TSTP Solution File: LCL855-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL855-1 : 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 : Sun Jul 17 11:40:50 EDT 2022
% Result : Unknown 152.25s 152.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : LCL855-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.14 % Command : iprover_modulo %s %d
% 0.14/0.37 % Computer : n008.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sun Jul 3 07:23:08 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.14/0.38 % Running in mono-core mode
% 0.23/0.48 % Orienting using strategy Equiv(ClausalAll)
% 0.23/0.48 % Orientation found
% 0.23/0.48 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_74b79a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0b5a46 | grep -v "SZS"
% 0.23/0.50
% 0.23/0.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.23/0.50
% 0.23/0.50 %
% 0.23/0.50 % ------ iProver source info
% 0.23/0.50
% 0.23/0.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.23/0.50 % git: non_committed_changes: true
% 0.23/0.50 % git: last_make_outside_of_git: true
% 0.23/0.50
% 0.23/0.50 %
% 0.23/0.50 % ------ Input Options
% 0.23/0.50
% 0.23/0.50 % --out_options all
% 0.23/0.50 % --tptp_safe_out true
% 0.23/0.50 % --problem_path ""
% 0.23/0.50 % --include_path ""
% 0.23/0.50 % --clausifier .//eprover
% 0.23/0.50 % --clausifier_options --tstp-format
% 0.23/0.50 % --stdin false
% 0.23/0.50 % --dbg_backtrace false
% 0.23/0.50 % --dbg_dump_prop_clauses false
% 0.23/0.50 % --dbg_dump_prop_clauses_file -
% 0.23/0.50 % --dbg_out_stat false
% 0.23/0.50
% 0.23/0.50 % ------ General Options
% 0.23/0.50
% 0.23/0.50 % --fof false
% 0.23/0.50 % --time_out_real 150.
% 0.23/0.50 % --time_out_prep_mult 0.2
% 0.23/0.50 % --time_out_virtual -1.
% 0.23/0.50 % --schedule none
% 0.23/0.50 % --ground_splitting input
% 0.23/0.50 % --splitting_nvd 16
% 0.23/0.50 % --non_eq_to_eq false
% 0.23/0.50 % --prep_gs_sim true
% 0.23/0.50 % --prep_unflatten false
% 0.23/0.50 % --prep_res_sim true
% 0.23/0.50 % --prep_upred true
% 0.23/0.50 % --res_sim_input true
% 0.23/0.50 % --clause_weak_htbl true
% 0.23/0.50 % --gc_record_bc_elim false
% 0.23/0.50 % --symbol_type_check false
% 0.23/0.50 % --clausify_out false
% 0.23/0.50 % --large_theory_mode false
% 0.23/0.50 % --prep_sem_filter none
% 0.23/0.50 % --prep_sem_filter_out false
% 0.23/0.50 % --preprocessed_out false
% 0.23/0.50 % --sub_typing false
% 0.23/0.50 % --brand_transform false
% 0.23/0.50 % --pure_diseq_elim true
% 0.23/0.50 % --min_unsat_core false
% 0.23/0.50 % --pred_elim true
% 0.23/0.50 % --add_important_lit false
% 0.23/0.50 % --soft_assumptions false
% 0.23/0.51 % --reset_solvers false
% 0.23/0.51 % --bc_imp_inh []
% 0.23/0.51 % --conj_cone_tolerance 1.5
% 0.23/0.51 % --prolific_symb_bound 500
% 0.23/0.51 % --lt_threshold 2000
% 0.23/0.51
% 0.23/0.51 % ------ SAT Options
% 0.23/0.51
% 0.23/0.51 % --sat_mode false
% 0.23/0.51 % --sat_fm_restart_options ""
% 0.23/0.51 % --sat_gr_def false
% 0.23/0.51 % --sat_epr_types true
% 0.23/0.51 % --sat_non_cyclic_types false
% 0.23/0.51 % --sat_finite_models false
% 0.23/0.51 % --sat_fm_lemmas false
% 0.23/0.51 % --sat_fm_prep false
% 0.23/0.51 % --sat_fm_uc_incr true
% 0.23/0.51 % --sat_out_model small
% 0.23/0.51 % --sat_out_clauses false
% 0.23/0.51
% 0.23/0.51 % ------ QBF Options
% 0.23/0.51
% 0.23/0.51 % --qbf_mode false
% 0.23/0.51 % --qbf_elim_univ true
% 0.23/0.51 % --qbf_sk_in true
% 0.23/0.51 % --qbf_pred_elim true
% 0.23/0.51 % --qbf_split 32
% 0.23/0.51
% 0.23/0.51 % ------ BMC1 Options
% 0.23/0.51
% 0.23/0.51 % --bmc1_incremental false
% 0.23/0.51 % --bmc1_axioms reachable_all
% 0.23/0.51 % --bmc1_min_bound 0
% 0.23/0.51 % --bmc1_max_bound -1
% 0.23/0.51 % --bmc1_max_bound_default -1
% 0.23/0.51 % --bmc1_symbol_reachability true
% 0.23/0.51 % --bmc1_property_lemmas false
% 0.23/0.51 % --bmc1_k_induction false
% 0.23/0.51 % --bmc1_non_equiv_states false
% 0.23/0.51 % --bmc1_deadlock false
% 0.23/0.51 % --bmc1_ucm false
% 0.23/0.51 % --bmc1_add_unsat_core none
% 0.23/0.51 % --bmc1_unsat_core_children false
% 0.23/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.23/0.51 % --bmc1_out_stat full
% 0.23/0.51 % --bmc1_ground_init false
% 0.23/0.51 % --bmc1_pre_inst_next_state false
% 0.23/0.51 % --bmc1_pre_inst_state false
% 0.23/0.51 % --bmc1_pre_inst_reach_state false
% 0.23/0.51 % --bmc1_out_unsat_core false
% 0.23/0.51 % --bmc1_aig_witness_out false
% 0.23/0.51 % --bmc1_verbose false
% 0.23/0.51 % --bmc1_dump_clauses_tptp false
% 150.27/150.51 % --bmc1_dump_unsat_core_tptp false
% 150.27/150.51 % --bmc1_dump_file -
% 150.27/150.51 % --bmc1_ucm_expand_uc_limit 128
% 150.27/150.51 % --bmc1_ucm_n_expand_iterations 6
% 150.27/150.51 % --bmc1_ucm_extend_mode 1
% 150.27/150.51 % --bmc1_ucm_init_mode 2
% 150.27/150.51 % --bmc1_ucm_cone_mode none
% 150.27/150.51 % --bmc1_ucm_reduced_relation_type 0
% 150.27/150.51 % --bmc1_ucm_relax_model 4
% 150.27/150.51 % --bmc1_ucm_full_tr_after_sat true
% 150.27/150.51 % --bmc1_ucm_expand_neg_assumptions false
% 150.27/150.51 % --bmc1_ucm_layered_model none
% 150.27/150.51 % --bmc1_ucm_max_lemma_size 10
% 150.27/150.51
% 150.27/150.51 % ------ AIG Options
% 150.27/150.51
% 150.27/150.51 % --aig_mode false
% 150.27/150.51
% 150.27/150.51 % ------ Instantiation Options
% 150.27/150.51
% 150.27/150.51 % --instantiation_flag true
% 150.27/150.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.27/150.51 % --inst_solver_per_active 750
% 150.27/150.51 % --inst_solver_calls_frac 0.5
% 150.27/150.51 % --inst_passive_queue_type priority_queues
% 150.27/150.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.27/150.51 % --inst_passive_queues_freq [25;2]
% 150.27/150.51 % --inst_dismatching true
% 150.27/150.51 % --inst_eager_unprocessed_to_passive true
% 150.27/150.51 % --inst_prop_sim_given true
% 150.27/150.51 % --inst_prop_sim_new false
% 150.27/150.51 % --inst_orphan_elimination true
% 150.27/150.51 % --inst_learning_loop_flag true
% 150.27/150.51 % --inst_learning_start 3000
% 150.27/150.51 % --inst_learning_factor 2
% 150.27/150.51 % --inst_start_prop_sim_after_learn 3
% 150.27/150.51 % --inst_sel_renew solver
% 150.27/150.51 % --inst_lit_activity_flag true
% 150.27/150.51 % --inst_out_proof true
% 150.27/150.51
% 150.27/150.51 % ------ Resolution Options
% 150.27/150.51
% 150.27/150.51 % --resolution_flag true
% 150.27/150.51 % --res_lit_sel kbo_max
% 150.27/150.51 % --res_to_prop_solver none
% 150.27/150.51 % --res_prop_simpl_new false
% 150.27/150.51 % --res_prop_simpl_given false
% 150.27/150.51 % --res_passive_queue_type priority_queues
% 150.27/150.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.27/150.51 % --res_passive_queues_freq [15;5]
% 150.27/150.51 % --res_forward_subs full
% 150.27/150.51 % --res_backward_subs full
% 150.27/150.51 % --res_forward_subs_resolution true
% 150.27/150.51 % --res_backward_subs_resolution true
% 150.27/150.51 % --res_orphan_elimination false
% 150.27/150.51 % --res_time_limit 1000.
% 150.27/150.51 % --res_out_proof true
% 150.27/150.51 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_74b79a.s
% 150.27/150.51 % --modulo true
% 150.27/150.51
% 150.27/150.51 % ------ Combination Options
% 150.27/150.51
% 150.27/150.51 % --comb_res_mult 1000
% 150.27/150.51 % --comb_inst_mult 300
% 150.27/150.51 % ------
% 150.27/150.51
% 150.27/150.51 % ------ Parsing...% successful
% 150.27/150.51
% 150.27/150.51 % ------ 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 %
% 150.27/150.51
% 150.27/150.51 % ------ Proving...
% 150.27/150.51 % ------ Problem Properties
% 150.27/150.51
% 150.27/150.51 %
% 150.27/150.51 % EPR false
% 150.27/150.51 % Horn false
% 150.27/150.51 % Has equality true
% 150.27/150.51
% 150.27/150.51 % % ------ Input Options Time Limit: Unbounded
% 150.27/150.51
% 150.27/150.51
% 150.27/150.51 Compiling...
% 150.27/150.51 Loading plugin: done.
% 150.27/150.51 %
% 150.27/150.51
% 150.27/150.51
% 150.27/150.51 % Time Out Real
% 150.27/150.51
% 150.27/150.51 % ------ Statistics
% 150.27/150.51
% 150.27/150.51 % ------ General
% 150.27/150.51
% 150.27/150.51 % num_of_input_clauses: 851
% 150.27/150.51 % num_of_input_neg_conjectures: 1
% 150.27/150.51 % num_of_splits: 0
% 150.27/150.51 % num_of_split_atoms: 0
% 150.27/150.51 % num_of_sem_filtered_clauses: 0
% 150.27/150.51 % num_of_subtypes: 0
% 150.27/150.51 % monotx_restored_types: 0
% 150.27/150.51 % sat_num_of_epr_types: 0
% 150.27/150.51 % sat_num_of_non_cyclic_types: 0
% 150.27/150.51 % sat_guarded_non_collapsed_types: 0
% 150.27/150.51 % is_epr: 0
% 150.27/150.51 % is_horn: 0
% 150.27/150.51 % has_eq: 1
% 150.27/150.51 % num_pure_diseq_elim: 0
% 150.27/150.51 % simp_replaced_by: 0
% 150.27/150.51 % res_preprocessed: 2
% 150.27/150.51 % prep_upred: 0
% 150.27/150.51 % prep_unflattend: 0
% 150.27/150.51 % pred_elim_cands: 0
% 150.27/150.51 % pred_elim: 0
% 150.27/150.51 % pred_elim_cl: 0
% 150.27/150.51 % pred_elim_cycles: 0
% 150.27/150.51 % forced_gc_time: 0
% 150.27/150.51 % gc_basic_clause_elim: 0
% 150.27/150.51 % parsing_time: 0.043
% 150.27/150.51 % sem_filter_time: 0.
% 150.27/150.51 % pred_elim_time: 0.
% 150.27/150.51 % out_proof_time: 0.
% 150.27/150.51 % monotx_time: 0.
% 150.27/150.51 % subtype_inf_time: 0.
% 150.27/150.51 % unif_index_cands_time: 0.
% 150.27/150.51 % unif_index_add_time: 0.
% 150.27/150.51 % total_time: 150.014
% 150.27/150.51 % num_of_symbols: 82
% 150.27/150.51 % num_of_terms: 2247
% 150.27/150.51
% 150.27/150.51 % ------ Propositional Solver
% 150.27/150.51
% 150.27/150.51 % prop_solver_calls: 1
% 150.27/150.51 % prop_fast_solver_calls: 3
% 150.27/150.51 % prop_num_of_clauses: 736
% 150.27/150.51 % prop_preprocess_simplified: 2608
% 150.27/150.51 % prop_fo_subsumed: 0
% 150.27/150.51 % prop_solver_time: 0.
% 150.27/150.51 % prop_fast_solver_time: 0.
% 150.27/150.51 % prop_unsat_core_time: 0.
% 150.27/150.51
% 150.27/150.51 % ------ QBF
% 150.27/150.51
% 150.27/150.51 % qbf_q_res: 0
% 150.27/150.51 % qbf_num_tautologies: 0
% 150.27/150.51 % qbf_prep_cycles: 0
% 150.27/150.51
% 150.27/150.51 % ------ BMC1
% 150.27/150.51
% 150.27/150.51 % bmc1_current_bound: -1
% 150.27/150.51 % bmc1_last_solved_bound: -1
% 150.27/150.51 % bmc1_unsat_core_size: -1
% 150.27/150.51 % bmc1_unsat_core_parents_size: -1
% 150.27/150.51 % bmc1_merge_next_fun: 0
% 150.27/150.51 % bmc1_unsat_core_clauses_time: 0.
% 150.27/150.51
% 150.27/150.51 % ------ Instantiation
% 150.27/150.51
% 150.27/150.51 % inst_num_of_clauses: 753
% 150.27/150.51 % inst_num_in_passive: 0
% 150.27/150.51 % inst_num_in_active: 0
% 150.27/150.51 % inst_num_in_unprocessed: 851
% 150.27/150.51 % inst_num_of_loops: 0
% 150.27/150.51 % inst_num_of_learning_restarts: 0
% 150.27/150.51 % inst_num_moves_active_passive: 0
% 150.27/150.51 % inst_lit_activity: 0
% 150.27/150.51 % inst_lit_activity_moves: 0
% 150.27/150.51 % inst_num_tautologies: 0
% 150.27/150.51 % inst_num_prop_implied: 0
% 150.27/150.51 % inst_num_existing_simplified: 0
% 150.27/150.51 % inst_num_eq_res_simplified: 0
% 150.27/150.51 % inst_num_child_elim: 0
% 150.27/150.51 % inst_num_of_dismatching_blockings: 0
% 150.27/150.51 % inst_num_of_non_proper_insts: 0
% 150.27/150.51 % inst_num_of_duplicates: 0
% 150.27/150.51 % inst_inst_num_from_inst_to_res: 0
% 150.27/150.51 % inst_dismatching_checking_time: 0.
% 150.27/150.51
% 150.27/150.51 % ------ Resolution
% 150.27/150.51
% 150.27/150.51 % res_num_of_clauses: 734
% 150.27/150.51 % res_num_in_passive: 0
% 150.27/150.51 % res_num_in_active: 272
% 150.27/150.51 % res_num_of_loops: 0
% 150.27/150.51 % res_forward_subset_subsumed: 471
% 150.27/150.51 % res_backward_subset_subsumed: 0
% 150.27/150.51 % res_forward_subsumed: 0
% 150.27/150.51 % res_backward_subsumed: 0
% 150.27/150.51 % res_forward_subsumption_resolution: 0
% 150.27/150.51 % res_backward_subsumption_resolution: 0
% 150.27/150.51 % res_clause_to_clause_subsumption: 0
% 150.27/150.51 % res_orphan_elimination: 0
% 150.27/150.51 % res_tautology_del: 0
% 150.27/150.51 % res_num_eq_res_simplified: 0
% 150.27/150.51 % res_num_sel_changes: 0
% 150.27/150.51 % res_moves_from_active_to_pass: 0
% 150.27/150.51
% 150.27/150.51 % Status Unknown
% 150.27/150.57 % Orienting using strategy ClausalAll
% 150.27/150.57 % Orientation found
% 150.27/150.57 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_74b79a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_d29044 | grep -v "SZS"
% 150.38/150.60
% 150.38/150.60 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.38/150.60
% 150.38/150.60 %
% 150.38/150.60 % ------ iProver source info
% 150.38/150.60
% 150.38/150.60 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.38/150.60 % git: non_committed_changes: true
% 150.38/150.60 % git: last_make_outside_of_git: true
% 150.38/150.60
% 150.38/150.60 %
% 150.38/150.60 % ------ Input Options
% 150.38/150.60
% 150.38/150.60 % --out_options all
% 150.38/150.60 % --tptp_safe_out true
% 150.38/150.60 % --problem_path ""
% 150.38/150.60 % --include_path ""
% 150.38/150.60 % --clausifier .//eprover
% 150.38/150.60 % --clausifier_options --tstp-format
% 150.38/150.60 % --stdin false
% 150.38/150.60 % --dbg_backtrace false
% 150.38/150.60 % --dbg_dump_prop_clauses false
% 150.38/150.60 % --dbg_dump_prop_clauses_file -
% 150.38/150.60 % --dbg_out_stat false
% 150.38/150.60
% 150.38/150.60 % ------ General Options
% 150.38/150.60
% 150.38/150.60 % --fof false
% 150.38/150.60 % --time_out_real 150.
% 150.38/150.60 % --time_out_prep_mult 0.2
% 150.38/150.60 % --time_out_virtual -1.
% 150.38/150.60 % --schedule none
% 150.38/150.60 % --ground_splitting input
% 150.38/150.60 % --splitting_nvd 16
% 150.38/150.60 % --non_eq_to_eq false
% 150.38/150.60 % --prep_gs_sim true
% 150.38/150.60 % --prep_unflatten false
% 150.38/150.60 % --prep_res_sim true
% 150.38/150.60 % --prep_upred true
% 150.38/150.60 % --res_sim_input true
% 150.38/150.60 % --clause_weak_htbl true
% 150.38/150.60 % --gc_record_bc_elim false
% 150.38/150.60 % --symbol_type_check false
% 150.38/150.60 % --clausify_out false
% 150.38/150.60 % --large_theory_mode false
% 150.38/150.60 % --prep_sem_filter none
% 150.38/150.60 % --prep_sem_filter_out false
% 150.38/150.60 % --preprocessed_out false
% 150.38/150.60 % --sub_typing false
% 150.38/150.60 % --brand_transform false
% 150.38/150.60 % --pure_diseq_elim true
% 150.38/150.60 % --min_unsat_core false
% 150.38/150.60 % --pred_elim true
% 150.38/150.60 % --add_important_lit false
% 150.38/150.60 % --soft_assumptions false
% 150.38/150.60 % --reset_solvers false
% 150.38/150.60 % --bc_imp_inh []
% 150.38/150.60 % --conj_cone_tolerance 1.5
% 150.38/150.60 % --prolific_symb_bound 500
% 150.38/150.60 % --lt_threshold 2000
% 150.38/150.60
% 150.38/150.60 % ------ SAT Options
% 150.38/150.60
% 150.38/150.60 % --sat_mode false
% 150.38/150.60 % --sat_fm_restart_options ""
% 150.38/150.60 % --sat_gr_def false
% 150.38/150.60 % --sat_epr_types true
% 150.38/150.60 % --sat_non_cyclic_types false
% 150.38/150.60 % --sat_finite_models false
% 150.38/150.60 % --sat_fm_lemmas false
% 150.38/150.60 % --sat_fm_prep false
% 150.38/150.60 % --sat_fm_uc_incr true
% 150.38/150.60 % --sat_out_model small
% 150.38/150.60 % --sat_out_clauses false
% 150.38/150.60
% 150.38/150.60 % ------ QBF Options
% 150.38/150.60
% 150.38/150.60 % --qbf_mode false
% 150.38/150.60 % --qbf_elim_univ true
% 150.38/150.60 % --qbf_sk_in true
% 150.38/150.60 % --qbf_pred_elim true
% 150.38/150.60 % --qbf_split 32
% 150.38/150.60
% 150.38/150.60 % ------ BMC1 Options
% 150.38/150.60
% 150.38/150.60 % --bmc1_incremental false
% 150.38/150.60 % --bmc1_axioms reachable_all
% 150.38/150.60 % --bmc1_min_bound 0
% 150.38/150.60 % --bmc1_max_bound -1
% 150.38/150.60 % --bmc1_max_bound_default -1
% 150.38/150.60 % --bmc1_symbol_reachability true
% 150.38/150.60 % --bmc1_property_lemmas false
% 150.38/150.60 % --bmc1_k_induction false
% 150.38/150.60 % --bmc1_non_equiv_states false
% 150.38/150.60 % --bmc1_deadlock false
% 150.38/150.60 % --bmc1_ucm false
% 150.38/150.60 % --bmc1_add_unsat_core none
% 150.38/150.60 % --bmc1_unsat_core_children false
% 150.38/150.60 % --bmc1_unsat_core_extrapolate_axioms false
% 150.38/150.60 % --bmc1_out_stat full
% 150.38/150.60 % --bmc1_ground_init false
% 150.38/150.60 % --bmc1_pre_inst_next_state false
% 150.38/150.60 % --bmc1_pre_inst_state false
% 150.38/150.60 % --bmc1_pre_inst_reach_state false
% 150.38/150.60 % --bmc1_out_unsat_core false
% 150.38/150.60 % --bmc1_aig_witness_out false
% 150.38/150.60 % --bmc1_verbose false
% 150.38/150.60 % --bmc1_dump_clauses_tptp false
% 152.22/152.47 % --bmc1_dump_unsat_core_tptp false
% 152.22/152.47 % --bmc1_dump_file -
% 152.22/152.47 % --bmc1_ucm_expand_uc_limit 128
% 152.22/152.47 % --bmc1_ucm_n_expand_iterations 6
% 152.22/152.47 % --bmc1_ucm_extend_mode 1
% 152.22/152.47 % --bmc1_ucm_init_mode 2
% 152.22/152.47 % --bmc1_ucm_cone_mode none
% 152.22/152.47 % --bmc1_ucm_reduced_relation_type 0
% 152.22/152.47 % --bmc1_ucm_relax_model 4
% 152.22/152.47 % --bmc1_ucm_full_tr_after_sat true
% 152.22/152.47 % --bmc1_ucm_expand_neg_assumptions false
% 152.22/152.47 % --bmc1_ucm_layered_model none
% 152.22/152.47 % --bmc1_ucm_max_lemma_size 10
% 152.22/152.47
% 152.22/152.47 % ------ AIG Options
% 152.22/152.47
% 152.22/152.47 % --aig_mode false
% 152.22/152.47
% 152.22/152.47 % ------ Instantiation Options
% 152.22/152.47
% 152.22/152.47 % --instantiation_flag true
% 152.22/152.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.22/152.47 % --inst_solver_per_active 750
% 152.22/152.47 % --inst_solver_calls_frac 0.5
% 152.22/152.47 % --inst_passive_queue_type priority_queues
% 152.22/152.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.22/152.47 % --inst_passive_queues_freq [25;2]
% 152.22/152.47 % --inst_dismatching true
% 152.22/152.47 % --inst_eager_unprocessed_to_passive true
% 152.22/152.47 % --inst_prop_sim_given true
% 152.22/152.47 % --inst_prop_sim_new false
% 152.22/152.47 % --inst_orphan_elimination true
% 152.22/152.47 % --inst_learning_loop_flag true
% 152.22/152.47 % --inst_learning_start 3000
% 152.22/152.47 % --inst_learning_factor 2
% 152.22/152.47 % --inst_start_prop_sim_after_learn 3
% 152.22/152.47 % --inst_sel_renew solver
% 152.22/152.47 % --inst_lit_activity_flag true
% 152.22/152.47 % --inst_out_proof true
% 152.22/152.47
% 152.22/152.47 % ------ Resolution Options
% 152.22/152.47
% 152.22/152.47 % --resolution_flag true
% 152.22/152.47 % --res_lit_sel kbo_max
% 152.22/152.47 % --res_to_prop_solver none
% 152.22/152.47 % --res_prop_simpl_new false
% 152.22/152.47 % --res_prop_simpl_given false
% 152.22/152.47 % --res_passive_queue_type priority_queues
% 152.22/152.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.22/152.47 % --res_passive_queues_freq [15;5]
% 152.22/152.47 % --res_forward_subs full
% 152.22/152.47 % --res_backward_subs full
% 152.22/152.47 % --res_forward_subs_resolution true
% 152.22/152.47 % --res_backward_subs_resolution true
% 152.22/152.47 % --res_orphan_elimination false
% 152.22/152.47 % --res_time_limit 1000.
% 152.22/152.47 % --res_out_proof true
% 152.22/152.47 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_74b79a.s
% 152.22/152.47 % --modulo true
% 152.22/152.47
% 152.22/152.47 % ------ Combination Options
% 152.22/152.47
% 152.22/152.47 % --comb_res_mult 1000
% 152.22/152.47 % --comb_inst_mult 300
% 152.22/152.47 % ------
% 152.22/152.47
% 152.22/152.47 % ------ Parsing...% successful
% 152.22/152.47
% 152.22/152.47 % ------ 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 %
% 152.22/152.47
% 152.22/152.47 % ------ Proving...
% 152.22/152.47 % ------ Problem Properties
% 152.22/152.47
% 152.22/152.47 %
% 152.22/152.47 % EPR false
% 152.22/152.47 % Horn false
% 152.22/152.47 % Has equality true
% 152.22/152.47
% 152.22/152.47 % % ------ Input Options Time Limit: Unbounded
% 152.22/152.47
% 152.22/152.47
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 Compiling...
% 152.22/152.47 Loading plugin: done.
% 152.22/152.47 % % ------ Current options:
% 152.22/152.47
% 152.22/152.47 % ------ Input Options
% 152.22/152.47
% 152.22/152.47 % --out_options all
% 152.22/152.47 % --tptp_safe_out true
% 152.22/152.47 % --problem_path ""
% 152.22/152.47 % --include_path ""
% 152.22/152.47 % --clausifier .//eprover
% 152.22/152.47 % --clausifier_options --tstp-format
% 152.22/152.47 % --stdin false
% 152.22/152.47 % --dbg_backtrace false
% 152.22/152.47 % --dbg_dump_prop_clauses false
% 152.22/152.47 % --dbg_dump_prop_clauses_file -
% 152.22/152.47 % --dbg_out_stat false
% 152.22/152.47
% 152.22/152.47 % ------ General Options
% 152.22/152.47
% 152.22/152.47 % --fof false
% 152.22/152.47 % --time_out_real 150.
% 152.22/152.47 % --time_out_prep_mult 0.2
% 152.22/152.47 % --time_out_virtual -1.
% 152.22/152.47 % --schedule none
% 152.22/152.47 % --ground_splitting input
% 152.22/152.47 % --splitting_nvd 16
% 152.22/152.47 % --non_eq_to_eq false
% 152.22/152.47 % --prep_gs_sim true
% 152.22/152.47 % --prep_unflatten false
% 152.22/152.47 % --prep_res_sim true
% 152.22/152.47 % --prep_upred true
% 152.22/152.47 % --res_sim_input true
% 152.22/152.47 % --clause_weak_htbl true
% 152.22/152.47 % --gc_record_bc_elim false
% 152.22/152.47 % --symbol_type_check false
% 152.22/152.47 % --clausify_out false
% 152.22/152.47 % --large_theory_mode false
% 152.22/152.47 % --prep_sem_filter none
% 152.22/152.47 % --prep_sem_filter_out false
% 152.22/152.47 % --preprocessed_out false
% 152.22/152.47 % --sub_typing false
% 152.22/152.47 % --brand_transform false
% 152.22/152.47 % --pure_diseq_elim true
% 152.22/152.47 % --min_unsat_core false
% 152.22/152.47 % --pred_elim true
% 152.22/152.47 % --add_important_lit false
% 152.22/152.47 % --soft_assumptions false
% 152.22/152.47 % --reset_solvers false
% 152.22/152.47 % --bc_imp_inh []
% 152.22/152.47 % --conj_cone_tolerance 1.5
% 152.22/152.47 % --prolific_symb_bound 500
% 152.22/152.47 % --lt_threshold 2000
% 152.22/152.47
% 152.22/152.47 % ------ SAT Options
% 152.22/152.47
% 152.22/152.47 % --sat_mode false
% 152.22/152.47 % --sat_fm_restart_options ""
% 152.22/152.47 % --sat_gr_def false
% 152.22/152.47 % --sat_epr_types true
% 152.22/152.47 % --sat_non_cyclic_types false
% 152.22/152.47 % --sat_finite_models false
% 152.22/152.47 % --sat_fm_lemmas false
% 152.22/152.47 % --sat_fm_prep false
% 152.22/152.47 % --sat_fm_uc_incr true
% 152.22/152.47 % --sat_out_model small
% 152.22/152.47 % --sat_out_clauses false
% 152.22/152.47
% 152.22/152.47 % ------ QBF Options
% 152.22/152.47
% 152.22/152.47 % --qbf_mode false
% 152.22/152.47 % --qbf_elim_univ true
% 152.22/152.47 % --qbf_sk_in true
% 152.22/152.47 % --qbf_pred_elim true
% 152.22/152.47 % --qbf_split 32
% 152.22/152.47
% 152.22/152.47 % ------ BMC1 Options
% 152.22/152.47
% 152.22/152.47 % --bmc1_incremental false
% 152.22/152.47 % --bmc1_axioms reachable_all
% 152.22/152.47 % --bmc1_min_bound 0
% 152.22/152.47 % --bmc1_max_bound -1
% 152.22/152.47 % --bmc1_max_bound_default -1
% 152.22/152.47 % --bmc1_symbol_reachability true
% 152.22/152.47 % --bmc1_property_lemmas false
% 152.22/152.47 % --bmc1_k_induction false
% 152.22/152.47 % --bmc1_non_equiv_states false
% 152.22/152.47 % --bmc1_deadlock false
% 152.22/152.47 % --bmc1_ucm false
% 152.22/152.47 % --bmc1_add_unsat_core none
% 152.22/152.47 % --bmc1_unsat_core_children false
% 152.22/152.47 % --bmc1_unsat_core_extrapolate_axioms false
% 152.22/152.47 % --bmc1_out_stat full
% 152.22/152.47 % --bmc1_ground_init false
% 152.22/152.47 % --bmc1_pre_inst_next_state false
% 152.22/152.47 % --bmc1_pre_inst_state false
% 152.22/152.47 % --bmc1_pre_inst_reach_state false
% 152.22/152.47 % --bmc1_out_unsat_core false
% 152.22/152.47 % --bmc1_aig_witness_out false
% 152.22/152.47 % --bmc1_verbose false
% 152.22/152.47 % --bmc1_dump_clauses_tptp false
% 152.22/152.47 % --bmc1_dump_unsat_core_tptp false
% 152.22/152.47 % --bmc1_dump_file -
% 152.22/152.47 % --bmc1_ucm_expand_uc_limit 128
% 152.22/152.47 % --bmc1_ucm_n_expand_iterations 6
% 152.22/152.47 % --bmc1_ucm_extend_mode 1
% 152.22/152.47 % --bmc1_ucm_init_mode 2
% 152.22/152.47 % --bmc1_ucm_cone_mode none
% 152.22/152.47 % --bmc1_ucm_reduced_relation_type 0
% 152.22/152.47 % --bmc1_ucm_relax_model 4
% 152.22/152.47 % --bmc1_ucm_full_tr_after_sat true
% 152.22/152.47 % --bmc1_ucm_expand_neg_assumptions false
% 152.22/152.47 % --bmc1_ucm_layered_model none
% 152.22/152.47 % --bmc1_ucm_max_lemma_size 10
% 152.22/152.47
% 152.22/152.47 % ------ AIG Options
% 152.22/152.47
% 152.22/152.47 % --aig_mode false
% 152.22/152.47
% 152.22/152.47 % ------ Instantiation Options
% 152.22/152.47
% 152.22/152.47 % --instantiation_flag true
% 152.22/152.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.22/152.47 % --inst_solver_per_active 750
% 152.22/152.47 % --inst_solver_calls_frac 0.5
% 152.22/152.47 % --inst_passive_queue_type priority_queues
% 152.22/152.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.22/152.47 % --inst_passive_queues_freq [25;2]
% 152.22/152.47 % --inst_dismatching true
% 152.22/152.47 % --inst_eager_unprocessed_to_passive true
% 152.22/152.47 % --inst_prop_sim_given true
% 152.22/152.47 % --inst_prop_sim_new false
% 152.22/152.47 % --inst_orphan_elimination true
% 152.22/152.47 % --inst_learning_loop_flag true
% 152.22/152.47 % --inst_learning_start 3000
% 152.22/152.47 % --inst_learning_factor 2
% 152.22/152.47 % --inst_start_prop_sim_after_learn 3
% 152.22/152.47 % --inst_sel_renew solver
% 152.22/152.47 % --inst_lit_activity_flag true
% 152.22/152.47 % --inst_out_proof true
% 152.22/152.47
% 152.22/152.47 % ------ Resolution Options
% 152.22/152.47
% 152.22/152.47 % --resolution_flag true
% 152.22/152.47 % --res_lit_sel kbo_max
% 152.22/152.47 % --res_to_prop_solver none
% 152.22/152.47 % --res_prop_simpl_new false
% 152.22/152.47 % --res_prop_simpl_given false
% 152.22/152.47 % --res_passive_queue_type priority_queues
% 152.22/152.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.22/152.47 % --res_passive_queues_freq [15;5]
% 152.22/152.47 % --res_forward_subs full
% 152.22/152.47 % --res_backward_subs full
% 152.22/152.47 % --res_forward_subs_resolution true
% 152.22/152.47 % --res_backward_subs_resolution true
% 152.22/152.47 % --res_orphan_elimination false
% 152.22/152.47 % --res_time_limit 1000.
% 152.22/152.47 % --res_out_proof true
% 152.22/152.47 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_74b79a.s
% 152.22/152.47 % --modulo true
% 152.22/152.47
% 152.22/152.47 % ------ Combination Options
% 152.22/152.47
% 152.22/152.47 % --comb_res_mult 1000
% 152.22/152.47 % --comb_inst_mult 300
% 152.22/152.47 % ------
% 152.22/152.47
% 152.22/152.47
% 152.22/152.47
% 152.22/152.47 % ------ Proving...
% 152.22/152.47 % warning: shown sat in sat incomplete mode
% 152.22/152.47 %
% 152.22/152.47
% 152.22/152.47
% 152.22/152.47
% 152.22/152.47
% 152.22/152.47 cnf(c_847,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1532_2) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3604,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_847]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3605,plain,
% 152.22/152.47 ( ~ 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)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3604]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_838,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1535_2) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3586,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_838]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3587,plain,
% 152.22/152.47 ( ~ 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)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3586]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_799,plain,
% 152.22/152.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1550_2) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3508,plain,
% 152.22/152.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_799]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3509,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3508]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_796,plain,
% 152.22/152.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1551_2) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3502,plain,
% 152.22/152.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_796]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3503,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3502]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_792,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1552_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3494,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_792]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3495,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3494]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_788,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1553_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3486,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_788]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3487,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3486]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_781,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1555_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3472,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_781]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3473,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3472]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_777,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1556_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3464,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_777]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3465,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3464]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_767,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1559_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3444,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_767]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3445,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3444]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_763,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1560_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3436,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_763]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3437,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3436]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_759,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1561_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3428,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_759]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3429,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3428]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_755,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1562_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3420,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_755]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3421,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3420]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_750,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1565_0) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3410,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_750]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3411,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3410]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_747,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1565_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3404,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_747]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3405,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3404]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_746,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1566_0) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3402,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_746]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3403,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3402]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_743,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1566_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3396,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_743]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3397,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.47 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3396]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_705,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1581_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3320,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_705]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3321,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3320]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_677,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1588_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3264,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_677]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3265,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3264]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_671,plain,
% 152.22/152.47 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1590_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3252,plain,
% 152.22/152.47 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_671]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3253,plain,
% 152.22/152.47 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3252]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_638,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1602_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3186,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_638]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3187,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3186]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_635,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1603_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3180,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_635]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3181,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3180]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_632,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1604_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3174,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_632]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3175,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3174]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_630,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1604_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3170,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_630]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3171,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3170]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_628,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1605_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3166,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_628]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3167,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3166]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_626,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1605_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3162,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_626]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3163,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3162]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_617,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1613_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3144,plain,
% 152.22/152.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.47 | 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)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_617]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3145,plain,
% 152.22/152.47 ( 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)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3144]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_606,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1616_3) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3122,plain,
% 152.22/152.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_606]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3123,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3122]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_600,plain,
% 152.22/152.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1618_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3110,plain,
% 152.22/152.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.47 inference(copy,[status(esa)],[c_600]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3111,plain,
% 152.22/152.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.22/152.47 inference(rewriting,[status(thm)],[c_3110]) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_596,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1619_1) ).
% 152.22/152.47
% 152.22/152.47 cnf(c_3102,plain,
% 152.22/152.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_596]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3103,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3102]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_592,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1620_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3094,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_592]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3095,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3094]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_588,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1621_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3086,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_588]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3087,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3086]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_580,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1623_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3070,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_580]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3071,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3070]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_577,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1624_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3064,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_577]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3065,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3064]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_561,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1629_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3032,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_561]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3033,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3032]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_555,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1632_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3020,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_555]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3021,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3020]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_552,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1633_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3014,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_552]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3015,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3014]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_548,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1634_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3006,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_548]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3007,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3006]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_545,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1635_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3000,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_545]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3001,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3000]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_542,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.22/152.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1636_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2994,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.22/152.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_542]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2995,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2994]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_507,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1655_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2924,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_507]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2925,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2924]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_506,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1656_0) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2922,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_506]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2923,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2922]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_503,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1656_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2916,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_503]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2917,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2916]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_502,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1657_0) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2914,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_502]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2915,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2914]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_499,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1657_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2908,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_499]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2909,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2908]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_492,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1671_0) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2894,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_492]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2895,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.22/152.48 | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2894]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_469,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.22/152.48 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1682_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2848,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.22/152.48 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_469]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2849,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 152.22/152.48 | X1 = X2 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2848]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_434,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1699_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2778,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_434]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2779,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2778]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_378,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1723_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2666,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_378]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2667,plain,
% 152.22/152.48 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | X0 = X1 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2666]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_375,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1724_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2660,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_375]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2661,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.48 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2660]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_332,plain,
% 152.22/152.48 ( c_Suc(X0) = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1749_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2574,plain,
% 152.22/152.48 ( c_Suc(X0) = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_332]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2575,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_Suc(X0) = X1 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2574]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_318,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | X1 = X0
% 152.22/152.48 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1755_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2546,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | X1 = X0
% 152.22/152.48 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_318]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2547,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.22/152.48 | X1 = X0 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2546]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_315,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | X1 = X0
% 152.22/152.48 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1756_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2540,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | X1 = X0
% 152.22/152.48 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_315]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2541,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.22/152.48 | X1 = X0 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2540]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_313,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.48 | X2 = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1757_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2536,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.48 | X2 = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_313]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2537,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.22/152.48 | X1 = X0 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2536]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_311,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1757_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2532,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_311]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2533,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.22/152.48 | X0 = X1 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2532]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_255,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1781_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2420,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_255]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2421,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.22/152.48 | X0 = X1 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2420]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_50,plain,
% 152.22/152.48 ( 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) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1774_0) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2036,plain,
% 152.22/152.48 ( 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) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_50]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_2037,plain,
% 152.22/152.48 ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_2036]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_850,negated_conjecture,
% 152.22/152.48 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_4) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_1096,negated_conjecture,
% 152.22/152.48 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_850]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_1100,negated_conjecture,
% 152.22/152.48 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_1096]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_1101,negated_conjecture,
% 152.22/152.48 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_1100]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_1102,negated_conjecture,
% 152.22/152.48 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_1101]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3610,negated_conjecture,
% 152.22/152.48 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_1102]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_844,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1533_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3598,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_844]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_841,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1534_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3592,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_841]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_836,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1536_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3582,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_836]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_832,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1538_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3574,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_832]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3575,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oring(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3574]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_830,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1539_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3570,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_830]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_827,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1540_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3564,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_827]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3565,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oring(X0)
% 152.22/152.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3564]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_824,plain,
% 152.22/152.48 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oring(X3) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1541_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3558,plain,
% 152.22/152.48 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oring(X3) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_824]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3559,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oring(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3558]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_822,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1542_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3554,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_822]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3555,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Osemiring(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3554]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_816,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X2 = X4
% 152.22/152.48 | X1 = X3 ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1544_0) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3542,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X2 = X4
% 152.22/152.48 | X1 = X3 ),
% 152.22/152.48 inference(copy,[status(esa)],[c_816]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_812,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | X2 = X3
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X4)
% 152.22/152.48 | ~ class_Ring__and__Field_Oidom(X4) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1544_4) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3534,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | X2 = X3
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X4)
% 152.22/152.48 | ~ class_Ring__and__Field_Oidom(X4) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_812]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3535,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X1 = X3
% 152.22/152.48 | X2 = X4 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3534]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_808,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 152.22/152.48 | X1 = X3
% 152.22/152.48 | X0 = X2 ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1547_0) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3526,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 152.22/152.48 | X1 = X3
% 152.22/152.48 | X0 = X2 ),
% 152.22/152.48 inference(copy,[status(esa)],[c_808]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_806,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | X2 = X3
% 152.22/152.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1547_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3522,plain,
% 152.22/152.48 ( X0 = X1
% 152.22/152.48 | X2 = X3
% 152.22/152.48 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_806]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3523,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 152.22/152.48 | X0 = X2
% 152.22/152.48 | X1 = X3 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3522]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_804,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1548_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3518,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_804]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3519,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3518]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_802,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1549_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3514,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_802]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3515,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3514]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_771,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1558_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3452,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_771]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3453,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3452]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_753,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1563_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3416,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_753]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3417,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3416]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_751,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1564_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3412,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_751]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3413,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3412]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_738,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.48 | X2 = X3
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X1)
% 152.22/152.48 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1567_4) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3386,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.48 | X2 = X3
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X1)
% 152.22/152.48 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_738]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3387,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.22/152.48 | ~ class_Int_Onumber__ring(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.22/152.48 | X3 = X4 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3386]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_736,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1570_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3382,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_736]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3383,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3382]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_733,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | X1 = X2
% 152.22/152.48 | c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1571_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3376,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | X1 = X2
% 152.22/152.48 | c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_733]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3377,plain,
% 152.22/152.48 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
% 152.22/152.48 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.48 | X2 = X3 ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3376]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_730,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1572_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3370,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_730]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3371,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3370]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_727,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1573_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3364,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_727]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3365,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3364]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_725,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1574_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3360,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_725]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_723,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1575_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3356,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_723]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_721,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1576_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3352,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_721]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3353,plain,
% 152.22/152.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3352]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_719,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1577_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3348,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_719]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3349,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3348]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_717,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1578_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3344,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.48 | ~ 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) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_717]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3345,plain,
% 152.22/152.48 ( ~ 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)
% 152.22/152.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3344]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_713,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1579_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3336,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_713]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3337,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3336]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_697,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1583_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3304,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_697]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3305,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3304]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_701,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1582_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3312,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_701]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3313,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3312]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_685,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1586_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3280,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_685]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3281,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3280]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_673,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1589_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3256,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_673]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_669,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1590_3) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3248,plain,
% 152.22/152.48 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 152.22/152.48 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_669]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3249,plain,
% 152.22/152.48 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.22/152.48 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.22/152.48 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3248]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_666,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1591_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3242,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_666]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3243,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3242]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_663,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1592_2) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3236,plain,
% 152.22/152.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.22/152.48 | 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_663]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3237,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.48 | 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)
% 152.22/152.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.22/152.48 inference(rewriting,[status(thm)],[c_3236]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_661,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1593_1) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3232,plain,
% 152.22/152.48 ( 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)
% 152.22/152.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.48 inference(copy,[status(esa)],[c_661]) ).
% 152.22/152.48
% 152.22/152.48 cnf(c_3233,plain,
% 152.22/152.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.48 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3232]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_659,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1594_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3228,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_659]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3229,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3228]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_655,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1596_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3220,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_655]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3221,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3220]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_640,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1601_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3190,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_640]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3191,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3190]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_643,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1600_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3196,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_643]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3197,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3196]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_637,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1602_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3184,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_637]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_634,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1603_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3178,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_634]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_624,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1610_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3158,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_624]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3159,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3158]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_622,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1611_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3154,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_622]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_619,plain,
% 152.22/152.49 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1612_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3148,plain,
% 152.22/152.49 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_619]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3149,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3148]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_616,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1613_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3142,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_616]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_614,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1614_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3138,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_614]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_602,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1617_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3114,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_602]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3115,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3114]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_598,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1618_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3106,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_598]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3107,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3106]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_594,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1619_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3098,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_594]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_590,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1620_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3090,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_590]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3091,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3090]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_586,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1621_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3082,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_586]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3083,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3082]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_585,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1622_0) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3080,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_585]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_583,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1622_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3076,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_583]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3077,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3076]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_581,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1623_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3072,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_581]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3073,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3072]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_578,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1624_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3066,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_578]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3067,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3066]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_574,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1625_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3058,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_574]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3059,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3058]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_571,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1626_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3052,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_571]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3053,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3052]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_568,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1627_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3046,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_568]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3047,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3046]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_565,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1628_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3040,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_565]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3041,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_3040]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_559,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1630_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3028,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_559]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_557,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1631_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3024,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_557]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_554,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1632_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3018,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_554]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_551,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1633_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_3012,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_551]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_538,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1640_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2986,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_538]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2987,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2986]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_534,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1642_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2978,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_534]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2979,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2978]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_532,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1643_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2974,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_532]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2975,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2974]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_530,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1644_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2970,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_530]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2971,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2970]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_526,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1646_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2962,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_526]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2963,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2962]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_524,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1647_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2958,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_524]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2959,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2958]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_520,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1649_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2950,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_520]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2951,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2950]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_518,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1650_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2946,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_518]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2947,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2946]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_516,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1651_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2942,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_516]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2943,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2942]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_514,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1652_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2938,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_514]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2939,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2938]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_512,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1653_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2934,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_512]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2935,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2934]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_510,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1654_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2930,plain,
% 152.22/152.49 ( 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)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_510]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2931,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.22/152.49 | 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) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2930]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_497,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1668_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2904,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_497]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2905,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2904]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_495,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1669_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2900,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_495]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2901,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2900]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_493,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1670_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2896,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_493]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2897,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2896]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_490,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1671_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2890,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_490]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_488,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1672_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2886,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_488]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2887,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2886]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_485,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1673_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2880,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_485]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_482,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1674_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2874,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_482]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_479,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1675_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2868,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.22/152.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_479]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_477,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1676_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2864,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_477]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_474,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1680_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2858,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_474]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_472,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1681_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2854,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_472]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_467,plain,
% 152.22/152.49 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 152.22/152.49 | ~ c_Lambda_Obeta(X0,X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1683_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2844,plain,
% 152.22/152.49 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 152.22/152.49 | ~ c_Lambda_Obeta(X0,X3) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_467]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_465,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1684_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2840,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_465]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_463,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1685_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2836,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_463]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_461,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1688_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2832,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_461]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_459,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1689_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2828,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_459]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_453,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1692_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2816,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_453]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_451,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1693_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2812,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_451]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_450,plain,
% 152.22/152.49 ( ~ class_Orderings_Oorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1694_0) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2810,plain,
% 152.22/152.49 ( ~ class_Orderings_Oorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_450]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_449,plain,
% 152.22/152.49 ( ~ class_Orderings_Oorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1694_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2808,plain,
% 152.22/152.49 ( ~ class_Orderings_Oorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_449]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_447,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ class_Orderings_Oorder(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1694_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2804,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ class_Orderings_Oorder(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_447]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2805,plain,
% 152.22/152.49 ( ~ class_Orderings_Oorder(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2804]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_446,plain,
% 152.22/152.49 ( ~ class_Orderings_Opreorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1695_0) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2802,plain,
% 152.22/152.49 ( ~ class_Orderings_Opreorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_446]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_445,plain,
% 152.22/152.49 ( ~ class_Orderings_Opreorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1695_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2800,plain,
% 152.22/152.49 ( ~ class_Orderings_Opreorder(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_445]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_443,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.49 | ~ class_Orderings_Opreorder(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1695_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2796,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.22/152.49 | ~ class_Orderings_Opreorder(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_443]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2797,plain,
% 152.22/152.49 ( ~ class_Orderings_Opreorder(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2796]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_441,plain,
% 152.22/152.49 ( c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1696_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2792,plain,
% 152.22/152.49 ( c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_441]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2793,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2792]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_439,plain,
% 152.22/152.49 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1697_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2788,plain,
% 152.22/152.49 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_439]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2789,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.22/152.49 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2788]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_436,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1698_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2782,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_436]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2783,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2782]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_433,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1699_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2776,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_433]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_431,plain,
% 152.22/152.49 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1700_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2772,plain,
% 152.22/152.49 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 152.22/152.49 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_431]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2773,plain,
% 152.22/152.49 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 152.22/152.49 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2772]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_429,plain,
% 152.22/152.49 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1701_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2768,plain,
% 152.22/152.49 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_429]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2769,plain,
% 152.22/152.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2768]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_427,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1703_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2764,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_427]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_425,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1706_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2760,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 152.22/152.49 inference(copy,[status(esa)],[c_425]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_422,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1707_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2754,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_422]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2755,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2754]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_419,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1708_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2748,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_419]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2749,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2748]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_417,plain,
% 152.22/152.49 ( X0 = X1
% 152.22/152.49 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1709_1) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2744,plain,
% 152.22/152.49 ( X0 = X1
% 152.22/152.49 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_417]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2745,plain,
% 152.22/152.49 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 152.22/152.49 | X1 = X2 ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2744]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_413,plain,
% 152.22/152.49 ( X0 = X1
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.22/152.49 | ~ class_Int_Onumber__ring(X3)
% 152.22/152.49 | ~ class_Ring__and__Field_Oidom(X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1710_3) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2736,plain,
% 152.22/152.49 ( X0 = X1
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.22/152.49 | ~ class_Int_Onumber__ring(X3)
% 152.22/152.49 | ~ class_Ring__and__Field_Oidom(X3) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_413]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2737,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.22/152.49 | ~ class_Int_Onumber__ring(X0)
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 152.22/152.49 | X2 = X3 ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2736]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_410,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1711_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2730,plain,
% 152.22/152.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.22/152.49 inference(copy,[status(esa)],[c_410]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2731,plain,
% 152.22/152.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.22/152.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.22/152.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.22/152.49 inference(rewriting,[status(thm)],[c_2730]) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_407,plain,
% 152.22/152.49 ( X0 = X1
% 152.22/152.49 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 152.22/152.49 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.22/152.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1713_2) ).
% 152.22/152.49
% 152.22/152.49 cnf(c_2724,plain,
% 152.22/152.49 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_407]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2725,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 152.22/152.50 | X1 = X3 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2724]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_404,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1714_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2718,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_404]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2719,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 152.22/152.50 | X2 = X3 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2718]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_401,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1715_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2712,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_401]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2713,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 152.22/152.50 | X2 = X3 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2712]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_398,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1716_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2706,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.22/152.50 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_398]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2707,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 152.22/152.50 | X2 = X3 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2706]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_395,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.22/152.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1717_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2700,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.22/152.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_395]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2701,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 152.22/152.50 | X1 = X2 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2700]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_392,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | ~ class_Orderings_Oorder(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1718_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2694,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | ~ class_Orderings_Oorder(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_392]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2695,plain,
% 152.22/152.50 ( ~ class_Orderings_Oorder(X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2694]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_389,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | ~ class_Orderings_Olinorder(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1719_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2688,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | ~ class_Orderings_Olinorder(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_389]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2689,plain,
% 152.22/152.50 ( ~ class_Orderings_Olinorder(X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2688]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_383,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | ~ class_Orderings_Opreorder(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1721_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2676,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | ~ class_Orderings_Opreorder(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_383]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2677,plain,
% 152.22/152.50 ( ~ class_Orderings_Opreorder(X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2676]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_381,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1722_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2672,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_381]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_379,plain,
% 152.22/152.50 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X1 = X0
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1723_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2668,plain,
% 152.22/152.50 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X1 = X0
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_379]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2669,plain,
% 152.22/152.50 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X1 = X0 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2668]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_372,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1725_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2654,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_372]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2655,plain,
% 152.22/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 152.22/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X0 = X2 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2654]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_366,plain,
% 152.22/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X1 = X2
% 152.22/152.50 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1727_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2642,plain,
% 152.22/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X1 = X2
% 152.22/152.50 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_366]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2643,plain,
% 152.22/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 152.22/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | X1 = X2 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2642]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_364,plain,
% 152.22/152.50 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1728_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2638,plain,
% 152.22/152.50 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_364]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2639,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.22/152.50 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2638]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_362,plain,
% 152.22/152.50 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 152.22/152.50 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1729_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2634,plain,
% 152.22/152.50 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 152.22/152.50 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_362]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2635,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.22/152.50 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2634]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_360,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 152.22/152.50 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1730_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2630,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 152.22/152.50 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_360]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2631,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2630]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_356,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1732_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2622,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_356]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2623,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 152.22/152.50 | X0 = X2 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2622]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_354,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1733_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2618,plain,
% 152.22/152.50 ( X0 = X1
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_354]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2619,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 152.22/152.50 | X1 = X2 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2618]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_352,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1741_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2614,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_352]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2615,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2614]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_348,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1743_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2606,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_348]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_342,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | X1 = X0
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1745_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2594,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | X1 = X0
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_342]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2595,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | X1 = X0 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2594]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_339,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | X0 = X1
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1746_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2588,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | X0 = X1
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_339]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2589,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | X0 = X1 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2588]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_337,plain,
% 152.22/152.50 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1747_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2584,plain,
% 152.22/152.50 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_337]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2585,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2584]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_335,plain,
% 152.22/152.50 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1748_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2580,plain,
% 152.22/152.50 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_335]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2581,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2580]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_330,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1750_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2570,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_330]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2571,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2570]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_328,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.50 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1751_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2566,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.22/152.50 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_328]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2567,plain,
% 152.22/152.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2566]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_326,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1752_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2562,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_326]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_324,plain,
% 152.22/152.50 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 152.22/152.50 | ~ c_InductTermi_OIT(X0) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1753_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2558,plain,
% 152.22/152.50 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 152.22/152.50 | ~ c_InductTermi_OIT(X0) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_324]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_321,plain,
% 152.22/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1754_2) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2552,plain,
% 152.22/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.22/152.50 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 152.22/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_321]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2553,plain,
% 152.22/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 152.22/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2552]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_298,plain,
% 152.22/152.50 ( ~ class_Orderings_Olinorder(X0)
% 152.22/152.50 | X1 = X2
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1761_0) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2506,plain,
% 152.22/152.50 ( ~ class_Orderings_Olinorder(X0)
% 152.22/152.50 | X1 = X2
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_298]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2507,plain,
% 152.22/152.50 ( ~ class_Orderings_Olinorder(X0)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.22/152.50 | X1 = X2 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2506]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_295,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | X1 = X0
% 152.22/152.50 | ~ class_Orderings_Olinorder(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1761_3) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2500,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.22/152.50 | X1 = X0
% 152.22/152.50 | ~ class_Orderings_Olinorder(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_295]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2501,plain,
% 152.22/152.50 ( ~ class_Orderings_Olinorder(X0)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.22/152.50 | X2 = X1 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2500]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_291,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.22/152.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1765_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2492,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.22/152.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_291]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2493,plain,
% 152.22/152.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2492]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_289,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.22/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1766_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2488,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.22/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_289]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2489,plain,
% 152.22/152.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2488]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_285,plain,
% 152.22/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 152.22/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1768_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2480,plain,
% 152.22/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 152.22/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_285]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2481,plain,
% 152.22/152.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.22/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2480]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_283,plain,
% 152.22/152.50 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1770_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2476,plain,
% 152.22/152.50 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 152.22/152.50 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_283]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2477,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.22/152.50 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2476]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_281,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1771_1) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2472,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_281]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2473,plain,
% 152.22/152.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.22/152.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.22/152.50 inference(rewriting,[status(thm)],[c_2472]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_275,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.22/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1776_0) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_2460,plain,
% 152.22/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.22/152.50 inference(copy,[status(esa)],[c_275]) ).
% 152.22/152.50
% 152.22/152.50 cnf(c_273,plain,
% 152.22/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.22/152.50 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1776_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2456,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_273]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2457,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2456]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_268,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1778_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2446,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_268]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_265,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1778_3) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2440,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_265]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2441,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2440]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_264,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1779_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2438,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_264]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_261,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1779_3) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2432,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_261]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2433,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2432]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_256,plain,
% 152.25/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.25/152.50 | X1 = X0
% 152.25/152.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1781_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2422,plain,
% 152.25/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.25/152.50 | X1 = X0
% 152.25/152.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_256]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2423,plain,
% 152.25/152.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.25/152.50 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.25/152.50 | X1 = X0 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2422]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_251,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X2)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1782_3) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2412,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X2)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_251]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2413,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = X2 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2412]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_249,plain,
% 152.25/152.50 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1783_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2408,plain,
% 152.25/152.50 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_249]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2409,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.25/152.50 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2408]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_245,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 152.25/152.50 | ~ class_Int_Onumber__ring(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1784_3) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2400,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 152.25/152.50 | ~ class_Int_Onumber__ring(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_245]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2401,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 152.25/152.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2400]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_243,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1785_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2396,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_243]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2397,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2396]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_234,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1788_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2378,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_234]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2379,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2378]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_231,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1789_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2372,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_231]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2373,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2372]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_228,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1793_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2366,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_228]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2367,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2366]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_226,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1794_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2362,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_226]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2363,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2362]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_224,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1795_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2358,plain,
% 152.25/152.50 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_224]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2359,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2358]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_220,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1797_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2350,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_220]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_218,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1797_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2346,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_218]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2347,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2346]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_215,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.25/152.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1798_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2340,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.25/152.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_215]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2341,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = X2 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2340]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_212,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.25/152.50 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1799_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2334,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.25/152.50 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_212]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2335,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | X1 = X2 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2334]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_210,plain,
% 152.25/152.50 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1800_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2330,plain,
% 152.25/152.50 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_210]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2331,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.25/152.50 | c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2330]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_208,plain,
% 152.25/152.50 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1801_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2326,plain,
% 152.25/152.50 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0
% 152.25/152.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_208]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2327,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.25/152.50 | c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2326]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_207,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1802_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2324,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_207]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_205,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1802_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2320,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_205]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2321,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2320]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_203,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1803_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2316,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_203]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2317,plain,
% 152.25/152.50 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2316]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_201,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1804_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2312,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_201]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2313,plain,
% 152.25/152.50 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2312]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_199,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1805_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2308,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_199]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2309,plain,
% 152.25/152.50 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2308]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_197,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1807_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2304,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_197]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2305,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2304]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_195,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1808_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2300,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_195]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2301,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2300]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_193,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1809_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2296,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_193]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_191,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 152.25/152.50 | ~ c_Lambda_Obeta(X1,X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1810_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2292,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 152.25/152.50 | ~ c_Lambda_Obeta(X1,X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_191]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_189,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1811_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2288,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_189]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_185,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != X1 ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1813_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2280,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != X1 ),
% 152.25/152.50 inference(copy,[status(esa)],[c_185]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2281,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 152.25/152.50 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2280]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_183,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1820_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2276,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_183]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2277,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2276]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_180,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_Int_Onumber__ring(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1821_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2270,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_Int_Onumber__ring(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_180]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2271,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2270]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_177,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1826_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2264,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_177]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2265,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.25/152.50 | ~ class_Int_Onumber__ring(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2264]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_175,plain,
% 152.25/152.50 ( c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1827_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2260,plain,
% 152.25/152.50 ( c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_175]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2261,plain,
% 152.25/152.50 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 152.25/152.50 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2260]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_171,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1829_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2252,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_171]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2253,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2252]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_169,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1830_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2248,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_169]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2249,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2248]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_167,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1831_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2244,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_167]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2245,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2244]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_165,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1832_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2240,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_165]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2241,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2240]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_163,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1833_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2236,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_163]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2237,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2236]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_161,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1834_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2232,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_161]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2233,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2232]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_157,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1836_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2224,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_157]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2225,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2224]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_155,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1837_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2220,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_155]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2221,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2220]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_153,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.25/152.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1838_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2216,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.25/152.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_153]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2217,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2216]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_151,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1839_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2212,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_151]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2213,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2212]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_149,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.25/152.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1840_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2208,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.25/152.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_149]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2209,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2208]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_147,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1841_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2204,plain,
% 152.25/152.50 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.25/152.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_147]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2205,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.25/152.50 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2204]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_145,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1842_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2200,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_145]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2201,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2200]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_141,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1845_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2192,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_141]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2193,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2192]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_139,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1846_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2188,plain,
% 152.25/152.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.25/152.50 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_139]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2189,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.25/152.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2188]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_137,plain,
% 152.25/152.50 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1
% 152.25/152.50 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1847_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2184,plain,
% 152.25/152.50 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1
% 152.25/152.50 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_137]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2185,plain,
% 152.25/152.50 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 152.25/152.50 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2184]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_135,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1848_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2180,plain,
% 152.25/152.50 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 152.25/152.50 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_135]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2181,plain,
% 152.25/152.50 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 152.25/152.50 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2180]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_133,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1853_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2176,plain,
% 152.25/152.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.25/152.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_133]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2177,plain,
% 152.25/152.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.25/152.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2176]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_130,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.25/152.50 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1865_2) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2170,plain,
% 152.25/152.50 ( X0 = X1
% 152.25/152.50 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.25/152.50 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_130]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2171,plain,
% 152.25/152.50 ( ~ class_Nat_Osemiring__char__0(X0)
% 152.25/152.50 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 152.25/152.50 | X1 = X2 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2170]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_128,plain,
% 152.25/152.50 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
% 152.25/152.50 | ~ c_InductTermi_OIT(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1866_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2166,plain,
% 152.25/152.50 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
% 152.25/152.50 | ~ c_InductTermi_OIT(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_128]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_126,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(X0,X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1867_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2162,plain,
% 152.25/152.50 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 152.25/152.50 | ~ c_Lambda_Obeta(X0,X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_126]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_124,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OApp(X2,X0) != c_Lambda_OdB_OApp(X3,X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1868_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2158,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OApp(X2,X0) != c_Lambda_OdB_OApp(X3,X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_124]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2159,plain,
% 152.25/152.50 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2158]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_122,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OApp(X0,X2) != c_Lambda_OdB_OApp(X1,X3) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1869_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2154,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OApp(X0,X2) != c_Lambda_OdB_OApp(X1,X3) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_122]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2155,plain,
% 152.25/152.50 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2154]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_120,plain,
% 152.25/152.50 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1870_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2150,plain,
% 152.25/152.50 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_120]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_118,plain,
% 152.25/152.50 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1876_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2146,plain,
% 152.25/152.50 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.25/152.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_118]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2147,plain,
% 152.25/152.50 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.25/152.50 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2146]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_116,plain,
% 152.25/152.50 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1877_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2142,plain,
% 152.25/152.50 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_116]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_114,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1878_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2138,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_114]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2139,plain,
% 152.25/152.50 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2138]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_112,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1879_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2134,plain,
% 152.25/152.50 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_112]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2135,plain,
% 152.25/152.50 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2134]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_108,plain,
% 152.25/152.50 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1881_1) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2126,plain,
% 152.25/152.50 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_108]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2127,plain,
% 152.25/152.50 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 152.25/152.50 inference(rewriting,[status(thm)],[c_2126]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_107,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1686_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2124,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_107]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_106,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1687_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2122,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_106]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_105,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1806_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2120,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_105]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_103,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1815_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2116,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_103]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_101,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1818_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2112,plain,
% 152.25/152.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_101]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_100,plain,
% 152.25/152.50 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1871_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2110,plain,
% 152.25/152.50 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_100]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_99,plain,
% 152.25/152.50 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1872_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2108,plain,
% 152.25/152.50 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_99]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_98,plain,
% 152.25/152.50 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1873_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2106,plain,
% 152.25/152.50 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_98]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_97,plain,
% 152.25/152.50 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1874_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2104,plain,
% 152.25/152.50 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.25/152.50 inference(copy,[status(esa)],[c_97]) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_96,plain,
% 152.25/152.50 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.25/152.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1875_0) ).
% 152.25/152.50
% 152.25/152.50 cnf(c_2102,plain,
% 152.25/152.51 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_96]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_95,plain,
% 152.25/152.51 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1882_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2100,plain,
% 152.25/152.51 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_95]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_94,plain,
% 152.25/152.51 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1883_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2098,plain,
% 152.25/152.51 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_94]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_90,plain,
% 152.25/152.51 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1887_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2090,plain,
% 152.25/152.51 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_90]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_88,plain,
% 152.25/152.51 ( c_Suc(X0) != X0 ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1890_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2086,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_88]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_85,plain,
% 152.25/152.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1569_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2081,plain,
% 152.25/152.51 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_85]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_79,plain,
% 152.25/152.51 ( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1638_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2074,plain,
% 152.25/152.51 ( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_79]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_77,plain,
% 152.25/152.51 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1659_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2071,plain,
% 152.25/152.51 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_77]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_72,plain,
% 152.25/152.51 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1664_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2065,plain,
% 152.25/152.51 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_72]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_67,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1678_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2058,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_67]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_66,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1679_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2056,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_66]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_59,plain,
% 152.25/152.51 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X0),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1736_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2048,plain,
% 152.25/152.51 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X0),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_59]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_58,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1737_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2046,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_58]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_48,plain,
% 152.25/152.51 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1791_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2033,plain,
% 152.25/152.51 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_48]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_47,plain,
% 152.25/152.51 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1792_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2031,plain,
% 152.25/152.51 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_47]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_40,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1843_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2023,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_40]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_38,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1850_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2019,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_38]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_34,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1855_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2013,plain,
% 152.25/152.51 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_34]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_24,plain,
% 152.25/152.51 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1888_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2002,plain,
% 152.25/152.51 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_24]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_23,plain,
% 152.25/152.51 ( class_Orderings_Oorder(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1891_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2000,plain,
% 152.25/152.51 ( class_Orderings_Oorder(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_23]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_22,plain,
% 152.25/152.51 ( class_Orderings_Olinorder(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1892_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1998,plain,
% 152.25/152.51 ( class_Orderings_Olinorder(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_22]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_21,plain,
% 152.25/152.51 ( class_Orderings_Opreorder(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1893_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1996,plain,
% 152.25/152.51 ( class_Orderings_Opreorder(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_21]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_20,plain,
% 152.25/152.51 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1894_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1994,plain,
% 152.25/152.51 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_20]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_19,plain,
% 152.25/152.51 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1895_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1992,plain,
% 152.25/152.51 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_19]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_18,plain,
% 152.25/152.51 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1896_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1990,plain,
% 152.25/152.51 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_18]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_17,plain,
% 152.25/152.51 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1897_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1988,plain,
% 152.25/152.51 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_17]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_16,plain,
% 152.25/152.51 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1898_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1986,plain,
% 152.25/152.51 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_16]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_15,plain,
% 152.25/152.51 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1899_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1984,plain,
% 152.25/152.51 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_15]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_14,plain,
% 152.25/152.51 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1900_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1982,plain,
% 152.25/152.51 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_14]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_13,plain,
% 152.25/152.51 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1901_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1980,plain,
% 152.25/152.51 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_13]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_12,plain,
% 152.25/152.51 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1902_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1978,plain,
% 152.25/152.51 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_12]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_11,plain,
% 152.25/152.51 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1903_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1976,plain,
% 152.25/152.51 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_11]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_10,plain,
% 152.25/152.51 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1904_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1974,plain,
% 152.25/152.51 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_10]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_9,plain,
% 152.25/152.51 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1905_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1972,plain,
% 152.25/152.51 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_9]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_8,plain,
% 152.25/152.51 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1906_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1970,plain,
% 152.25/152.51 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_8]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_7,plain,
% 152.25/152.51 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1907_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1968,plain,
% 152.25/152.51 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_7]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_6,plain,
% 152.25/152.51 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1908_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1966,plain,
% 152.25/152.51 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_6]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_5,plain,
% 152.25/152.51 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1909_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1964,plain,
% 152.25/152.51 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_5]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_4,plain,
% 152.25/152.51 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1910_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1962,plain,
% 152.25/152.51 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_4]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_3,plain,
% 152.25/152.51 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1911_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1960,plain,
% 152.25/152.51 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_3]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_2,plain,
% 152.25/152.51 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1912_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1958,plain,
% 152.25/152.51 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_2]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1,plain,
% 152.25/152.51 ( c_InductTermi_OIT(v_ta____) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1913_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1956,plain,
% 152.25/152.51 ( c_InductTermi_OIT(v_ta____) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_1]) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_0,plain,
% 152.25/152.51 ( c_InductTermi_OIT(v_s____) ),
% 152.25/152.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_971eb4.p', c_0_1914_0) ).
% 152.25/152.51
% 152.25/152.51 cnf(c_1954,plain,
% 152.25/152.51 ( c_InductTermi_OIT(v_s____) ),
% 152.25/152.51 inference(copy,[status(esa)],[c_0]) ).
% 152.25/152.51
% 152.25/152.51
% 152.25/152.51
% 152.25/152.51 % ------ Statistics
% 152.25/152.51
% 152.25/152.51 % ------ General
% 152.25/152.51
% 152.25/152.51 % num_of_input_clauses: 851
% 152.25/152.51 % num_of_input_neg_conjectures: 1
% 152.25/152.51 % num_of_splits: 0
% 152.25/152.51 % num_of_split_atoms: 0
% 152.25/152.51 % num_of_sem_filtered_clauses: 0
% 152.25/152.51 % num_of_subtypes: 0
% 152.25/152.51 % monotx_restored_types: 0
% 152.25/152.51 % sat_num_of_epr_types: 0
% 152.25/152.51 % sat_num_of_non_cyclic_types: 0
% 152.25/152.51 % sat_guarded_non_collapsed_types: 0
% 152.25/152.51 % is_epr: 0
% 152.25/152.51 % is_horn: 0
% 152.25/152.51 % has_eq: 1
% 152.25/152.51 % num_pure_diseq_elim: 0
% 152.25/152.51 % simp_replaced_by: 0
% 152.25/152.51 % res_preprocessed: 2
% 152.25/152.51 % prep_upred: 0
% 152.25/152.51 % prep_unflattend: 0
% 152.25/152.51 % pred_elim_cands: 0
% 152.25/152.51 % pred_elim: 0
% 152.25/152.51 % pred_elim_cl: 0
% 152.25/152.51 % pred_elim_cycles: 0
% 152.25/152.51 % forced_gc_time: 0
% 152.25/152.51 % gc_basic_clause_elim: 0
% 152.25/152.51 % parsing_time: 0.046
% 152.25/152.51 % sem_filter_time: 0.
% 152.25/152.51 % pred_elim_time: 0.
% 152.25/152.51 % out_proof_time: 0.
% 152.25/152.51 % monotx_time: 0.
% 152.25/152.51 % subtype_inf_time: 0.
% 152.25/152.51 % unif_index_cands_time: 0.
% 152.25/152.51 % unif_index_add_time: 0.
% 152.25/152.51 % total_time: 1.925
% 152.25/152.51 % num_of_symbols: 82
% 152.25/152.51 % num_of_terms: 1684
% 152.25/152.51
% 152.25/152.51 % ------ Propositional Solver
% 152.25/152.51
% 152.25/152.51 % prop_solver_calls: 1
% 152.25/152.51 % prop_fast_solver_calls: 3
% 152.25/152.51 % prop_num_of_clauses: 807
% 152.25/152.51 % prop_preprocess_simplified: 2537
% 152.25/152.51 % prop_fo_subsumed: 0
% 152.25/152.51 % prop_solver_time: 0.
% 152.25/152.51 % prop_fast_solver_time: 0.
% 152.25/152.51 % prop_unsat_core_time: 0.
% 152.25/152.51
% 152.25/152.51 % ------ QBF
% 152.25/152.51
% 152.25/152.51 % qbf_q_res: 0
% 152.25/152.51 % qbf_num_tautologies: 0
% 152.25/152.51 % qbf_prep_cycles: 0
% 152.25/152.51
% 152.25/152.51 % ------ BMC1
% 152.25/152.51
% 152.25/152.51 % bmc1_current_bound: -1
% 152.25/152.51 % bmc1_last_solved_bound: -1
% 152.25/152.51 % bmc1_unsat_core_size: -1
% 152.25/152.51 % bmc1_unsat_core_parents_size: -1
% 152.25/152.51 % bmc1_merge_next_fun: 0
% 152.25/152.51 % bmc1_unsat_core_clauses_time: 0.
% 152.25/152.51
% 152.25/152.51 % ------ Instantiation
% 152.25/152.51
% 152.25/152.51 % inst_num_of_clauses: 748
% 152.25/152.51 % inst_num_in_passive: 0
% 152.25/152.51 % inst_num_in_active: 0
% 152.25/152.51 % inst_num_in_unprocessed: 851
% 152.25/152.51 % inst_num_of_loops: 0
% 152.25/152.51 % inst_num_of_learning_restarts: 0
% 152.25/152.51 % inst_num_moves_active_passive: 0
% 152.25/152.51 % inst_lit_activity: 0
% 152.25/152.51 % inst_lit_activity_moves: 0
% 152.25/152.51 % inst_num_tautologies: 0
% 152.25/152.51 % inst_num_prop_implied: 0
% 152.25/152.51 % inst_num_existing_simplified: 0
% 152.25/152.51 % inst_num_eq_res_simplified: 0
% 152.25/152.51 % inst_num_child_elim: 0
% 152.25/152.51 % inst_num_of_dismatching_blockings: 0
% 152.25/152.51 % inst_num_of_non_proper_insts: 0
% 152.25/152.51 % inst_num_of_duplicates: 0
% 152.25/152.51 % inst_inst_num_from_inst_to_res: 0
% 152.25/152.51 % inst_dismatching_checking_time: 0.
% 152.25/152.51
% 152.25/152.51 % ------ Resolution
% 152.25/152.51
% 152.25/152.51 % res_num_of_clauses: 804
% 152.25/152.51 % res_num_in_passive: 0
% 152.25/152.51 % res_num_in_active: 323
% 152.25/152.51 % res_num_of_loops: 2
% 152.25/152.51 % res_forward_subset_subsumed: 484
% 152.25/152.51 % res_backward_subset_subsumed: 0
% 152.25/152.51 % res_forward_subsumed: 0
% 152.25/152.51 % res_backward_subsumed: 0
% 152.25/152.51 % res_forward_subsumption_resolution: 0
% 152.25/152.51 % res_backward_subsumption_resolution: 0
% 152.25/152.51 % res_clause_to_clause_subsumption: 0
% 152.25/152.51 % res_orphan_elimination: 0
% 152.25/152.51 % res_tautology_del: 0
% 152.25/152.51 % res_num_eq_res_simplified: 0
% 152.25/152.51 % res_num_sel_changes: 0
% 152.25/152.51 % res_moves_from_active_to_pass: 0
% 152.25/152.51
% 152.25/152.51 % Status Unknown
% 152.25/152.51 % Last status :
% 152.25/152.51 % SZS status Unknown
%------------------------------------------------------------------------------