.19/3.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1695]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12034,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12033]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1692,plain,
% 3.19/3.44 ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X2,X1),X1)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 3.19/3.44 | ~ class_Divides_Oring__div(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5679_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12027,plain,
% 3.19/3.44 ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X2,X1),X1)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 3.19/3.44 | ~ class_Divides_Oring__div(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1692]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12028,plain,
% 3.19/3.44 ( ~ class_Divides_Oring__div(X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12027]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1689,plain,
% 3.19/3.44 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X1,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.44 | ~ class_Divides_Oring__div(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5680_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12021,plain,
% 3.19/3.44 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X1,X2),X2)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.44 | ~ class_Divides_Oring__div(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1689]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_12022,plain,
% 3.19/3.44 ( ~ class_Divides_Oring__div(X0)
% 3.19/3.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.44 | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_12021]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1676,plain,
% 3.19/3.44 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5683_2) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11995,plain,
% 3.19/3.44 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1676]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11996,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_11995]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1656,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5688_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11955,plain,
% 3.19/3.44 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1656]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11956,plain,
% 3.19/3.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.44 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_11955]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1643,plain,
% 3.19/3.44 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5691_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11929,plain,
% 3.19/3.44 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1643]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11930,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 3.19/3.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_11929]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1639,plain,
% 3.19/3.44 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5692_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11921,plain,
% 3.19/3.44 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.44 inference(copy,[status(esa)],[c_1639]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11922,plain,
% 3.19/3.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.44 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.19/3.44 inference(rewriting,[status(thm)],[c_11921]) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_1635,plain,
% 3.19/3.44 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.44 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5693_3) ).
% 3.19/3.44
% 3.19/3.44 cnf(c_11913,plain,
% 3.19/3.44 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.44 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1635]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11914,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11913]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1632,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5694_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11907,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1632]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11908,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11907]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1630,plain,
% 3.19/3.45 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5695_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11903,plain,
% 3.19/3.45 ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1630]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11904,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11903]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1607,plain,
% 3.19/3.45 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5700_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11857,plain,
% 3.19/3.45 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1607]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11858,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 3.19/3.45 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11857]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1572,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5708_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11787,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1572]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11788,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11787]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1569,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5709_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11781,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1569]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11782,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11781]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1566,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5710_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11775,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1566]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11776,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11775]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1563,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5711_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11769,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1563]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11770,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11769]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1560,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5712_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11763,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1560]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11764,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11763]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1557,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5713_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11757,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1557]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11758,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11757]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1555,plain,
% 3.19/3.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5714_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11753,plain,
% 3.19/3.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1555]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11754,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11753]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1552,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5715_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11747,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1552]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11748,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11747]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1549,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5716_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11741,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1549]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11742,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11741]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1546,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5717_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11735,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1546]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11736,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11735]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1543,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5718_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11729,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1543]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11730,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11729]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1540,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.45 | ~ c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5719_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11723,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.19/3.45 | ~ c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1540]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11724,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11723]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1537,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5720_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11717,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1537]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11718,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11717]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1531,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.45 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5722_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11705,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.19/3.45 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1531]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11706,plain,
% 3.19/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11705]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1528,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.45 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5723_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11699,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.45 | ~ class_Divides_Osemiring__div(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1528]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11700,plain,
% 3.19/3.45 ( ~ class_Divides_Osemiring__div(X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11699]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1525,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5724_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11693,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1525]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11694,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11693]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1522,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5725_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11687,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1522]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11688,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11687]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1510,plain,
% 3.19/3.45 ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5728_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11663,plain,
% 3.19/3.45 ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1510]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11664,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.45 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11663]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1508,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5729_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11659,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1508]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11660,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11659]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1507,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5730_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11657,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1507]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1504,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5730_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11651,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1504]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11652,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11651]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1495,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5733_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11633,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1495]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11634,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11633]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1494,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.45 | c_lessequals(X1,X3,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5734_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11631,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X2,X3,X0)
% 3.19/3.45 | c_lessequals(X1,X3,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1494]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1493,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | c_lessequals(X1,X3,X0)
% 3.19/3.45 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5734_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11629,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | c_lessequals(X1,X3,X0)
% 3.19/3.45 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1493]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1491,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.45 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5734_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11625,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.45 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1491]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11626,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | c_lessequals(X1,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11625]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1487,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.45 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5735_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11617,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.45 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1487]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11618,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X1,X3,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11617]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1485,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.45 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5736_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11613,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.45 | ~ c_lessequals(X2,X3,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1485]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1482,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X0)
% 3.19/3.45 | c_lessequals(X3,X2,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5737_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11607,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X0)
% 3.19/3.45 | c_lessequals(X3,X2,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1482]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1481,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | c_lessequals(X3,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5737_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11605,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_lessequals(X1,X2,X0)
% 3.19/3.45 | c_lessequals(X3,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1481]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1479,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.45 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5737_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11601,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ c_lessequals(X0,X3,X2)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.45 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1479]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11602,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | c_lessequals(X1,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X1,X3,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11601]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1475,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.45 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5738_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11593,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X2)
% 3.19/3.45 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1475]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11594,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11593]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1473,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5739_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11589,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.45 | ~ c_lessequals(X3,X1,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1473]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1470,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5740_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11583,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1470]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1469,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5740_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11581,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1469]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1467,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.45 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5740_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11577,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.45 | ~ class_Orderings_Opreorder(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1467]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11578,plain,
% 3.19/3.45 ( ~ class_Orderings_Opreorder(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11577]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1466,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5741_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11575,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1466]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1465,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5741_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11573,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1465]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1463,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.45 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5741_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11569,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.19/3.45 | ~ class_Orderings_Oorder(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1463]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11570,plain,
% 3.19/3.45 ( ~ class_Orderings_Oorder(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11569]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1462,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5742_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11567,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1462]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1461,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5742_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11565,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1461]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1459,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5742_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11561,plain,
% 3.19/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1459]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11562,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.19/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11561]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1457,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5743_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11557,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1457]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11558,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11557]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1455,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5744_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11553,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1455]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11554,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11553]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1453,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5745_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11549,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1453]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11550,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11549]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1451,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5746_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11545,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1451]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11546,plain,
% 3.19/3.45 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11545]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1449,plain,
% 3.19/3.45 ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5747_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11541,plain,
% 3.19/3.45 ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1449]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11542,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.45 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11541]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1447,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5748_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11537,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1447]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11538,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11537]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1443,plain,
% 3.19/3.45 ( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Int_Onumber__ring(X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5749_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11529,plain,
% 3.19/3.45 ( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Int_Onumber__ring(X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1443]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11530,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ class_Int_Onumber__ring(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11529]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1440,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5750_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11523,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,X2)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1440]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11524,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | c_lessequals(X2,X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11523]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1437,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5751_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11517,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1437]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11518,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11517]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1435,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5752_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11513,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1435]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11514,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11513]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1429,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_Power_Opower(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5755_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11501,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_Power_Opower(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1429]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11502,plain,
% 3.19/3.45 ( ~ class_Power_Opower(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11501]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1427,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5756_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11497,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1427]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11498,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11497]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1425,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5757_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11493,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1425]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11494,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11493]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1421,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 3.19/3.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.19/3.45 | ~ class_Int_Onumber(X1)
% 3.19/3.45 | ~ class_Orderings_Olinorder(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5758_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11485,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 3.19/3.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.19/3.45 | ~ class_Int_Onumber(X1)
% 3.19/3.45 | ~ class_Orderings_Olinorder(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1421]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11486,plain,
% 3.19/3.45 ( ~ class_Orderings_Olinorder(X0)
% 3.19/3.45 | ~ class_Int_Onumber(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.19/3.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11485]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1418,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5759_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11479,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1418]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1416,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5760_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11475,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1416]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11476,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11475]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1414,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 3.19/3.45 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5761_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11471,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 3.19/3.45 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1414]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11472,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11471]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1411,plain,
% 3.19/3.45 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X0,X2),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5762_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11465,plain,
% 3.19/3.45 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X0,X2),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1411]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11466,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11465]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1409,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 3.19/3.45 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5763_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11461,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 3.19/3.45 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1409]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11462,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11461]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1408,plain,
% 3.19/3.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X2,X0,tc_nat)
% 3.19/3.45 | c_lessequals(X2,X1,tc_nat) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5764_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11459,plain,
% 3.19/3.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X2,X0,tc_nat)
% 3.19/3.45 | c_lessequals(X2,X1,tc_nat) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1408]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1407,plain,
% 3.19/3.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.45 | c_lessequals(X2,X1,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X2,X0,tc_nat) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5764_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11457,plain,
% 3.19/3.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 3.19/3.45 | c_lessequals(X2,X1,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X2,X0,tc_nat) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1407]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1406,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X0,X2,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X2,X1,tc_nat) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5764_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11455,plain,
% 3.19/3.45 ( c_lessequals(X0,X1,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X0,X2,tc_nat)
% 3.19/3.45 | ~ c_lessequals(X2,X1,tc_nat) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1406]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1384,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5770_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11411,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1384]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1382,plain,
% 3.19/3.45 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.45 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5770_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11407,plain,
% 3.19/3.45 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.45 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1382]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11408,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11407]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1378,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5772_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11399,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1378]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1376,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5772_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11395,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1376]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11396,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11395]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1372,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5774_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11387,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1372]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1370,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5774_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11383,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1370]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11384,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11383]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1366,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5776_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11375,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1366]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1364,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5776_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11371,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1364]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11372,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11371]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1361,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5777_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11365,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1361]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11366,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11365]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1358,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5778_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11359,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1358]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11360,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11359]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1355,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5779_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11353,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1355]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11354,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11353]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1352,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5780_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11347,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1352]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11348,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11347]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1316,plain,
% 3.19/3.45 ( c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5789_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11275,plain,
% 3.19/3.45 ( c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1316]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11276,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11275]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1312,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5790_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11267,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1312]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11268,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11267]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1308,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5791_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11259,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1308]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11260,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11259]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1307,plain,
% 3.19/3.45 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5792_0) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11257,plain,
% 3.19/3.45 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1307]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1305,plain,
% 3.19/3.45 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5792_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11253,plain,
% 3.19/3.45 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1305]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11254,plain,
% 3.19/3.45 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.19/3.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11253]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1303,plain,
% 3.19/3.45 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5793_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11249,plain,
% 3.19/3.45 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1303]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11250,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11249]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1301,plain,
% 3.19/3.45 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5794_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11245,plain,
% 3.19/3.45 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1301]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11246,plain,
% 3.19/3.45 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11245]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1299,plain,
% 3.19/3.45 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5795_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11241,plain,
% 3.19/3.45 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1299]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11242,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.19/3.45 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11241]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1297,plain,
% 3.19/3.45 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5796_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11237,plain,
% 3.19/3.45 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1297]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11238,plain,
% 3.19/3.45 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.19/3.45 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11237]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1295,plain,
% 3.19/3.45 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_RealVector_Oreal__vector(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5797_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11233,plain,
% 3.19/3.45 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_RealVector_Oreal__vector(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1295]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11234,plain,
% 3.19/3.45 ( ~ class_RealVector_Oreal__vector(X0)
% 3.19/3.45 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11233]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1293,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5798_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11229,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1293]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11230,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11229]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1291,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5799_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11225,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Oring(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1291]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11226,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oring(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11225]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1287,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5801_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11217,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1287]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11218,plain,
% 3.19/3.45 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11217]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1283,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5803_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11209,plain,
% 3.19/3.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 3.19/3.45 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1283]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11210,plain,
% 3.19/3.45 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11209]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1280,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5804_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11203,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1280]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11204,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11203]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1277,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5805_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11197,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1277]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11198,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11197]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1274,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5806_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11191,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1274]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11192,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11191]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1271,plain,
% 3.19/3.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5807_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11185,plain,
% 3.19/3.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1271]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11186,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.19/3.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11185]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1268,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5808_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11179,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1268]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11180,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11179]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1265,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5809_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11173,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1265]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11174,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.19/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11173]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1253,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5812_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11149,plain,
% 3.19/3.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1253]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11150,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 3.19/3.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11149]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1250,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.19/3.45 | ~ c_lessequals(X2,X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5813_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11143,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.19/3.45 | ~ c_lessequals(X2,X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1250]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11144,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | ~ c_lessequals(X2,X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11143]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1247,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5814_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11137,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.19/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1247]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11138,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11137]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1245,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5815_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11133,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1245]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11134,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11133]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1209,plain,
% 3.19/3.45 ( X0 = X1
% 3.19/3.45 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5824_3) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11061,plain,
% 3.19/3.45 ( X0 = X1
% 3.19/3.45 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 3.19/3.45 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1209]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11062,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.19/3.45 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 3.19/3.45 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.19/3.45 | X1 = X2 ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11061]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1207,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 3.19/3.45 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5825_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11057,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 3.19/3.45 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1207]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11058,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11057]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1205,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5826_1) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11053,plain,
% 3.19/3.45 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 3.19/3.45 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1205]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11054,plain,
% 3.19/3.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.19/3.45 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11053]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1199,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5828_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11041,plain,
% 3.19/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1199]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11042,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.19/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 3.19/3.45 inference(rewriting,[status(thm)],[c_11041]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_1196,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5829_2) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11035,plain,
% 3.19/3.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.19/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.19/3.45 inference(copy,[status(esa)],[c_1196]) ).
% 3.19/3.45
% 3.19/3.45 cnf(c_11036,plain,
% 3.19/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.19/3.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.19/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_11035]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1193,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.31/3.45 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5830_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11029,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.31/3.45 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1193]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11030,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.31/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_11029]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1190,plain,
% 3.31/3.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.45 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5831_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11023,plain,
% 3.31/3.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.45 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1190]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11024,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.31/3.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_11023]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1187,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.31/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5832_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11017,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.31/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1187]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11018,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.31/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_11017]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1184,plain,
% 3.31/3.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5833_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11011,plain,
% 3.31/3.45 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1184]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_11012,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.31/3.45 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_11011]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1175,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5836_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10993,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1175]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10994,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10993]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1172,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5837_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10987,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1172]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10988,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10987]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1169,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5838_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10981,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1169]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10982,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10981]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1166,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5839_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10975,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1166]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10976,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10975]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1163,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5840_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10969,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1163]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10970,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10969]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1160,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5841_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10963,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1160]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10964,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.31/3.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10963]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1157,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5842_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10957,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1157]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10958,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10957]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1154,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5843_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10951,plain,
% 3.31/3.45 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1154]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10952,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.45 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10951]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1148,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5845_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10939,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1148]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10940,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.31/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10939]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1145,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5846_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10933,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1145]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10934,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.31/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10933]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1142,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5847_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10927,plain,
% 3.31/3.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1142]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10928,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.31/3.45 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10927]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1139,plain,
% 3.31/3.45 ( c_lessequals(X0,X1,X2)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5848_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10921,plain,
% 3.31/3.45 ( c_lessequals(X0,X1,X2)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1139]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10922,plain,
% 3.31/3.45 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.31/3.45 | c_lessequals(X1,X2,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10921]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1136,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5849_2) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10915,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.31/3.45 inference(copy,[status(esa)],[c_1136]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_10916,plain,
% 3.31/3.45 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.31/3.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.45 inference(rewriting,[status(thm)],[c_10915]) ).
% 3.31/3.45
% 3.31/3.45 cnf(c_1133,plain,
% 3.31/3.45 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.31/3.45 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.31/3.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5850_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10909,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1133]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10910,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10909]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1129,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X3)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X3) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5851_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10901,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X3)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X3) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1129]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10902,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.31/3.46 | X2 = X3 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10901]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1127,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5852_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10897,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1127]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10898,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10897]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1125,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5853_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10893,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1125]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10894,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10893]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1121,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X3)
% 3.31/3.46 | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 3.31/3.46 | ~ class_RealVector_Oreal__vector(X3) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5854_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10885,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X3)
% 3.31/3.46 | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 3.31/3.46 | ~ class_RealVector_Oreal__vector(X3) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1121]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10886,plain,
% 3.31/3.46 ( ~ class_RealVector_Oreal__vector(X0)
% 3.31/3.46 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = X3 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10885]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1118,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5855_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10879,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1118]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10880,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10879]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1115,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5856_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10873,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1115]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10874,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10873]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1112,plain,
% 3.31/3.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5857_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10867,plain,
% 3.31/3.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1112]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10868,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.31/3.46 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10867]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1109,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5858_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10861,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1109]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10862,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10861]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1106,plain,
% 3.31/3.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5859_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10855,plain,
% 3.31/3.46 ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1106]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10856,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.31/3.46 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10855]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1104,plain,
% 3.31/3.46 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5860_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10851,plain,
% 3.31/3.46 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1104]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10852,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.46 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10851]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1076,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | ~ c_lessequals(X1,X0,X2)
% 3.31/3.46 | ~ c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ class_Orderings_Oorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5867_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10795,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | ~ c_lessequals(X1,X0,X2)
% 3.31/3.46 | ~ c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ class_Orderings_Oorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1076]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10796,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0)
% 3.31/3.46 | ~ c_lessequals(X1,X2,X0)
% 3.31/3.46 | ~ c_lessequals(X2,X1,X0)
% 3.31/3.46 | X2 = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10795]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1078,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0)
% 3.31/3.46 | ~ c_lessequals(X1,X2,X0)
% 3.31/3.46 | X1 = X2
% 3.31/3.46 | ~ c_lessequals(X2,X1,X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5867_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10799,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0)
% 3.31/3.46 | ~ c_lessequals(X1,X2,X0)
% 3.31/3.46 | X1 = X2
% 3.31/3.46 | ~ c_lessequals(X2,X1,X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1078]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10800,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0)
% 3.31/3.46 | ~ c_lessequals(X1,X2,X0)
% 3.31/3.46 | ~ c_lessequals(X2,X1,X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10799]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1074,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5868_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10791,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1074]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10792,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10791]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1072,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5869_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10787,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1072]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10788,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10787]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1069,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5870_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10781,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1069]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10782,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10781]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1066,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5871_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10775,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1066]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10776,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 3.31/3.46 | X2 = X3 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10775]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1063,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5872_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10769,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1063]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10770,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 3.31/3.46 | X1 = X3 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10769]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1060,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5873_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10763,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1060]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10764,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.31/3.46 | X2 = X3 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10763]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1057,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5874_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10757,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.31/3.46 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1057]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10758,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.31/3.46 | X2 = X3 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10757]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1054,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Oorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5875_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10751,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Oorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1054]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10752,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10751]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1051,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5876_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10745,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1051]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10746,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10745]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1045,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Opreorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5878_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10733,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Opreorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1045]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10734,plain,
% 3.31/3.46 ( ~ class_Orderings_Opreorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10733]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1039,plain,
% 3.31/3.46 ( ~ c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5880_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10721,plain,
% 3.31/3.46 ( ~ c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1039]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10722,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | ~ c_lessequals(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10721]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1033,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_lessequals(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Opreorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5882_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10709,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ c_lessequals(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Opreorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1033]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10710,plain,
% 3.31/3.46 ( ~ class_Orderings_Opreorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | ~ c_lessequals(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10709]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1030,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | ~ c_lessequals(X1,X0,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5883_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10703,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | ~ c_lessequals(X1,X0,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1030]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10704,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_lessequals(X1,X0,tc_nat)
% 3.31/3.46 | X0 = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10703]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1028,plain,
% 3.31/3.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5885_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10699,plain,
% 3.31/3.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1028]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1026,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5886_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10695,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1026]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1020,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 3.31/3.46 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5888_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10683,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 3.31/3.46 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1020]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10684,plain,
% 3.31/3.46 ( ~ class_Divides_Osemiring__div(X0)
% 3.31/3.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10683]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1017,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 3.31/3.46 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5889_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10677,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 3.31/3.46 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1017]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10678,plain,
% 3.31/3.46 ( ~ class_Divides_Osemiring__div(X0)
% 3.31/3.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10677]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1011,plain,
% 3.31/3.46 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5891_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10665,plain,
% 3.31/3.46 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1011]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10666,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10665]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1009,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5892_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10661,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1009]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10662,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.31/3.46 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10661]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1006,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5893_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10655,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1006]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10656,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10655]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1003,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5894_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10649,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1003]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10650,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10649]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_1000,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5895_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10643,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_1000]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10644,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10643]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_997,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5896_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10637,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_997]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10638,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10637]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_994,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5897_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10631,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_994]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10632,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10631]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_988,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5900_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10619,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_988]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10620,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 3.31/3.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10619]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_985,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5901_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10613,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_985]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10614,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X0 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10613]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_983,plain,
% 3.31/3.46 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5902_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10609,plain,
% 3.31/3.46 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_983]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10610,plain,
% 3.31/3.46 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10609]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_980,plain,
% 3.31/3.46 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5903_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10603,plain,
% 3.31/3.46 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_980]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10604,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10603]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_978,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5904_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10599,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_978]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10600,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10599]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_976,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Odvd(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5905_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10595,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Odvd(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_976]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10596,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Odvd(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10595]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_974,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5906_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10591,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_974]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10592,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10591]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_972,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5907_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10587,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_972]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10588,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10587]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_970,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5908_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10583,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_970]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10584,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oring(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10583]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_968,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5909_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10579,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_968]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10580,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10579]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_966,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5910_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10575,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_966]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10576,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oring(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10575]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_964,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5911_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10571,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_964]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10572,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10571]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_962,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5913_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10567,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_962]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10568,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10567]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_959,plain,
% 3.31/3.46 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5914_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10561,plain,
% 3.31/3.46 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_959]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10562,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.31/3.46 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10561]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_956,plain,
% 3.31/3.46 ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5915_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10555,plain,
% 3.31/3.46 ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_956]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10556,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.31/3.46 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10555]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_944,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5919_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10531,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_944]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10532,plain,
% 3.31/3.46 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.31/3.46 | c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10531]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_942,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5920_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10527,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_942]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10528,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10527]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_938,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5921_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10519,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_938]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10520,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10519]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_935,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | X0 = c_Suc(X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5922_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10513,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | X0 = c_Suc(X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_935]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10514,plain,
% 3.31/3.46 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | X0 = c_Suc(X1) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10513]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_901,plain,
% 3.31/3.46 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5931_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10445,plain,
% 3.31/3.46 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_901]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_897,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5933_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10437,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_897]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_888,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X1 = X0
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5936_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10419,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X1 = X0
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_888]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10420,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X1 = X0 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10419]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_885,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X0 = X1
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5937_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10413,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X0 = X1
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_885]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10414,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X0 = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10413]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_882,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5938_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10407,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_882]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10408,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10407]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_876,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ class_Orderings_Opreorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5940_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10395,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ class_Orderings_Opreorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_876]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10396,plain,
% 3.31/3.46 ( ~ class_Orderings_Opreorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | c_lessequals(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10395]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_873,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ class_Orderings_Oorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5941_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10389,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | ~ class_Orderings_Oorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_873]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10390,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | c_lessequals(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10389]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_871,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5942_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10385,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_871]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10386,plain,
% 3.31/3.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10385]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_867,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5944_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10377,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_867]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_865,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5945_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10373,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_865]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10374,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10373]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_863,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5946_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10369,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_863]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10370,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10369]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_861,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5947_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10365,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_861]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10366,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10365]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_856,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5949_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10355,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_856]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10356,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10355]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_854,plain,
% 3.31/3.46 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5950_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10351,plain,
% 3.31/3.46 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_854]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_850,plain,
% 3.31/3.46 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5952_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10343,plain,
% 3.31/3.46 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_850]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10344,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10343]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_846,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5954_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10335,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_846]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_844,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5955_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10331,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_844]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_842,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5956_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10327,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_842]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10328,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10327]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_840,plain,
% 3.31/3.46 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5957_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10323,plain,
% 3.31/3.46 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_840]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10324,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10323]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_836,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5959_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10315,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_836]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10316,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10315]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_834,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5960_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10311,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_834]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10312,plain,
% 3.31/3.46 ( ~ class_Int_Onumber__ring(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10311]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_832,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5961_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10307,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_832]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10308,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10307]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_816,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5966_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10275,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_816]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10276,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10275]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_813,plain,
% 3.31/3.46 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5967_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10269,plain,
% 3.31/3.46 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_813]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10270,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10269]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_809,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5969_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10261,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_809]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10262,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10261]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_807,plain,
% 3.31/3.46 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5970_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10257,plain,
% 3.31/3.46 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_807]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_805,plain,
% 3.31/3.46 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5971_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10253,plain,
% 3.31/3.46 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_805]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_792,plain,
% 3.31/3.46 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.31/3.46 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5974_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10227,plain,
% 3.31/3.46 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.31/3.46 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_792]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10228,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.46 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.31/3.46 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10227]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_789,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5975_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10221,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_789]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10222,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10221]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_786,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5976_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10215,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_786]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10216,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10215]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_783,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5977_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10209,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_783]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10210,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10209]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_781,plain,
% 3.31/3.46 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_RealVector_Oreal__vector(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5978_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10205,plain,
% 3.31/3.46 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | ~ class_RealVector_Oreal__vector(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_781]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10206,plain,
% 3.31/3.46 ( ~ class_RealVector_Oreal__vector(X0)
% 3.31/3.46 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10205]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_777,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5979_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10197,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_777]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10198,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10197]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_753,plain,
% 3.31/3.46 ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5984_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10149,plain,
% 3.31/3.46 ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_753]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10150,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.31/3.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.31/3.46 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10149]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_750,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5985_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10143,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_750]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10144,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10143]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_747,plain,
% 3.31/3.46 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5986_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10137,plain,
% 3.31/3.46 ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_747]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10138,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10137]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_734,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | X1 = X2
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5990_0) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10111,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | X1 = X2
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_734]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10112,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.31/3.46 | X2 = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10111]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_731,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | X0 = X1
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5990_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10105,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | X0 = X1
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_731]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10106,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10105]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_729,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | X2 = X1
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5991_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10101,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | X2 = X1
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_729]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10102,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.31/3.46 | X2 = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10101]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_724,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5992_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10091,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_724]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10092,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10091]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_721,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5993_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10085,plain,
% 3.31/3.46 ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_721]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10086,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10085]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_718,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | c_lessequals(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5994_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10079,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | c_lessequals(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_718]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10080,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | c_lessequals(X1,X2,X0)
% 3.31/3.46 | c_lessequals(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10079]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_709,plain,
% 3.31/3.46 ( c_lessequals(X0,X0,X1)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5997_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10061,plain,
% 3.31/3.46 ( c_lessequals(X0,X0,X1)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_709]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10062,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 3.31/3.46 | c_lessequals(X1,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10061]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_706,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5998_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10055,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,X2)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.31/3.46 | ~ class_Orderings_Olinorder(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_706]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10056,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.31/3.46 | c_lessequals(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10055]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_702,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6000_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10047,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_702]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10048,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10047]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_700,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6001_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10043,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_700]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10044,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10043]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_696,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6003_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10035,plain,
% 3.31/3.46 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_696]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10036,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10035]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_693,plain,
% 3.31/3.46 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6004_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10029,plain,
% 3.31/3.46 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_693]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10030,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10029]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_690,plain,
% 3.31/3.46 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6005_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10023,plain,
% 3.31/3.46 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_690]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10024,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10023]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_688,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6006_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10019,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_688]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10020,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10019]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_685,plain,
% 3.31/3.46 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6007_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10013,plain,
% 3.31/3.46 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_685]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10014,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10013]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_683,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6008_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10009,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_683]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10010,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10009]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_681,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6009_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10005,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_681]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10006,plain,
% 3.31/3.46 ( ~ class_Int_Onumber__ring(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10005]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_679,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6010_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10001,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_679]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_10002,plain,
% 3.31/3.46 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_10001]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_677,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6011_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9997,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_677]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9998,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9997]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_673,plain,
% 3.31/3.46 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6013_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9989,plain,
% 3.31/3.46 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_673]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9990,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.31/3.46 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9989]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_671,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6014_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9985,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_671]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9986,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.31/3.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9985]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_666,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6018_0) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9975,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_666]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_663,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6018_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9969,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_663]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9970,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9969]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_662,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6019_0) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9967,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_662]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_659,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6019_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9961,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_659]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9962,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9961]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_654,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X1 = X0
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6021_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9951,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | X1 = X0
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_654]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9952,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.31/3.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.31/3.46 | X1 = X0 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9951]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_649,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6022_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9941,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_649]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9942,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9941]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_646,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6023_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9935,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_646]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9936,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.46 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9935]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_638,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 3.31/3.46 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6025_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9919,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 3.31/3.46 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_638]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9920,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.31/3.46 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9919]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_634,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6026_3) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9911,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_634]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9912,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.46 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9911]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_630,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6028_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9903,plain,
% 3.31/3.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_630]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_627,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6029_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9897,plain,
% 3.31/3.46 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_627]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9898,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.31/3.46 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9897]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_625,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6030_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9893,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_625]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9894,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9893]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_622,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6032_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9887,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_622]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9888,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 3.31/3.46 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9887]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_619,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6033_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9881,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_619]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9882,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.31/3.46 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9881]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_612,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6036_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9867,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_612]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9868,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9867]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_609,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6037_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9861,plain,
% 3.31/3.46 ( X0 = X1
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.31/3.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_609]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9862,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.46 | X1 = X2 ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9861]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_607,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6038_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9857,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_607]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9858,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9857]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_604,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6039_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9851,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_604]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9852,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9851]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_595,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6041_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9833,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_595]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9834,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9833]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_592,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6042_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9827,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_592]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9828,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9827]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_589,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6043_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9821,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_589]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9822,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9821]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_586,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6044_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9815,plain,
% 3.31/3.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.31/3.46 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_586]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9816,plain,
% 3.31/3.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.31/3.46 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9815]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_585,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6045_0) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9813,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_585]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_583,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6045_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9809,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_583]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9810,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9809]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_575,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6048_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9793,plain,
% 3.31/3.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.31/3.46 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_575]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9794,plain,
% 3.31/3.46 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.46 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9793]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_573,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6051_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9789,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_573]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9790,plain,
% 3.31/3.46 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9789]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_571,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6052_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9785,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_571]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9786,plain,
% 3.31/3.46 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9785]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_569,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6053_1) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9781,plain,
% 3.31/3.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.46 inference(copy,[status(esa)],[c_569]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9782,plain,
% 3.31/3.46 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9781]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_566,plain,
% 3.31/3.46 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 3.31/3.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6054_2) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9775,plain,
% 3.31/3.46 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 3.31/3.46 inference(copy,[status(esa)],[c_566]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_9776,plain,
% 3.31/3.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 3.31/3.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.46 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.46 inference(rewriting,[status(thm)],[c_9775]) ).
% 3.31/3.46
% 3.31/3.46 cnf(c_563,plain,
% 3.31/3.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.46 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6055_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9769,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_563]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9770,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9769]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_560,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6056_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9763,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_560]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9764,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9763]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_558,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.47 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6057_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9759,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.47 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_558]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9760,plain,
% 3.31/3.47 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 3.31/3.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9759]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_554,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6059_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9751,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_554]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9752,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9751]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_552,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6060_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9747,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_552]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9748,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9747]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_550,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6061_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9743,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_550]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9744,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9743]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_544,plain,
% 3.31/3.47 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6064_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9731,plain,
% 3.31/3.47 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_544]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9732,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.47 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9731]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_542,plain,
% 3.31/3.47 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6065_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9727,plain,
% 3.31/3.47 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_542]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9728,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 3.31/3.47 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9727]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_538,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.31/3.47 | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6066_3) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9719,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.31/3.47 | ~ class_Orderings_Olinorder(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_538]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9720,plain,
% 3.31/3.47 ( ~ class_Orderings_Olinorder(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.31/3.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9719]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_533,plain,
% 3.31/3.47 ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6070_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9709,plain,
% 3.31/3.47 ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_533]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9710,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.47 | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9709]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_528,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6072_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9699,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_528]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9700,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9699]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_522,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6074_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9687,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_522]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9688,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9687]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_519,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6078_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9681,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_519]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9682,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.31/3.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9681]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_515,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Power_Opower(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6079_3) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9673,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Power_Opower(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_515]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9674,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9673]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_512,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6080_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9667,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_512]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9668,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.31/3.47 | ~ class_Power_Opower(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9667]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_510,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6081_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9663,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_510]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9664,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9663]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_508,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6082_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9659,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_508]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9660,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9659]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_493,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6087_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9629,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_493]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9630,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9629]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_490,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6088_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9623,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_490]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9624,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9623]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_488,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6089_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9619,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_488]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9620,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.31/3.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9619]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_486,plain,
% 3.31/3.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6090_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9615,plain,
% 3.31/3.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_486]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9616,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.31/3.47 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9615]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_483,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6091_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9609,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_483]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9610,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9609]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_481,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6092_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9605,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_481]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9606,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9605]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_479,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6093_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9601,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_479]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9602,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9601]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_477,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6094_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9597,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_477]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9598,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9597]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_475,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6095_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9593,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_475]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9594,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9593]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_473,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6096_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9589,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_473]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9590,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9589]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_471,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6097_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9585,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_471]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9586,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9585]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_469,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6098_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9581,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_469]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9582,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9581]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_463,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6101_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9569,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_463]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9570,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9569]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_459,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6103_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9561,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_459]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9562,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9561]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_457,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6104_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9557,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_457]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9558,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9557]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_455,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6105_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9553,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_455]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9554,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9553]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_453,plain,
% 3.31/3.47 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__vector(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6106_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9549,plain,
% 3.31/3.47 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__vector(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_453]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9550,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__vector(X0)
% 3.31/3.47 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9549]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_451,plain,
% 3.31/3.47 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6107_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9545,plain,
% 3.31/3.47 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_451]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9546,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.31/3.47 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9545]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_449,plain,
% 3.31/3.47 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6108_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9541,plain,
% 3.31/3.47 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_449]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9542,plain,
% 3.31/3.47 ( ~ class_Divides_Osemiring__div(X0)
% 3.31/3.47 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9541]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_447,plain,
% 3.31/3.47 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6109_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9537,plain,
% 3.31/3.47 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_447]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9538,plain,
% 3.31/3.47 ( ~ class_Divides_Osemiring__div(X0)
% 3.31/3.47 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9537]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_441,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6111_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9525,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_441]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9526,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9525]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_438,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6112_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9519,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_438]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9520,plain,
% 3.31/3.47 ( ~ class_Divides_Osemiring__div(X0)
% 3.31/3.47 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9519]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_436,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.31/3.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6113_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9515,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.31/3.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_436]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_434,plain,
% 3.31/3.47 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6114_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9511,plain,
% 3.31/3.47 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_Divides_Osemiring__div(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_434]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9512,plain,
% 3.31/3.47 ( ~ class_Divides_Osemiring__div(X0)
% 3.31/3.47 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9511]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_430,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6116_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9503,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_430]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9504,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9503]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_428,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6117_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9499,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_428]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9500,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9499]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_426,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6118_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9495,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_426]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9496,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9495]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_424,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6119_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9491,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_424]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9492,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9491]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_422,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6120_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9487,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_422]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9488,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9487]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_420,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | ~ class_Power_Opower(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6121_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9483,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | ~ class_Power_Opower(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_420]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9484,plain,
% 3.31/3.47 ( ~ class_Power_Opower(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9483]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_418,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6122_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9479,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_418]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9480,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9479]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_416,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6123_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9475,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_416]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9476,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9475]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_412,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6125_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9467,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_412]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9468,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9467]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_410,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6126_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9463,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_410]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9464,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9463]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_408,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6127_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9459,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_408]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9460,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9459]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_406,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6128_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9455,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_406]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9456,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9455]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_404,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6129_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9451,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_404]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9452,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9451]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_402,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6130_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9447,plain,
% 3.31/3.47 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_402]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9448,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.31/3.47 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9447]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_400,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6131_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9443,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_400]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9444,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9443]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_398,plain,
% 3.31/3.47 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6133_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9439,plain,
% 3.31/3.47 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_398]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9440,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9439]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_396,plain,
% 3.31/3.47 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6134_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9435,plain,
% 3.31/3.47 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_396]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9436,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9435]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_394,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6135_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9431,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_394]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9432,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9431]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_392,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6136_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9427,plain,
% 3.31/3.47 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_392]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9428,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.31/3.47 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9427]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_388,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6138_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9419,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_388]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9420,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9419]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_386,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6139_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9415,plain,
% 3.31/3.47 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_386]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9416,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.31/3.47 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9415]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_381,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | X0 = X2
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6141_4) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9405,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | X0 = X2
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_381]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9406,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = X2 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9405]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_379,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6142_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9401,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_379]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9402,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.31/3.47 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9401]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_377,plain,
% 3.31/3.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6145_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9397,plain,
% 3.31/3.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_377]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9398,plain,
% 3.31/3.47 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9397]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_375,plain,
% 3.31/3.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6146_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9393,plain,
% 3.31/3.47 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_375]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9394,plain,
% 3.31/3.47 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9393]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_373,plain,
% 3.31/3.47 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6147_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9389,plain,
% 3.31/3.47 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_373]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9390,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.31/3.47 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9389]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_371,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6151_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9385,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_371]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9386,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9385]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_369,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6152_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9381,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_369]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9382,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9381]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_367,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6153_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9377,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_367]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9378,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9377]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_363,plain,
% 3.31/3.47 ( X0 = X1
% 3.31/3.47 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X2)
% 3.31/3.47 | ~ class_Int_Oring__char__0(X2) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6154_3) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9369,plain,
% 3.31/3.47 ( X0 = X1
% 3.31/3.47 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X2)
% 3.31/3.47 | ~ class_Int_Oring__char__0(X2) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_363]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9370,plain,
% 3.31/3.47 ( ~ class_Int_Oring__char__0(X0)
% 3.31/3.47 | ~ class_Int_Onumber__ring(X0)
% 3.31/3.47 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.31/3.47 | X1 = X2 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9369]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_357,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6156_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9357,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.31/3.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_357]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9358,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.31/3.47 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9357]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_351,plain,
% 3.31/3.47 ( X0 = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6167_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9345,plain,
% 3.31/3.47 ( X0 = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_351]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9346,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.31/3.47 | X1 = X2 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9345]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_348,plain,
% 3.31/3.47 ( X0 = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.31/3.47 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6168_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9339,plain,
% 3.31/3.47 ( X0 = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.31/3.47 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_348]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9340,plain,
% 3.31/3.47 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.31/3.47 | X1 = X2 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9339]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_345,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6169_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9333,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_345]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9334,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9333]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_343,plain,
% 3.31/3.47 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 3.31/3.47 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6173_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9329,plain,
% 3.31/3.47 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 3.31/3.47 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_343]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_331,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.31/3.47 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6177_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9305,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.31/3.47 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_331]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9306,plain,
% 3.31/3.47 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9305]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_325,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6180_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9293,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_325]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9294,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9293]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_322,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6181_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9287,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_322]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9288,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9287]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_319,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6182_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9281,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_319]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9282,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9281]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_316,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6183_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9275,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_316]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9276,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9275]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_313,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6184_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9269,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_313]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9270,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9269]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_310,plain,
% 3.31/3.47 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6185_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9263,plain,
% 3.31/3.47 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_310]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9264,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ozero__class_Ozero(X0) = X1
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9263]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_307,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6186_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9257,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_307]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9258,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9257]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_305,plain,
% 3.31/3.47 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6187_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9253,plain,
% 3.31/3.47 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_305]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9254,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.31/3.47 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9253]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_296,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 3.31/3.47 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6190_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9235,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 3.31/3.47 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_296]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9236,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9235]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_293,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ c_Int_Oiszero(X0,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6191_2) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9229,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.31/3.47 | ~ c_Int_Oiszero(X0,X1)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_293]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9230,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.31/3.47 | ~ c_Int_Oiszero(X1,X0)
% 3.31/3.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9229]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_291,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.31/3.47 | c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6192_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9225,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.31/3.47 | c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_291]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9226,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 3.31/3.47 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9225]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_289,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6193_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9221,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_289]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9222,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9221]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_287,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6194_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9217,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_287]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9218,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9217]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_285,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6195_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9213,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_285]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9214,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9213]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_283,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6196_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9209,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_283]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9210,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9209]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_279,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6198_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9201,plain,
% 3.31/3.47 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_279]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9202,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.31/3.47 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9201]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_277,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6199_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9197,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_277]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9198,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9197]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_275,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6200_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9193,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_275]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9194,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9193]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_273,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6201_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9189,plain,
% 3.31/3.47 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_273]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9190,plain,
% 3.31/3.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.31/3.47 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9189]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_271,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6202_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9185,plain,
% 3.31/3.47 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_271]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9186,plain,
% 3.31/3.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.31/3.47 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9185]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_269,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6203_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9181,plain,
% 3.31/3.47 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_269]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9182,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.31/3.47 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9181]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_267,plain,
% 3.31/3.47 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6204_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9177,plain,
% 3.31/3.47 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_267]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9178,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.31/3.47 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9177]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_263,plain,
% 3.31/3.47 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6207_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9169,plain,
% 3.31/3.47 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.31/3.47 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_263]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9170,plain,
% 3.31/3.47 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.31/3.47 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9169]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_261,plain,
% 3.31/3.47 ( X0 = X1 | c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6209_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9165,plain,
% 3.31/3.47 ( X0 = X1 | c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_261]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9166,plain,
% 3.31/3.47 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9165]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_257,plain,
% 3.31/3.47 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6211_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9157,plain,
% 3.31/3.47 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_257]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9158,plain,
% 3.31/3.47 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9157]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_255,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.31/3.47 | c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6212_1) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9153,plain,
% 3.31/3.47 ( X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.31/3.47 | c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_255]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9154,plain,
% 3.31/3.47 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 3.31/3.47 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(rewriting,[status(thm)],[c_9153]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_253,plain,
% 3.31/3.47 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6049_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9149,plain,
% 3.31/3.47 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_253]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_252,plain,
% 3.31/3.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6050_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9147,plain,
% 3.31/3.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_252]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_250,plain,
% 3.31/3.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6069_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9143,plain,
% 3.31/3.47 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_250]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_248,plain,
% 3.31/3.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6077_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9139,plain,
% 3.31/3.47 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_248]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_247,plain,
% 3.31/3.47 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6205_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9137,plain,
% 3.31/3.47 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_247]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_246,plain,
% 3.31/3.47 ( c_FFT__Mirabelle_Oroot(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6214_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9135,plain,
% 3.31/3.47 ( c_FFT__Mirabelle_Oroot(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_246]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_242,plain,
% 3.31/3.47 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6218_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9127,plain,
% 3.31/3.47 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_242]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_240,plain,
% 3.31/3.47 ( c_Suc(X0) != X0 ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6223_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9123,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_240]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_239,plain,
% 3.31/3.47 ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6224_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9121,plain,
% 3.31/3.47 ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 3.31/3.47 inference(copy,[status(esa)],[c_239]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_238,plain,
% 3.31/3.47 ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6225_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9119,plain,
% 3.31/3.47 ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 3.31/3.47 inference(copy,[status(esa)],[c_238]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_237,plain,
% 3.31/3.47 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5553_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9117,plain,
% 3.31/3.47 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_237]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_232,plain,
% 3.31/3.47 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_5918_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9110,plain,
% 3.31/3.47 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_232]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_231,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6015_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9108,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_231]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_230,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6016_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9106,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_230]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_229,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6031_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9104,plain,
% 3.31/3.47 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_229]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_226,plain,
% 3.31/3.47 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6140_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9099,plain,
% 3.31/3.47 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_226]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_224,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6144_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9095,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_224]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_220,plain,
% 3.31/3.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6157_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9090,plain,
% 3.31/3.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_220]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_218,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6159_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9086,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_218]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_213,plain,
% 3.31/3.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6164_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9080,plain,
% 3.31/3.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_213]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_212,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_k,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6166_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9078,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_k,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_212]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_210,plain,
% 3.31/3.47 ( c_lessequals(X0,X0,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6171_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9074,plain,
% 3.31/3.47 ( c_lessequals(X0,X0,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_210]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_209,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6172_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9072,plain,
% 3.31/3.47 ( c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_209]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_208,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6208_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9070,plain,
% 3.31/3.47 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_208]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_203,plain,
% 3.31/3.47 ( class_Int_Onumber(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6226_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9064,plain,
% 3.31/3.47 ( class_Int_Onumber(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_203]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_202,plain,
% 3.31/3.47 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6227_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9062,plain,
% 3.31/3.47 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_202]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_201,plain,
% 3.31/3.47 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6228_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9060,plain,
% 3.31/3.47 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_201]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_200,plain,
% 3.31/3.47 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6229_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9058,plain,
% 3.31/3.47 ( class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_200]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_199,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6230_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9056,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_199]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_198,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6231_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9054,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_198]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_197,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6232_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9052,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_197]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_196,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6233_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9050,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_196]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_195,plain,
% 3.31/3.47 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6234_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9048,plain,
% 3.31/3.47 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_195]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_194,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6235_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9046,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_194]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_193,plain,
% 3.31/3.47 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6236_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9044,plain,
% 3.31/3.47 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_193]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_192,plain,
% 3.31/3.47 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6237_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9042,plain,
% 3.31/3.47 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_192]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_191,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6238_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9040,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_191]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_190,plain,
% 3.31/3.47 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6239_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9038,plain,
% 3.31/3.47 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_190]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_189,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6240_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9036,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_189]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_188,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6241_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9034,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_188]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_187,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6242_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9032,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_187]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_186,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6243_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9030,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_186]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_185,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6244_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9028,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_185]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_184,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6245_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9026,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_184]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_183,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6246_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9024,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_183]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_182,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6247_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9022,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_182]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_181,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6248_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9020,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_181]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_180,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6249_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9018,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_180]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_179,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6250_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9016,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_179]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_178,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6251_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9014,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_178]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_177,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6252_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9012,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_177]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_176,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6253_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9010,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_176]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_175,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6254_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9008,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_175]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_174,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6255_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9006,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_174]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_173,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6256_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9004,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_173]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_172,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6257_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9002,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_172]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_171,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6258_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_9000,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_171]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_170,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6259_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8998,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_170]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_169,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6260_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8996,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_169]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_168,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6261_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8994,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_168]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_167,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6262_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8992,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_167]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_166,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6263_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8990,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_166]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_165,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6264_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8988,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_165]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_164,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6265_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8986,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_164]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_163,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6266_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8984,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_163]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_162,plain,
% 3.31/3.47 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6267_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8982,plain,
% 3.31/3.47 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_162]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_161,plain,
% 3.31/3.47 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6268_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8980,plain,
% 3.31/3.47 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_161]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_160,plain,
% 3.31/3.47 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6269_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8978,plain,
% 3.31/3.47 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_160]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_159,plain,
% 3.31/3.47 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6270_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8976,plain,
% 3.31/3.47 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_159]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_158,plain,
% 3.31/3.47 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6271_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8974,plain,
% 3.31/3.47 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_158]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_157,plain,
% 3.31/3.47 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6272_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8972,plain,
% 3.31/3.47 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_157]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_156,plain,
% 3.31/3.47 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6273_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8970,plain,
% 3.31/3.47 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_156]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_155,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6274_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8968,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_155]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_154,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6275_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8966,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_154]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_153,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6276_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8964,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_153]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_152,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6277_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8962,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_152]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_151,plain,
% 3.31/3.47 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6278_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8960,plain,
% 3.31/3.47 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_151]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_150,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6279_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8958,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_150]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_149,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6280_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8956,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_149]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_148,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6281_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8954,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_148]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_147,plain,
% 3.31/3.47 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6282_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8952,plain,
% 3.31/3.47 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_147]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_146,plain,
% 3.31/3.47 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6283_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8950,plain,
% 3.31/3.47 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_146]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_145,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6284_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8948,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_145]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_144,plain,
% 3.31/3.47 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6285_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8946,plain,
% 3.31/3.47 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_144]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_143,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6286_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8944,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_143]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_142,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6287_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8942,plain,
% 3.31/3.47 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_142]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_141,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6288_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8940,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_141]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_140,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6289_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8938,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_140]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_139,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6290_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8936,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_139]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_138,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6291_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8934,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_138]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_137,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6292_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8932,plain,
% 3.31/3.47 ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_137]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_136,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6293_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8930,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_136]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_135,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6294_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8928,plain,
% 3.31/3.47 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_135]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_134,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6295_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8926,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_134]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_133,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6296_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8924,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_133]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_132,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6297_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8922,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_132]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_131,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6298_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8920,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_131]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_130,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6299_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8918,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_130]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_129,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6300_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8916,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_129]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_128,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6301_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8914,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_128]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_127,plain,
% 3.31/3.47 ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6302_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8912,plain,
% 3.31/3.47 ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_127]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_126,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6303_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8910,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_126]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_125,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6304_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8908,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_125]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_124,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6305_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8906,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_124]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_123,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6306_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8904,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_123]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_122,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6307_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8902,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_122]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_121,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6308_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8900,plain,
% 3.31/3.47 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_121]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_120,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6309_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8898,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_120]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_119,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6310_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8896,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_119]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_118,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6311_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8894,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_118]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_117,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6312_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8892,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_117]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_116,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6313_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8890,plain,
% 3.31/3.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_116]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_115,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6314_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8888,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_115]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_114,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6315_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8886,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_114]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_113,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6316_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8884,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_113]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_112,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6317_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8882,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_112]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_111,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6318_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8880,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_111]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_110,plain,
% 3.31/3.47 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6319_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8878,plain,
% 3.31/3.47 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_110]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_109,plain,
% 3.31/3.47 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6320_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8876,plain,
% 3.31/3.47 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_109]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_108,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6321_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8874,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_108]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_107,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6322_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8872,plain,
% 3.31/3.47 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_107]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_106,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6323_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8870,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_106]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_105,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6324_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8868,plain,
% 3.31/3.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_105]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_104,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6325_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8866,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_104]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_103,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6326_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8864,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_103]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_102,plain,
% 3.31/3.47 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6327_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8862,plain,
% 3.31/3.47 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_102]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_101,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6328_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8860,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_101]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_100,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6329_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8858,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_100]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_99,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6330_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8856,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_99]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_98,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6331_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8854,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_98]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_97,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6332_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8852,plain,
% 3.31/3.47 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_97]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_96,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6333_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8850,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_96]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_95,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6334_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8848,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_95]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_94,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6335_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8846,plain,
% 3.31/3.47 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_94]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_93,plain,
% 3.31/3.47 ( class_Int_Onumber(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6336_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8844,plain,
% 3.31/3.47 ( class_Int_Onumber(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_93]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_92,plain,
% 3.31/3.47 ( class_Power_Opower(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6337_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8842,plain,
% 3.31/3.47 ( class_Power_Opower(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_92]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_91,plain,
% 3.31/3.47 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6338_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8840,plain,
% 3.31/3.47 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_91]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_90,plain,
% 3.31/3.47 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6339_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8838,plain,
% 3.31/3.47 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_90]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_89,plain,
% 3.31/3.47 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6340_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8836,plain,
% 3.31/3.47 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_89]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_88,plain,
% 3.31/3.47 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6341_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8834,plain,
% 3.31/3.47 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_88]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_87,plain,
% 3.31/3.47 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6342_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8832,plain,
% 3.31/3.47 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_87]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_86,plain,
% 3.31/3.47 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6343_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8830,plain,
% 3.31/3.47 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_86]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_85,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6344_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8828,plain,
% 3.31/3.47 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_85]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_84,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6345_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8826,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_84]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_83,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6346_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8824,plain,
% 3.31/3.47 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 3.31/3.47 inference(copy,[status(esa)],[c_83]) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_82,plain,
% 3.31/3.47 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 3.31/3.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6347_0) ).
% 3.31/3.47
% 3.31/3.47 cnf(c_8822,plain,
% 3.31/3.48 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_82]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_81,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6348_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8820,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_81]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_80,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6349_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8818,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_80]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_79,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osgn__if(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6350_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8816,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osgn__if(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_79]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_78,plain,
% 3.31/3.48 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6351_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8814,plain,
% 3.31/3.48 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_78]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_77,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6352_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8812,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_77]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_76,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6353_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8810,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_76]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_75,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6354_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8808,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_75]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_74,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6355_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8806,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_74]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_73,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6356_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8804,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_73]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_72,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6357_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8802,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_72]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_71,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6358_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8800,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_71]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_70,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6359_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8798,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_70]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_69,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6360_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8796,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_69]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_68,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6361_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8794,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_68]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_67,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6362_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8792,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_67]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_66,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6363_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8790,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_66]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_65,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6364_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8788,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_65]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_64,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6365_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8786,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_64]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_63,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6366_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8784,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_63]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_62,plain,
% 3.31/3.48 ( class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6367_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8782,plain,
% 3.31/3.48 ( class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_62]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_61,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6368_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8780,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_61]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_60,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6369_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8778,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_60]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_59,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6370_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8776,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_59]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_58,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6371_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8774,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_58]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_57,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6372_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8772,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_57]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_56,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6373_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8770,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_56]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_55,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6374_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8768,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_55]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_54,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6375_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8766,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_54]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_53,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6376_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8764,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_53]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_52,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6377_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8762,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_52]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_51,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6378_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8760,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_51]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_50,plain,
% 3.31/3.48 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6379_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8758,plain,
% 3.31/3.48 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_50]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_49,plain,
% 3.31/3.48 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6380_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8756,plain,
% 3.31/3.48 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_49]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_48,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6381_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8754,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_48]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_47,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6382_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8752,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_47]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_46,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6383_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8750,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_46]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_45,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6384_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8748,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_45]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_44,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6385_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8746,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_44]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_43,plain,
% 3.31/3.48 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6386_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8744,plain,
% 3.31/3.48 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_43]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_42,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6387_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8742,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_42]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_41,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6388_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8740,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_41]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_40,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6389_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8738,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_40]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_39,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6390_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8736,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_39]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_38,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6391_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8734,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_38]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_37,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6392_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8732,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_37]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_36,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6393_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8730,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_36]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_35,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6394_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8728,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_35]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_34,plain,
% 3.31/3.48 ( class_Int_Onumber(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6395_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8726,plain,
% 3.31/3.48 ( class_Int_Onumber(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_34]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_33,plain,
% 3.31/3.48 ( class_Power_Opower(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6396_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8724,plain,
% 3.31/3.48 ( class_Power_Opower(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_33]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_32,plain,
% 3.31/3.48 ( class_Orderings_Oorder(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6397_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8722,plain,
% 3.31/3.48 ( class_Orderings_Oorder(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_32]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_31,plain,
% 3.31/3.48 ( class_Orderings_Olinorder(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6398_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8720,plain,
% 3.31/3.48 ( class_Orderings_Olinorder(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_31]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_30,plain,
% 3.31/3.48 ( class_Orderings_Opreorder(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6399_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8718,plain,
% 3.31/3.48 ( class_Orderings_Opreorder(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_30]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_29,plain,
% 3.31/3.48 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6400_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8716,plain,
% 3.31/3.48 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_29]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_28,plain,
% 3.31/3.48 ( class_Divides_Osemiring__div(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6401_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8714,plain,
% 3.31/3.48 ( class_Divides_Osemiring__div(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_28]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_27,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6402_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8712,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_27]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_26,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6403_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8710,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_26]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_25,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6404_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8708,plain,
% 3.31/3.48 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_25]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_24,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6405_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8706,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_24]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_23,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6406_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8704,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_23]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_22,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6407_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8702,plain,
% 3.31/3.48 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_22]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_21,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6408_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8700,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_21]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_20,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6409_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8698,plain,
% 3.31/3.48 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_20]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_19,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6410_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8696,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_19]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_18,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6411_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8694,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_18]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_17,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6412_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8692,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_17]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_16,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6413_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8690,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_16]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_15,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6414_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8688,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_15]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_14,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6415_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8686,plain,
% 3.31/3.48 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_14]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_13,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6416_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8684,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_13]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_12,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6417_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8682,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_12]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_11,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6418_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8680,plain,
% 3.31/3.48 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_11]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_10,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6419_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8678,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_10]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_9,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6420_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8676,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_9]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6421_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8674,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_8]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_7,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6422_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8672,plain,
% 3.31/3.48 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_7]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_6,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6423_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8670,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_6]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_5,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6424_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8668,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_5]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_4,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6425_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8666,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_4]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_3,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6426_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8664,plain,
% 3.31/3.48 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_3]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_2,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6427_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8662,plain,
% 3.31/3.48 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_2]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_1,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6428_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8660,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_1]) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_0,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.31/3.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d823bd.p', c_0_6429_0) ).
% 3.31/3.48
% 3.31/3.48 cnf(c_8658,plain,
% 3.31/3.48 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.31/3.48 inference(copy,[status(esa)],[c_0]) ).
% 3.31/3.48
% 3.31/3.48
% 3.31/3.48
% 3.31/3.48 % ------ Statistics
% 3.31/3.48
% 3.31/3.48 % ------ General
% 3.31/3.48
% 3.31/3.48 % num_of_input_clauses: 3909
% 3.31/3.48 % num_of_input_neg_conjectures: 1
% 3.31/3.48 % num_of_splits: 0
% 3.31/3.48 % num_of_split_atoms: 0
% 3.31/3.48 % num_of_sem_filtered_clauses: 0
% 3.31/3.48 % num_of_subtypes: 0
% 3.31/3.48 % monotx_restored_types: 0
% 3.31/3.48 % sat_num_of_epr_types: 0
% 3.31/3.48 % sat_num_of_non_cyclic_types: 0
% 3.31/3.48 % sat_guarded_non_collapsed_types: 0
% 3.31/3.48 % is_epr: 0
% 3.31/3.48 % is_horn: 0
% 3.31/3.48 % has_eq: 1
% 3.31/3.48 % num_pure_diseq_elim: 0
% 3.31/3.48 % simp_replaced_by: 0
% 3.31/3.48 % res_preprocessed: 2
% 3.31/3.48 % prep_upred: 0
% 3.31/3.48 % prep_unflattend: 0
% 3.31/3.48 % pred_elim_cands: 0
% 3.31/3.48 % pred_elim: 0
% 3.31/3.48 % pred_elim_cl: 0
% 3.31/3.48 % pred_elim_cycles: 0
% 3.31/3.48 % forced_gc_time: 0
% 3.31/3.48 % gc_basic_clause_elim: 0
% 3.31/3.48 % parsing_time: 0.153
% 3.31/3.48 % sem_filter_time: 0.
% 3.31/3.48 % pred_elim_time: 0.
% 3.31/3.48 % out_proof_time: 0.
% 3.31/3.48 % monotx_time: 0.
% 3.31/3.48 % subtype_inf_time: 0.
% 3.31/3.48 % unif_index_cands_time: 0.
% 3.31/3.48 % unif_index_add_time: 0.002
% 3.31/3.48 % total_time: 1.144
% 3.31/3.48 % num_of_symbols: 127
% 3.31/3.48 % num_of_terms: 5298
% 3.31/3.48
% 3.31/3.48 % ------ Propositional Solver
% 3.31/3.48
% 3.31/3.48 % prop_solver_calls: 1
% 3.31/3.48 % prop_fast_solver_calls: 3
% 3.31/3.48 % prop_num_of_clauses: 3140
% 3.31/3.48 % prop_preprocess_simplified: 12064
% 3.31/3.48 % prop_fo_subsumed: 0
% 3.31/3.48 % prop_solver_time: 0.
% 3.31/3.48 % prop_fast_solver_time: 0.
% 3.31/3.48 % prop_unsat_core_time: 0.
% 3.31/3.48
% 3.31/3.48 % ------ QBF
% 3.31/3.48
% 3.31/3.48 % qbf_q_res: 0
% 3.31/3.48 % qbf_num_tautologies: 0
% 3.31/3.48 % qbf_prep_cycles: 0
% 3.31/3.48
% 3.31/3.48 % ------ BMC1
% 3.31/3.48
% 3.31/3.48 % bmc1_current_bound: -1
% 3.31/3.48 % bmc1_last_solved_bound: -1
% 3.31/3.48 % bmc1_unsat_core_size: -1
% 3.31/3.48 % bmc1_unsat_core_parents_size: -1
% 3.31/3.48 % bmc1_merge_next_fun: 0
% 3.31/3.48 % bmc1_unsat_core_clauses_time: 0.
% 3.31/3.48
% 3.31/3.48 % ------ Instantiation
% 3.31/3.48
% 3.31/3.48 % inst_num_of_clauses: 3639
% 3.31/3.48 % inst_num_in_passive: 0
% 3.31/3.48 % inst_num_in_active: 0
% 3.31/3.48 % inst_num_in_unprocessed: 3909
% 3.31/3.48 % inst_num_of_loops: 0
% 3.31/3.48 % inst_num_of_learning_restarts: 0
% 3.31/3.48 % inst_num_moves_active_passive: 0
% 3.31/3.48 % inst_lit_activity: 0
% 3.31/3.48 % inst_lit_activity_moves: 0
% 3.31/3.48 % inst_num_tautologies: 0
% 3.31/3.48 % inst_num_prop_implied: 0
% 3.31/3.48 % inst_num_existing_simplified: 0
% 3.31/3.48 % inst_num_eq_res_simplified: 0
% 3.31/3.48 % inst_num_child_elim: 0
% 3.31/3.48 % inst_num_of_dismatching_blockings: 0
% 3.31/3.48 % inst_num_of_non_proper_insts: 0
% 3.31/3.48 % inst_num_of_duplicates: 0
% 3.31/3.48 % inst_inst_num_from_inst_to_res: 0
% 3.31/3.48 % inst_dismatching_checking_time: 0.
% 3.31/3.48
% 3.31/3.48 % ------ Resolution
% 3.31/3.48
% 3.31/3.48 % res_num_of_clauses: 4021
% 3.31/3.48 % res_num_in_passive: 0
% 3.31/3.48 % res_num_in_active: 1255
% 3.31/3.48 % res_num_of_loops: 2
% 3.31/3.48 % res_forward_subset_subsumed: 2639
% 3.31/3.48 % res_backward_subset_subsumed: 0
% 3.31/3.48 % res_forward_subsumed: 0
% 3.31/3.48 % res_backward_subsumed: 0
% 3.31/3.48 % res_forward_subsumption_resolution: 0
% 3.31/3.48 % res_backward_subsumption_resolution: 0
% 3.31/3.48 % res_clause_to_clause_subsumption: 0
% 3.31/3.48 % res_orphan_elimination: 0
% 3.31/3.48 % res_tautology_del: 0
% 3.31/3.48 % res_num_eq_res_simplified: 0
% 3.31/3.48 % res_num_sel_changes: 0
% 3.31/3.48 % res_moves_from_active_to_pass: 0
% 3.31/3.48
% 3.31/3.48 % Status Unknown
% 3.31/3.48 % Last status :
% 3.31/3.48 % SZS status Unknown
%------------------------------------------------------------------------------