TSTP Solution File: LCL800-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n004.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 11:39:55 EDT 2022
% Result : Unknown 152.05s 152.28s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 00:06:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.47 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.47 % Orientation found
% 0.21/0.47 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aed67d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_57d137 | grep -v "SZS"
% 0.21/0.49
% 0.21/0.49 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.49
% 0.21/0.49 %
% 0.21/0.49 % ------ iProver source info
% 0.21/0.49
% 0.21/0.49 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.49 % git: non_committed_changes: true
% 0.21/0.49 % git: last_make_outside_of_git: true
% 0.21/0.49
% 0.21/0.49 %
% 0.21/0.49 % ------ Input Options
% 0.21/0.49
% 0.21/0.49 % --out_options all
% 0.21/0.49 % --tptp_safe_out true
% 0.21/0.49 % --problem_path ""
% 0.21/0.49 % --include_path ""
% 0.21/0.49 % --clausifier .//eprover
% 0.21/0.49 % --clausifier_options --tstp-format
% 0.21/0.49 % --stdin false
% 0.21/0.49 % --dbg_backtrace false
% 0.21/0.49 % --dbg_dump_prop_clauses false
% 0.21/0.49 % --dbg_dump_prop_clauses_file -
% 0.21/0.49 % --dbg_out_stat false
% 0.21/0.49
% 0.21/0.49 % ------ General Options
% 0.21/0.49
% 0.21/0.49 % --fof false
% 0.21/0.49 % --time_out_real 150.
% 0.21/0.49 % --time_out_prep_mult 0.2
% 0.21/0.49 % --time_out_virtual -1.
% 0.21/0.49 % --schedule none
% 0.21/0.49 % --ground_splitting input
% 0.21/0.49 % --splitting_nvd 16
% 0.21/0.49 % --non_eq_to_eq false
% 0.21/0.49 % --prep_gs_sim true
% 0.21/0.49 % --prep_unflatten false
% 0.21/0.49 % --prep_res_sim true
% 0.21/0.49 % --prep_upred true
% 0.21/0.49 % --res_sim_input true
% 0.21/0.49 % --clause_weak_htbl true
% 0.21/0.49 % --gc_record_bc_elim false
% 0.21/0.49 % --symbol_type_check false
% 0.21/0.49 % --clausify_out false
% 0.21/0.49 % --large_theory_mode false
% 0.21/0.49 % --prep_sem_filter none
% 0.21/0.49 % --prep_sem_filter_out false
% 0.21/0.49 % --preprocessed_out false
% 0.21/0.49 % --sub_typing false
% 0.21/0.49 % --brand_transform false
% 0.21/0.49 % --pure_diseq_elim true
% 0.21/0.49 % --min_unsat_core false
% 0.21/0.49 % --pred_elim true
% 0.21/0.49 % --add_important_lit false
% 0.21/0.49 % --soft_assumptions false
% 0.21/0.49 % --reset_solvers false
% 0.21/0.49 % --bc_imp_inh []
% 0.21/0.49 % --conj_cone_tolerance 1.5
% 0.21/0.49 % --prolific_symb_bound 500
% 0.21/0.49 % --lt_threshold 2000
% 0.21/0.49
% 0.21/0.49 % ------ SAT Options
% 0.21/0.49
% 0.21/0.49 % --sat_mode false
% 0.21/0.49 % --sat_fm_restart_options ""
% 0.21/0.49 % --sat_gr_def false
% 0.21/0.49 % --sat_epr_types true
% 0.21/0.49 % --sat_non_cyclic_types false
% 0.21/0.49 % --sat_finite_models false
% 0.21/0.49 % --sat_fm_lemmas false
% 0.21/0.49 % --sat_fm_prep false
% 0.21/0.49 % --sat_fm_uc_incr true
% 0.21/0.49 % --sat_out_model small
% 0.21/0.49 % --sat_out_clauses false
% 0.21/0.49
% 0.21/0.49 % ------ QBF Options
% 0.21/0.49
% 0.21/0.49 % --qbf_mode false
% 0.21/0.49 % --qbf_elim_univ true
% 0.21/0.49 % --qbf_sk_in true
% 0.21/0.49 % --qbf_pred_elim true
% 0.21/0.49 % --qbf_split 32
% 0.21/0.49
% 0.21/0.49 % ------ BMC1 Options
% 0.21/0.49
% 0.21/0.49 % --bmc1_incremental false
% 0.21/0.49 % --bmc1_axioms reachable_all
% 0.21/0.49 % --bmc1_min_bound 0
% 0.21/0.49 % --bmc1_max_bound -1
% 0.21/0.49 % --bmc1_max_bound_default -1
% 0.21/0.49 % --bmc1_symbol_reachability true
% 0.21/0.49 % --bmc1_property_lemmas false
% 0.21/0.49 % --bmc1_k_induction false
% 0.21/0.49 % --bmc1_non_equiv_states false
% 0.21/0.49 % --bmc1_deadlock false
% 0.21/0.49 % --bmc1_ucm false
% 0.21/0.49 % --bmc1_add_unsat_core none
% 0.21/0.49 % --bmc1_unsat_core_children false
% 0.21/0.49 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.49 % --bmc1_out_stat full
% 0.21/0.49 % --bmc1_ground_init false
% 0.21/0.49 % --bmc1_pre_inst_next_state false
% 0.21/0.49 % --bmc1_pre_inst_state false
% 0.21/0.49 % --bmc1_pre_inst_reach_state false
% 0.21/0.49 % --bmc1_out_unsat_core false
% 0.21/0.49 % --bmc1_aig_witness_out false
% 0.21/0.49 % --bmc1_verbose false
% 0.21/0.49 % --bmc1_dump_clauses_tptp false
% 150.33/150.49 % --bmc1_dump_unsat_core_tptp false
% 150.33/150.49 % --bmc1_dump_file -
% 150.33/150.49 % --bmc1_ucm_expand_uc_limit 128
% 150.33/150.49 % --bmc1_ucm_n_expand_iterations 6
% 150.33/150.49 % --bmc1_ucm_extend_mode 1
% 150.33/150.49 % --bmc1_ucm_init_mode 2
% 150.33/150.49 % --bmc1_ucm_cone_mode none
% 150.33/150.49 % --bmc1_ucm_reduced_relation_type 0
% 150.33/150.49 % --bmc1_ucm_relax_model 4
% 150.33/150.49 % --bmc1_ucm_full_tr_after_sat true
% 150.33/150.49 % --bmc1_ucm_expand_neg_assumptions false
% 150.33/150.49 % --bmc1_ucm_layered_model none
% 150.33/150.49 % --bmc1_ucm_max_lemma_size 10
% 150.33/150.49
% 150.33/150.49 % ------ AIG Options
% 150.33/150.49
% 150.33/150.49 % --aig_mode false
% 150.33/150.49
% 150.33/150.49 % ------ Instantiation Options
% 150.33/150.49
% 150.33/150.49 % --instantiation_flag true
% 150.33/150.49 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.33/150.49 % --inst_solver_per_active 750
% 150.33/150.49 % --inst_solver_calls_frac 0.5
% 150.33/150.49 % --inst_passive_queue_type priority_queues
% 150.33/150.49 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.33/150.49 % --inst_passive_queues_freq [25;2]
% 150.33/150.49 % --inst_dismatching true
% 150.33/150.49 % --inst_eager_unprocessed_to_passive true
% 150.33/150.49 % --inst_prop_sim_given true
% 150.33/150.49 % --inst_prop_sim_new false
% 150.33/150.49 % --inst_orphan_elimination true
% 150.33/150.49 % --inst_learning_loop_flag true
% 150.33/150.49 % --inst_learning_start 3000
% 150.33/150.49 % --inst_learning_factor 2
% 150.33/150.49 % --inst_start_prop_sim_after_learn 3
% 150.33/150.49 % --inst_sel_renew solver
% 150.33/150.49 % --inst_lit_activity_flag true
% 150.33/150.49 % --inst_out_proof true
% 150.33/150.49
% 150.33/150.49 % ------ Resolution Options
% 150.33/150.49
% 150.33/150.49 % --resolution_flag true
% 150.33/150.49 % --res_lit_sel kbo_max
% 150.33/150.49 % --res_to_prop_solver none
% 150.33/150.49 % --res_prop_simpl_new false
% 150.33/150.49 % --res_prop_simpl_given false
% 150.33/150.49 % --res_passive_queue_type priority_queues
% 150.33/150.49 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.33/150.49 % --res_passive_queues_freq [15;5]
% 150.33/150.49 % --res_forward_subs full
% 150.33/150.49 % --res_backward_subs full
% 150.33/150.49 % --res_forward_subs_resolution true
% 150.33/150.49 % --res_backward_subs_resolution true
% 150.33/150.49 % --res_orphan_elimination false
% 150.33/150.49 % --res_time_limit 1000.
% 150.33/150.49 % --res_out_proof true
% 150.33/150.49 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aed67d.s
% 150.33/150.49 % --modulo true
% 150.33/150.49
% 150.33/150.49 % ------ Combination Options
% 150.33/150.49
% 150.33/150.49 % --comb_res_mult 1000
% 150.33/150.49 % --comb_inst_mult 300
% 150.33/150.49 % ------
% 150.33/150.49
% 150.33/150.49 % ------ Parsing...% successful
% 150.33/150.49
% 150.33/150.49 % ------ 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 %
% 150.33/150.49
% 150.33/150.49 % ------ Proving...
% 150.33/150.49 % ------ Problem Properties
% 150.33/150.49
% 150.33/150.49 %
% 150.33/150.49 % EPR false
% 150.33/150.49 % Horn false
% 150.33/150.49 % Has equality true
% 150.33/150.49
% 150.33/150.49 % % ------ Input Options Time Limit: Unbounded
% 150.33/150.49
% 150.33/150.49
% 150.33/150.49 Compiling...
% 150.33/150.49 Loading plugin: done.
% 150.33/150.49 %
% 150.33/150.49
% 150.33/150.49
% 150.33/150.49 % Time Out Real
% 150.33/150.49
% 150.33/150.49 % ------ Statistics
% 150.33/150.49
% 150.33/150.49 % ------ General
% 150.33/150.49
% 150.33/150.49 % num_of_input_clauses: 859
% 150.33/150.49 % num_of_input_neg_conjectures: 1
% 150.33/150.49 % num_of_splits: 0
% 150.33/150.49 % num_of_split_atoms: 0
% 150.33/150.49 % num_of_sem_filtered_clauses: 0
% 150.33/150.49 % num_of_subtypes: 0
% 150.33/150.49 % monotx_restored_types: 0
% 150.33/150.49 % sat_num_of_epr_types: 0
% 150.33/150.49 % sat_num_of_non_cyclic_types: 0
% 150.33/150.49 % sat_guarded_non_collapsed_types: 0
% 150.33/150.49 % is_epr: 0
% 150.33/150.49 % is_horn: 0
% 150.33/150.49 % has_eq: 1
% 150.33/150.49 % num_pure_diseq_elim: 0
% 150.33/150.49 % simp_replaced_by: 0
% 150.33/150.49 % res_preprocessed: 2
% 150.33/150.49 % prep_upred: 0
% 150.33/150.49 % prep_unflattend: 0
% 150.33/150.49 % pred_elim_cands: 0
% 150.33/150.49 % pred_elim: 0
% 150.33/150.49 % pred_elim_cl: 0
% 150.33/150.49 % pred_elim_cycles: 0
% 150.33/150.49 % forced_gc_time: 0
% 150.33/150.49 % gc_basic_clause_elim: 0
% 150.33/150.49 % parsing_time: 0.046
% 150.33/150.49 % sem_filter_time: 0.
% 150.33/150.49 % pred_elim_time: 0.
% 150.33/150.49 % out_proof_time: 0.
% 150.33/150.49 % monotx_time: 0.
% 150.33/150.49 % subtype_inf_time: 0.
% 150.33/150.49 % unif_index_cands_time: 0.
% 150.33/150.49 % unif_index_add_time: 0.
% 150.33/150.49 % total_time: 150.017
% 150.33/150.49 % num_of_symbols: 89
% 150.33/150.49 % num_of_terms: 2297
% 150.33/150.49
% 150.33/150.49 % ------ Propositional Solver
% 150.33/150.49
% 150.33/150.49 % prop_solver_calls: 1
% 150.33/150.49 % prop_fast_solver_calls: 3
% 150.33/150.49 % prop_num_of_clauses: 747
% 150.33/150.49 % prop_preprocess_simplified: 2625
% 150.33/150.49 % prop_fo_subsumed: 0
% 150.33/150.49 % prop_solver_time: 0.
% 150.33/150.49 % prop_fast_solver_time: 0.
% 150.33/150.49 % prop_unsat_core_time: 0.
% 150.33/150.49
% 150.33/150.49 % ------ QBF
% 150.33/150.49
% 150.33/150.49 % qbf_q_res: 0
% 150.33/150.49 % qbf_num_tautologies: 0
% 150.33/150.49 % qbf_prep_cycles: 0
% 150.33/150.49
% 150.33/150.49 % ------ BMC1
% 150.33/150.49
% 150.33/150.49 % bmc1_current_bound: -1
% 150.33/150.49 % bmc1_last_solved_bound: -1
% 150.33/150.49 % bmc1_unsat_core_size: -1
% 150.33/150.49 % bmc1_unsat_core_parents_size: -1
% 150.33/150.49 % bmc1_merge_next_fun: 0
% 150.33/150.49 % bmc1_unsat_core_clauses_time: 0.
% 150.33/150.49
% 150.33/150.49 % ------ Instantiation
% 150.33/150.49
% 150.33/150.49 % inst_num_of_clauses: 761
% 150.33/150.49 % inst_num_in_passive: 0
% 150.33/150.49 % inst_num_in_active: 0
% 150.33/150.49 % inst_num_in_unprocessed: 859
% 150.33/150.49 % inst_num_of_loops: 0
% 150.33/150.49 % inst_num_of_learning_restarts: 0
% 150.33/150.49 % inst_num_moves_active_passive: 0
% 150.33/150.49 % inst_lit_activity: 0
% 150.33/150.49 % inst_lit_activity_moves: 0
% 150.33/150.49 % inst_num_tautologies: 0
% 150.33/150.49 % inst_num_prop_implied: 0
% 150.33/150.49 % inst_num_existing_simplified: 0
% 150.33/150.49 % inst_num_eq_res_simplified: 0
% 150.33/150.49 % inst_num_child_elim: 0
% 150.33/150.49 % inst_num_of_dismatching_blockings: 0
% 150.33/150.49 % inst_num_of_non_proper_insts: 0
% 150.33/150.49 % inst_num_of_duplicates: 0
% 150.33/150.49 % inst_inst_num_from_inst_to_res: 0
% 150.33/150.49 % inst_dismatching_checking_time: 0.
% 150.33/150.49
% 150.33/150.49 % ------ Resolution
% 150.33/150.49
% 150.33/150.49 % res_num_of_clauses: 738
% 150.33/150.49 % res_num_in_passive: 0
% 150.33/150.49 % res_num_in_active: 274
% 150.33/150.49 % res_num_of_loops: 0
% 150.33/150.49 % res_forward_subset_subsumed: 473
% 150.33/150.49 % res_backward_subset_subsumed: 0
% 150.33/150.49 % res_forward_subsumed: 0
% 150.33/150.49 % res_backward_subsumed: 0
% 150.33/150.49 % res_forward_subsumption_resolution: 0
% 150.33/150.49 % res_backward_subsumption_resolution: 0
% 150.33/150.49 % res_clause_to_clause_subsumption: 0
% 150.33/150.49 % res_orphan_elimination: 0
% 150.33/150.49 % res_tautology_del: 0
% 150.33/150.49 % res_num_eq_res_simplified: 0
% 150.33/150.49 % res_num_sel_changes: 0
% 150.33/150.49 % res_moves_from_active_to_pass: 0
% 150.33/150.49
% 150.33/150.50 % Status Unknown
% 150.36/150.59 % Orienting using strategy ClausalAll
% 150.36/150.59 % Orientation found
% 150.36/150.59 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aed67d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_97288a | grep -v "SZS"
% 150.36/150.61
% 150.36/150.61 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.36/150.61
% 150.36/150.61 %
% 150.36/150.61 % ------ iProver source info
% 150.36/150.61
% 150.36/150.61 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.36/150.61 % git: non_committed_changes: true
% 150.36/150.61 % git: last_make_outside_of_git: true
% 150.36/150.61
% 150.36/150.61 %
% 150.36/150.61 % ------ Input Options
% 150.36/150.61
% 150.36/150.61 % --out_options all
% 150.36/150.61 % --tptp_safe_out true
% 150.36/150.61 % --problem_path ""
% 150.36/150.61 % --include_path ""
% 150.36/150.61 % --clausifier .//eprover
% 150.36/150.61 % --clausifier_options --tstp-format
% 150.36/150.61 % --stdin false
% 150.36/150.61 % --dbg_backtrace false
% 150.36/150.61 % --dbg_dump_prop_clauses false
% 150.36/150.61 % --dbg_dump_prop_clauses_file -
% 150.36/150.61 % --dbg_out_stat false
% 150.36/150.61
% 150.36/150.61 % ------ General Options
% 150.36/150.61
% 150.36/150.61 % --fof false
% 150.36/150.61 % --time_out_real 150.
% 150.36/150.61 % --time_out_prep_mult 0.2
% 150.36/150.61 % --time_out_virtual -1.
% 150.36/150.61 % --schedule none
% 150.36/150.61 % --ground_splitting input
% 150.36/150.61 % --splitting_nvd 16
% 150.36/150.61 % --non_eq_to_eq false
% 150.36/150.61 % --prep_gs_sim true
% 150.36/150.61 % --prep_unflatten false
% 150.36/150.61 % --prep_res_sim true
% 150.36/150.61 % --prep_upred true
% 150.36/150.61 % --res_sim_input true
% 150.36/150.61 % --clause_weak_htbl true
% 150.36/150.61 % --gc_record_bc_elim false
% 150.36/150.61 % --symbol_type_check false
% 150.36/150.61 % --clausify_out false
% 150.36/150.61 % --large_theory_mode false
% 150.36/150.61 % --prep_sem_filter none
% 150.36/150.61 % --prep_sem_filter_out false
% 150.36/150.61 % --preprocessed_out false
% 150.36/150.61 % --sub_typing false
% 150.36/150.61 % --brand_transform false
% 150.36/150.61 % --pure_diseq_elim true
% 150.36/150.61 % --min_unsat_core false
% 150.36/150.61 % --pred_elim true
% 150.36/150.61 % --add_important_lit false
% 150.36/150.61 % --soft_assumptions false
% 150.36/150.61 % --reset_solvers false
% 150.36/150.61 % --bc_imp_inh []
% 150.36/150.61 % --conj_cone_tolerance 1.5
% 150.36/150.61 % --prolific_symb_bound 500
% 150.36/150.61 % --lt_threshold 2000
% 150.36/150.61
% 150.36/150.61 % ------ SAT Options
% 150.36/150.61
% 150.36/150.61 % --sat_mode false
% 150.36/150.61 % --sat_fm_restart_options ""
% 150.36/150.61 % --sat_gr_def false
% 150.36/150.61 % --sat_epr_types true
% 150.36/150.61 % --sat_non_cyclic_types false
% 150.36/150.61 % --sat_finite_models false
% 150.36/150.61 % --sat_fm_lemmas false
% 150.36/150.61 % --sat_fm_prep false
% 150.36/150.61 % --sat_fm_uc_incr true
% 150.36/150.61 % --sat_out_model small
% 150.36/150.61 % --sat_out_clauses false
% 150.36/150.61
% 150.36/150.61 % ------ QBF Options
% 150.36/150.61
% 150.36/150.61 % --qbf_mode false
% 150.36/150.61 % --qbf_elim_univ true
% 150.36/150.61 % --qbf_sk_in true
% 150.36/150.61 % --qbf_pred_elim true
% 150.36/150.61 % --qbf_split 32
% 150.36/150.61
% 150.36/150.61 % ------ BMC1 Options
% 150.36/150.61
% 150.36/150.61 % --bmc1_incremental false
% 150.36/150.61 % --bmc1_axioms reachable_all
% 150.36/150.61 % --bmc1_min_bound 0
% 150.36/150.61 % --bmc1_max_bound -1
% 150.36/150.61 % --bmc1_max_bound_default -1
% 150.36/150.61 % --bmc1_symbol_reachability true
% 150.36/150.61 % --bmc1_property_lemmas false
% 150.36/150.61 % --bmc1_k_induction false
% 150.36/150.61 % --bmc1_non_equiv_states false
% 150.36/150.61 % --bmc1_deadlock false
% 150.36/150.61 % --bmc1_ucm false
% 150.36/150.61 % --bmc1_add_unsat_core none
% 150.36/150.61 % --bmc1_unsat_core_children false
% 150.36/150.61 % --bmc1_unsat_core_extrapolate_axioms false
% 150.36/150.61 % --bmc1_out_stat full
% 150.36/150.61 % --bmc1_ground_init false
% 150.36/150.61 % --bmc1_pre_inst_next_state false
% 150.36/150.61 % --bmc1_pre_inst_state false
% 150.36/150.61 % --bmc1_pre_inst_reach_state false
% 150.36/150.61 % --bmc1_out_unsat_core false
% 150.36/150.61 % --bmc1_aig_witness_out false
% 150.36/150.61 % --bmc1_verbose false
% 150.36/150.61 % --bmc1_dump_clauses_tptp false
% 152.04/152.24 % --bmc1_dump_unsat_core_tptp false
% 152.04/152.24 % --bmc1_dump_file -
% 152.04/152.24 % --bmc1_ucm_expand_uc_limit 128
% 152.04/152.24 % --bmc1_ucm_n_expand_iterations 6
% 152.04/152.24 % --bmc1_ucm_extend_mode 1
% 152.04/152.24 % --bmc1_ucm_init_mode 2
% 152.04/152.24 % --bmc1_ucm_cone_mode none
% 152.04/152.24 % --bmc1_ucm_reduced_relation_type 0
% 152.04/152.24 % --bmc1_ucm_relax_model 4
% 152.04/152.24 % --bmc1_ucm_full_tr_after_sat true
% 152.04/152.24 % --bmc1_ucm_expand_neg_assumptions false
% 152.04/152.24 % --bmc1_ucm_layered_model none
% 152.04/152.24 % --bmc1_ucm_max_lemma_size 10
% 152.04/152.24
% 152.04/152.24 % ------ AIG Options
% 152.04/152.24
% 152.04/152.24 % --aig_mode false
% 152.04/152.24
% 152.04/152.24 % ------ Instantiation Options
% 152.04/152.24
% 152.04/152.24 % --instantiation_flag true
% 152.04/152.24 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.04/152.24 % --inst_solver_per_active 750
% 152.04/152.24 % --inst_solver_calls_frac 0.5
% 152.04/152.24 % --inst_passive_queue_type priority_queues
% 152.04/152.24 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.04/152.24 % --inst_passive_queues_freq [25;2]
% 152.04/152.24 % --inst_dismatching true
% 152.04/152.24 % --inst_eager_unprocessed_to_passive true
% 152.04/152.24 % --inst_prop_sim_given true
% 152.04/152.24 % --inst_prop_sim_new false
% 152.04/152.24 % --inst_orphan_elimination true
% 152.04/152.24 % --inst_learning_loop_flag true
% 152.04/152.24 % --inst_learning_start 3000
% 152.04/152.24 % --inst_learning_factor 2
% 152.04/152.24 % --inst_start_prop_sim_after_learn 3
% 152.04/152.24 % --inst_sel_renew solver
% 152.04/152.24 % --inst_lit_activity_flag true
% 152.04/152.24 % --inst_out_proof true
% 152.04/152.24
% 152.04/152.24 % ------ Resolution Options
% 152.04/152.24
% 152.04/152.24 % --resolution_flag true
% 152.04/152.24 % --res_lit_sel kbo_max
% 152.04/152.24 % --res_to_prop_solver none
% 152.04/152.24 % --res_prop_simpl_new false
% 152.04/152.24 % --res_prop_simpl_given false
% 152.04/152.24 % --res_passive_queue_type priority_queues
% 152.04/152.24 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.04/152.24 % --res_passive_queues_freq [15;5]
% 152.04/152.24 % --res_forward_subs full
% 152.04/152.24 % --res_backward_subs full
% 152.04/152.24 % --res_forward_subs_resolution true
% 152.04/152.24 % --res_backward_subs_resolution true
% 152.04/152.24 % --res_orphan_elimination false
% 152.04/152.24 % --res_time_limit 1000.
% 152.04/152.24 % --res_out_proof true
% 152.04/152.24 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aed67d.s
% 152.04/152.24 % --modulo true
% 152.04/152.24
% 152.04/152.24 % ------ Combination Options
% 152.04/152.24
% 152.04/152.24 % --comb_res_mult 1000
% 152.04/152.24 % --comb_inst_mult 300
% 152.04/152.24 % ------
% 152.04/152.24
% 152.04/152.24 % ------ Parsing...% successful
% 152.04/152.24
% 152.04/152.24 % ------ 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 %
% 152.04/152.24
% 152.04/152.24 % ------ Proving...
% 152.04/152.24 % ------ Problem Properties
% 152.04/152.24
% 152.04/152.24 %
% 152.04/152.24 % EPR false
% 152.04/152.24 % Horn false
% 152.04/152.24 % Has equality true
% 152.04/152.24
% 152.04/152.24 % % ------ Input Options Time Limit: Unbounded
% 152.04/152.24
% 152.04/152.24
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 Compiling...
% 152.04/152.24 Loading plugin: done.
% 152.04/152.24 % % ------ Current options:
% 152.04/152.24
% 152.04/152.24 % ------ Input Options
% 152.04/152.24
% 152.04/152.24 % --out_options all
% 152.04/152.24 % --tptp_safe_out true
% 152.04/152.24 % --problem_path ""
% 152.04/152.24 % --include_path ""
% 152.04/152.24 % --clausifier .//eprover
% 152.04/152.24 % --clausifier_options --tstp-format
% 152.04/152.24 % --stdin false
% 152.04/152.24 % --dbg_backtrace false
% 152.04/152.24 % --dbg_dump_prop_clauses false
% 152.04/152.24 % --dbg_dump_prop_clauses_file -
% 152.04/152.24 % --dbg_out_stat false
% 152.04/152.24
% 152.04/152.24 % ------ General Options
% 152.04/152.24
% 152.04/152.24 % --fof false
% 152.04/152.24 % --time_out_real 150.
% 152.04/152.24 % --time_out_prep_mult 0.2
% 152.04/152.24 % --time_out_virtual -1.
% 152.04/152.24 % --schedule none
% 152.04/152.24 % --ground_splitting input
% 152.04/152.24 % --splitting_nvd 16
% 152.04/152.24 % --non_eq_to_eq false
% 152.04/152.24 % --prep_gs_sim true
% 152.04/152.24 % --prep_unflatten false
% 152.04/152.24 % --prep_res_sim true
% 152.04/152.24 % --prep_upred true
% 152.04/152.24 % --res_sim_input true
% 152.04/152.24 % --clause_weak_htbl true
% 152.04/152.24 % --gc_record_bc_elim false
% 152.04/152.24 % --symbol_type_check false
% 152.04/152.24 % --clausify_out false
% 152.04/152.24 % --large_theory_mode false
% 152.04/152.24 % --prep_sem_filter none
% 152.04/152.24 % --prep_sem_filter_out false
% 152.04/152.24 % --preprocessed_out false
% 152.04/152.24 % --sub_typing false
% 152.04/152.24 % --brand_transform false
% 152.04/152.24 % --pure_diseq_elim true
% 152.04/152.24 % --min_unsat_core false
% 152.04/152.24 % --pred_elim true
% 152.04/152.24 % --add_important_lit false
% 152.04/152.24 % --soft_assumptions false
% 152.04/152.24 % --reset_solvers false
% 152.04/152.24 % --bc_imp_inh []
% 152.04/152.24 % --conj_cone_tolerance 1.5
% 152.04/152.24 % --prolific_symb_bound 500
% 152.04/152.24 % --lt_threshold 2000
% 152.04/152.24
% 152.04/152.24 % ------ SAT Options
% 152.04/152.24
% 152.04/152.24 % --sat_mode false
% 152.04/152.24 % --sat_fm_restart_options ""
% 152.04/152.24 % --sat_gr_def false
% 152.04/152.24 % --sat_epr_types true
% 152.04/152.24 % --sat_non_cyclic_types false
% 152.04/152.24 % --sat_finite_models false
% 152.04/152.24 % --sat_fm_lemmas false
% 152.04/152.24 % --sat_fm_prep false
% 152.04/152.24 % --sat_fm_uc_incr true
% 152.04/152.24 % --sat_out_model small
% 152.04/152.24 % --sat_out_clauses false
% 152.04/152.24
% 152.04/152.24 % ------ QBF Options
% 152.04/152.24
% 152.04/152.24 % --qbf_mode false
% 152.04/152.24 % --qbf_elim_univ true
% 152.04/152.24 % --qbf_sk_in true
% 152.04/152.24 % --qbf_pred_elim true
% 152.04/152.24 % --qbf_split 32
% 152.04/152.24
% 152.04/152.24 % ------ BMC1 Options
% 152.04/152.24
% 152.04/152.24 % --bmc1_incremental false
% 152.04/152.24 % --bmc1_axioms reachable_all
% 152.04/152.24 % --bmc1_min_bound 0
% 152.04/152.24 % --bmc1_max_bound -1
% 152.04/152.24 % --bmc1_max_bound_default -1
% 152.04/152.24 % --bmc1_symbol_reachability true
% 152.04/152.24 % --bmc1_property_lemmas false
% 152.04/152.24 % --bmc1_k_induction false
% 152.04/152.24 % --bmc1_non_equiv_states false
% 152.04/152.24 % --bmc1_deadlock false
% 152.04/152.24 % --bmc1_ucm false
% 152.04/152.24 % --bmc1_add_unsat_core none
% 152.04/152.24 % --bmc1_unsat_core_children false
% 152.04/152.24 % --bmc1_unsat_core_extrapolate_axioms false
% 152.04/152.24 % --bmc1_out_stat full
% 152.04/152.24 % --bmc1_ground_init false
% 152.04/152.24 % --bmc1_pre_inst_next_state false
% 152.04/152.24 % --bmc1_pre_inst_state false
% 152.04/152.24 % --bmc1_pre_inst_reach_state false
% 152.04/152.24 % --bmc1_out_unsat_core false
% 152.04/152.24 % --bmc1_aig_witness_out false
% 152.04/152.24 % --bmc1_verbose false
% 152.04/152.24 % --bmc1_dump_clauses_tptp false
% 152.04/152.24 % --bmc1_dump_unsat_core_tptp false
% 152.04/152.24 % --bmc1_dump_file -
% 152.04/152.24 % --bmc1_ucm_expand_uc_limit 128
% 152.04/152.24 % --bmc1_ucm_n_expand_iterations 6
% 152.04/152.24 % --bmc1_ucm_extend_mode 1
% 152.04/152.24 % --bmc1_ucm_init_mode 2
% 152.04/152.24 % --bmc1_ucm_cone_mode none
% 152.04/152.24 % --bmc1_ucm_reduced_relation_type 0
% 152.04/152.24 % --bmc1_ucm_relax_model 4
% 152.04/152.24 % --bmc1_ucm_full_tr_after_sat true
% 152.04/152.24 % --bmc1_ucm_expand_neg_assumptions false
% 152.04/152.24 % --bmc1_ucm_layered_model none
% 152.04/152.24 % --bmc1_ucm_max_lemma_size 10
% 152.04/152.24
% 152.04/152.24 % ------ AIG Options
% 152.04/152.24
% 152.04/152.24 % --aig_mode false
% 152.04/152.24
% 152.04/152.24 % ------ Instantiation Options
% 152.04/152.24
% 152.04/152.24 % --instantiation_flag true
% 152.04/152.24 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.04/152.24 % --inst_solver_per_active 750
% 152.04/152.24 % --inst_solver_calls_frac 0.5
% 152.04/152.24 % --inst_passive_queue_type priority_queues
% 152.04/152.24 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.04/152.24 % --inst_passive_queues_freq [25;2]
% 152.04/152.24 % --inst_dismatching true
% 152.04/152.24 % --inst_eager_unprocessed_to_passive true
% 152.04/152.24 % --inst_prop_sim_given true
% 152.04/152.24 % --inst_prop_sim_new false
% 152.04/152.24 % --inst_orphan_elimination true
% 152.04/152.24 % --inst_learning_loop_flag true
% 152.04/152.24 % --inst_learning_start 3000
% 152.04/152.24 % --inst_learning_factor 2
% 152.04/152.24 % --inst_start_prop_sim_after_learn 3
% 152.04/152.24 % --inst_sel_renew solver
% 152.04/152.24 % --inst_lit_activity_flag true
% 152.04/152.24 % --inst_out_proof true
% 152.04/152.24
% 152.04/152.24 % ------ Resolution Options
% 152.04/152.24
% 152.04/152.24 % --resolution_flag true
% 152.04/152.24 % --res_lit_sel kbo_max
% 152.04/152.24 % --res_to_prop_solver none
% 152.04/152.24 % --res_prop_simpl_new false
% 152.04/152.24 % --res_prop_simpl_given false
% 152.04/152.24 % --res_passive_queue_type priority_queues
% 152.04/152.24 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.04/152.24 % --res_passive_queues_freq [15;5]
% 152.04/152.24 % --res_forward_subs full
% 152.04/152.24 % --res_backward_subs full
% 152.04/152.24 % --res_forward_subs_resolution true
% 152.04/152.24 % --res_backward_subs_resolution true
% 152.04/152.24 % --res_orphan_elimination false
% 152.04/152.24 % --res_time_limit 1000.
% 152.04/152.24 % --res_out_proof true
% 152.04/152.24 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aed67d.s
% 152.04/152.24 % --modulo true
% 152.04/152.24
% 152.04/152.24 % ------ Combination Options
% 152.04/152.24
% 152.04/152.24 % --comb_res_mult 1000
% 152.04/152.24 % --comb_inst_mult 300
% 152.04/152.24 % ------
% 152.04/152.24
% 152.04/152.24
% 152.04/152.24
% 152.04/152.24 % ------ Proving...
% 152.04/152.24 % warning: shown sat in sat incomplete mode
% 152.04/152.24 %
% 152.04/152.24
% 152.04/152.24
% 152.04/152.24
% 152.04/152.24
% 152.04/152.24 cnf(c_858,negated_conjecture,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_4) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_1106,negated_conjecture,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_858]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_1110,negated_conjecture,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_1106]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_1111,negated_conjecture,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_1110]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_1112,negated_conjecture,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_1111]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3642,negated_conjecture,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_1112]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3643,plain,
% 152.04/152.24 ( ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_n____))) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3642]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_855,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1556_2) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3636,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_855]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3637,plain,
% 152.04/152.24 ( ~ 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)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3636]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_846,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1559_2) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3618,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_846]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3619,plain,
% 152.04/152.24 ( ~ 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)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3618]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_807,plain,
% 152.04/152.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1574_2) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3540,plain,
% 152.04/152.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_807]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3541,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.04/152.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3540]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_804,plain,
% 152.04/152.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1575_2) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3534,plain,
% 152.04/152.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_804]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3535,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.04/152.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3534]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_800,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1576_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3526,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_800]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3527,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3526]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_796,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1577_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3518,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_796]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3519,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3518]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_789,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1579_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3504,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_789]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3505,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3504]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_785,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1580_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3496,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_785]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3497,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3496]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_775,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1583_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3476,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_775]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3477,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3476]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_771,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1584_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3468,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_771]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3469,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3468]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_767,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1585_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3460,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_767]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3461,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3460]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_763,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1586_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3452,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_763]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3453,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3452]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_758,plain,
% 152.04/152.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1589_0) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3442,plain,
% 152.04/152.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_758]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3443,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3442]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_755,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1589_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3436,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_755]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3437,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3436]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_754,plain,
% 152.04/152.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1590_0) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3434,plain,
% 152.04/152.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_754]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3435,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3434]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_751,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1590_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3428,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_751]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3429,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.04/152.24 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3428]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_713,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1606_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3352,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_713]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3353,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3352]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_685,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1613_3) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3296,plain,
% 152.04/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_685]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3297,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.04/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3296]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_679,plain,
% 152.04/152.24 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1615_1) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3284,plain,
% 152.04/152.24 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_679]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3285,plain,
% 152.04/152.24 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.04/152.24 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3284]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_646,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.04/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1627_1) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3218,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.04/152.24 | 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)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.04/152.24 inference(copy,[status(esa)],[c_646]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_3219,plain,
% 152.04/152.24 ( 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)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.04/152.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.04/152.24 inference(rewriting,[status(thm)],[c_3218]) ).
% 152.04/152.24
% 152.04/152.24 cnf(c_643,plain,
% 152.04/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.24 | 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)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1628_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3212,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.24 | 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)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_643]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3213,plain,
% 152.05/152.24 ( 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)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3212]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_640,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1629_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3206,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_640]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3207,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3206]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_638,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1629_3) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3202,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_638]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3203,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3202]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_636,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1630_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3198,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_636]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3199,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3198]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_634,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1630_3) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3194,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_634]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3195,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3194]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_625,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | 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)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1638_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3176,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | 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)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_625]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3177,plain,
% 152.05/152.24 ( 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)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3176]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_614,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1641_3) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3154,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_614]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3155,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3154]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_608,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1643_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3142,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_608]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3143,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3142]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_604,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1644_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3134,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_604]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3135,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3134]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_600,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1645_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3126,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_600]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3127,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3126]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_596,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1646_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3118,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_596]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3119,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3118]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_588,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1648_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3102,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_588]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3103,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3102]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_585,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1649_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3096,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_585]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3097,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3096]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_569,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1654_3) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3064,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_569]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3065,plain,
% 152.05/152.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3064]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_563,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1657_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3052,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_563]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3053,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3052]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_560,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1658_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3046,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_560]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3047,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3046]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_556,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1659_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3038,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_556]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3039,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3038]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_553,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1660_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3032,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_553]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3033,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3032]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_550,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.05/152.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1661_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3026,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.05/152.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_550]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_3027,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_3026]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_515,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1679_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2956,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_515]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2957,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2956]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_514,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1680_0) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2954,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_514]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2955,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2954]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_511,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1680_3) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2948,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_511]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2949,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2948]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_510,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1681_0) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2946,plain,
% 152.05/152.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_510]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2947,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2946]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_507,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1681_3) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2940,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_507]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2941,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.05/152.24 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2940]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_500,plain,
% 152.05/152.24 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1695_0) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2926,plain,
% 152.05/152.24 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_500]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2927,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.05/152.24 | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2926]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_477,plain,
% 152.05/152.24 ( X0 = X1
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.05/152.24 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1706_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2880,plain,
% 152.05/152.24 ( X0 = X1
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.05/152.24 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_477]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2881,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 152.05/152.24 | X1 = X2 ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2880]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_442,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1723_1) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2810,plain,
% 152.05/152.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_442]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2811,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2810]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_386,plain,
% 152.05/152.24 ( X0 = X1
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1747_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2698,plain,
% 152.05/152.24 ( X0 = X1
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_386]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2699,plain,
% 152.05/152.24 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.24 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.24 | X0 = X1 ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2698]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_383,plain,
% 152.05/152.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1748_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2692,plain,
% 152.05/152.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_383]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2693,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2692]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_336,plain,
% 152.05/152.24 ( c_Suc(X0) = X1
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.24 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1775_2) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2598,plain,
% 152.05/152.24 ( c_Suc(X0) = X1
% 152.05/152.24 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.24 inference(copy,[status(esa)],[c_336]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_2599,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.24 | c_Suc(X0) = X1 ),
% 152.05/152.24 inference(rewriting,[status(thm)],[c_2598]) ).
% 152.05/152.24
% 152.05/152.24 cnf(c_322,plain,
% 152.05/152.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | X1 = X0
% 152.05/152.25 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1781_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2570,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | X1 = X0
% 152.05/152.25 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_322]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2571,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.05/152.25 | X1 = X0 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_2570]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_319,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | X1 = X0
% 152.05/152.25 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1782_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2564,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | X1 = X0
% 152.05/152.25 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_319]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2565,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.05/152.25 | X1 = X0 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_2564]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_317,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.25 | X2 = X1
% 152.05/152.25 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1783_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2560,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.25 | X2 = X1
% 152.05/152.25 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_317]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2561,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.05/152.25 | X1 = X0 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_2560]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_315,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1783_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2556,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_315]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2557,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.05/152.25 | X0 = X1 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_2556]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_259,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1807_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2444,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_259]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2445,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.05/152.25 | X0 = X1 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_2444]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_88,plain,
% 152.05/152.25 ( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1591_0) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2103,plain,
% 152.05/152.25 ( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_88]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_2104,plain,
% 152.05/152.25 ( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_n____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_2103]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_852,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1557_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3630,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_852]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_849,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1558_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3624,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_849]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_844,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1560_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3614,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_844]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_840,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1562_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3606,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_840]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3607,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oring(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3606]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_838,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1563_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3602,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_838]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_835,plain,
% 152.05/152.25 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1564_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3596,plain,
% 152.05/152.25 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oring(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_835]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3597,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oring(X0)
% 152.05/152.25 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3596]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_832,plain,
% 152.05/152.25 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oring(X3) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1565_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3590,plain,
% 152.05/152.25 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oring(X3) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_832]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3591,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oring(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3590]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_830,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1566_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3586,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_830]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3587,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Osemiring(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3586]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_824,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X2 = X4
% 152.05/152.25 | X1 = X3 ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1568_0) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3574,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X2 = X4
% 152.05/152.25 | X1 = X3 ),
% 152.05/152.25 inference(copy,[status(esa)],[c_824]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_820,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | X2 = X3
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X4)
% 152.05/152.25 | ~ class_Ring__and__Field_Oidom(X4) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1568_4) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3566,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | X2 = X3
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X4)
% 152.05/152.25 | ~ class_Ring__and__Field_Oidom(X4) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_820]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3567,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X1 = X3
% 152.05/152.25 | X2 = X4 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3566]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_816,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | X1 = X3
% 152.05/152.25 | X0 = X2 ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1571_0) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3558,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | X1 = X3
% 152.05/152.25 | X0 = X2 ),
% 152.05/152.25 inference(copy,[status(esa)],[c_816]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_814,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | X2 = X3
% 152.05/152.25 | 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1571_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3554,plain,
% 152.05/152.25 ( X0 = X1
% 152.05/152.25 | X2 = X3
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_814]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3555,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | X0 = X2
% 152.05/152.25 | X1 = X3 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3554]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_812,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1572_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3550,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_812]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3551,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3550]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_810,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1573_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3546,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_810]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3547,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3546]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_779,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1582_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3484,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_779]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3485,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3484]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_761,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1587_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3448,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_761]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3449,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3448]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_759,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1588_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3444,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_759]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3445,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3444]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_746,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.25 | X2 = X3
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.25 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1592_4) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3418,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.25 | X2 = X3
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.25 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_746]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3419,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.25 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.25 | X3 = X4 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3418]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_744,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1595_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3414,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_744]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3415,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3414]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_741,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.25 | X1 = X2
% 152.05/152.25 | 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1596_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3408,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.25 | X1 = X2
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_741]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3409,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.25 | X2 = X3 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3408]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_738,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1597_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3402,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_738]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3403,plain,
% 152.05/152.25 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3402]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_735,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1598_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3396,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_735]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3397,plain,
% 152.05/152.25 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3396]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_733,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1599_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3392,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_733]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_731,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1600_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3388,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_731]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_729,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1601_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3384,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_729]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3385,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3384]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_727,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1602_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3380,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_727]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3381,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3380]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_725,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1603_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3376,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.25 | ~ 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) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_725]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3377,plain,
% 152.05/152.25 ( ~ 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)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3376]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_721,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1604_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3368,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_721]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3369,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3368]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_705,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1608_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3336,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_705]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3337,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3336]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_709,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1607_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3344,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_709]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3345,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3344]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_693,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1611_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3312,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_693]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3313,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3312]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_681,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1614_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3288,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_681]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_677,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1615_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3280,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_677]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3281,plain,
% 152.05/152.25 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3280]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_674,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1616_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3274,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_674]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3275,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3274]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_671,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1617_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3268,plain,
% 152.05/152.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_671]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3269,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.05/152.25 | 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)
% 152.05/152.25 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3268]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_669,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1618_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3264,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_669]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3265,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3264]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_667,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1619_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3260,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_667]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3261,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3260]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_663,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1621_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3252,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_663]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3253,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.25 | 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) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3252]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_648,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1626_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3222,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_648]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3223,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3222]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_651,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1625_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3228,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_651]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3229,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3228]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_645,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1627_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3216,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_645]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_642,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1628_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3210,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_642]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_632,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1635_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3190,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_632]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3191,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3190]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_630,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1636_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3186,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_630]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_627,plain,
% 152.05/152.25 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 152.05/152.25 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 152.05/152.25 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1637_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3180,plain,
% 152.05/152.25 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 152.05/152.25 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 152.05/152.25 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_627]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3181,plain,
% 152.05/152.25 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.05/152.25 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 152.05/152.25 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3180]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_624,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1638_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3174,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_624]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_622,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1639_1) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3170,plain,
% 152.05/152.25 ( 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)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_622]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_610,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1642_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3146,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_610]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3147,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3146]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_606,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1643_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3138,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_606]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3139,plain,
% 152.05/152.25 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3138]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_602,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1644_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3130,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_602]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_598,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1645_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3122,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.05/152.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_598]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3123,plain,
% 152.05/152.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3122]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_594,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1646_3) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3114,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.25 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_594]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3115,plain,
% 152.05/152.25 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3114]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_593,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1647_0) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3112,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_593]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_591,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 152.05/152.25 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1647_2) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3108,plain,
% 152.05/152.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 152.05/152.25 inference(copy,[status(esa)],[c_591]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_3109,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.25 inference(rewriting,[status(thm)],[c_3108]) ).
% 152.05/152.25
% 152.05/152.25 cnf(c_589,plain,
% 152.05/152.25 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.25 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.25 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1648_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3104,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_589]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3105,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3104]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_586,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1649_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3098,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_586]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3099,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3098]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_582,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1650_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3090,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_582]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3091,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3090]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_579,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1651_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3084,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_579]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3085,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3084]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_576,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1652_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3078,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_576]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3079,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3078]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_573,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1653_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3072,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_573]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3073,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3072]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_567,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1655_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3060,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_567]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_565,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1656_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3056,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_565]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_562,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1657_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3050,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_562]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_559,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1658_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3044,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_559]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_546,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1664_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3018,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_546]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3019,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3018]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_542,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1666_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3010,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_542]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3011,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3010]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_540,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1667_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3006,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_540]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3007,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3006]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_538,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1668_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3002,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_538]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_3003,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_3002]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_534,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1670_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2994,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_534]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2995,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2994]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_532,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1671_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2990,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_532]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2991,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2990]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_528,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1673_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2982,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_528]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2983,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2982]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_526,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1674_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2978,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_526]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2979,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2978]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_524,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1675_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2974,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_524]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2975,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2974]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_522,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1676_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2970,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_522]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2971,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2970]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_520,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1677_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2966,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_520]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2967,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2966]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_518,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1678_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2962,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_518]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2963,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2962]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_505,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1692_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2936,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_505]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2937,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2936]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_503,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1693_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2932,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_503]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2933,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2932]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_501,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1694_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2928,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_501]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2929,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2928]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_498,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1695_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2922,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_498]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_496,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1696_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2918,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_496]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2919,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2918]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_493,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1697_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2912,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_493]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_490,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1698_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2906,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_490]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_487,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1699_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2900,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.05/152.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_487]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_485,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1700_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2896,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_485]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_482,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1704_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2890,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_482]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_480,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1705_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2886,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_480]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_475,plain,
% 152.05/152.26 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 152.05/152.26 | ~ c_Lambda_Obeta(X0,X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1707_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2876,plain,
% 152.05/152.26 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 152.05/152.26 | ~ c_Lambda_Obeta(X0,X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_475]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_473,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1708_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2872,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_473]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_471,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1709_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2868,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_471]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_469,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1712_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2864,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_469]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_467,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1713_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2860,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_467]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_461,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1716_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2848,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_461]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_459,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1717_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2844,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_459]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_458,plain,
% 152.05/152.26 ( ~ class_Orderings_Oorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1718_0) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2842,plain,
% 152.05/152.26 ( ~ class_Orderings_Oorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_458]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_457,plain,
% 152.05/152.26 ( ~ class_Orderings_Oorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1718_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2840,plain,
% 152.05/152.26 ( ~ class_Orderings_Oorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_457]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_455,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ class_Orderings_Oorder(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1718_3) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2836,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ class_Orderings_Oorder(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_455]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2837,plain,
% 152.05/152.26 ( ~ class_Orderings_Oorder(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2836]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_454,plain,
% 152.05/152.26 ( ~ class_Orderings_Opreorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1719_0) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2834,plain,
% 152.05/152.26 ( ~ class_Orderings_Opreorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_454]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_453,plain,
% 152.05/152.26 ( ~ class_Orderings_Opreorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1719_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2832,plain,
% 152.05/152.26 ( ~ class_Orderings_Opreorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_453]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_451,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.05/152.26 | ~ class_Orderings_Opreorder(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1719_3) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2828,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.05/152.26 | ~ class_Orderings_Opreorder(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_451]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2829,plain,
% 152.05/152.26 ( ~ class_Orderings_Opreorder(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2828]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_449,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1720_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2824,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_449]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2825,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2824]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_447,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1721_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2820,plain,
% 152.05/152.26 ( 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)
% 152.05/152.26 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_447]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2821,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.05/152.26 | 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) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2820]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_444,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1722_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2814,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_444]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2815,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2814]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_441,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1723_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2808,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_441]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_439,plain,
% 152.05/152.26 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1724_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2804,plain,
% 152.05/152.26 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_439]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2805,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2804]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_437,plain,
% 152.05/152.26 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1725_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2800,plain,
% 152.05/152.26 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_437]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2801,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2800]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_435,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1727_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2796,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_435]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_433,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1730_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2792,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 152.05/152.26 inference(copy,[status(esa)],[c_433]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_430,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1731_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2786,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_430]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2787,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2786]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_427,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1732_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2780,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_427]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2781,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2780]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_425,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1733_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2776,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_425]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2777,plain,
% 152.05/152.26 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 152.05/152.26 | X1 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2776]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_421,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.05/152.26 | ~ class_Int_Onumber__ring(X3)
% 152.05/152.26 | ~ class_Ring__and__Field_Oidom(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1734_3) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2768,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.05/152.26 | ~ class_Int_Onumber__ring(X3)
% 152.05/152.26 | ~ class_Ring__and__Field_Oidom(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_421]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2769,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.26 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 152.05/152.26 | X2 = X3 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2768]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_418,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1735_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2762,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_418]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2763,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2762]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_415,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1737_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2756,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_415]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2757,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 152.05/152.26 | X1 = X3 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2756]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_412,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1738_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2750,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_412]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2751,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 152.05/152.26 | X2 = X3 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2750]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_409,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1739_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2744,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_409]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2745,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 152.05/152.26 | X2 = X3 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2744]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_406,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1740_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2738,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_406]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2739,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 152.05/152.26 | X2 = X3 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2738]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_403,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1741_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2732,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_403]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2733,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 152.05/152.26 | X1 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2732]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_400,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | ~ class_Orderings_Oorder(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1742_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2726,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | ~ class_Orderings_Oorder(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_400]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2727,plain,
% 152.05/152.26 ( ~ class_Orderings_Oorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2726]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_397,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | ~ class_Orderings_Olinorder(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1743_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2720,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | ~ class_Orderings_Olinorder(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_397]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2721,plain,
% 152.05/152.26 ( ~ class_Orderings_Olinorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2720]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_391,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | ~ class_Orderings_Opreorder(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1745_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2708,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | ~ class_Orderings_Opreorder(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_391]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2709,plain,
% 152.05/152.26 ( ~ class_Orderings_Opreorder(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2708]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_389,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1746_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2704,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_389]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_387,plain,
% 152.05/152.26 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X1 = X0
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1747_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2700,plain,
% 152.05/152.26 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X1 = X0
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_387]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2701,plain,
% 152.05/152.26 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X1 = X0 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2700]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_381,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1749_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2688,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_381]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2689,plain,
% 152.05/152.26 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.05/152.26 | X1 = X4 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2688]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_379,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1750_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2684,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_379]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2685,plain,
% 152.05/152.26 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.05/152.26 | X0 = X3 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2684]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_376,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1751_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2678,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_376]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2679,plain,
% 152.05/152.26 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 152.05/152.26 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X0 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2678]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_370,plain,
% 152.05/152.26 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X1 = X2
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1753_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2666,plain,
% 152.05/152.26 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X1 = X2
% 152.05/152.26 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_370]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2667,plain,
% 152.05/152.26 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 152.05/152.26 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | X1 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2666]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_368,plain,
% 152.05/152.26 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1754_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2662,plain,
% 152.05/152.26 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_368]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2663,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.05/152.26 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2662]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_366,plain,
% 152.05/152.26 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 152.05/152.26 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1755_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2658,plain,
% 152.05/152.26 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 152.05/152.26 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_366]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2659,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.05/152.26 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2658]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_364,plain,
% 152.05/152.26 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 152.05/152.26 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1756_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2654,plain,
% 152.05/152.26 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 152.05/152.26 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_364]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2655,plain,
% 152.05/152.26 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2654]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_360,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1758_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2646,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X0,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_360]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2647,plain,
% 152.05/152.26 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 152.05/152.26 | X0 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2646]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_358,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1759_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2642,plain,
% 152.05/152.26 ( X0 = X1
% 152.05/152.26 | c_HOL_Oplus__class_Oplus(X2,X0,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_358]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2643,plain,
% 152.05/152.26 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 152.05/152.26 | X1 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2642]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_356,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1767_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2638,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_356]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2639,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2638]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_352,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1769_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2630,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_352]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_346,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | X1 = X0
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1771_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2618,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | X1 = X0
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_346]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2619,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | X1 = X0 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2618]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_343,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | X0 = X1
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1772_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2612,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | X0 = X1
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_343]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2613,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | X0 = X1 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2612]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_341,plain,
% 152.05/152.26 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1773_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2608,plain,
% 152.05/152.26 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_341]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2609,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2608]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_339,plain,
% 152.05/152.26 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1774_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2604,plain,
% 152.05/152.26 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_339]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2605,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2604]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_334,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1776_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2594,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_334]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2595,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2594]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_332,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1777_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2590,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.05/152.26 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_332]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2591,plain,
% 152.05/152.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2590]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_330,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1778_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2586,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_330]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_328,plain,
% 152.05/152.26 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 152.05/152.26 | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1779_1) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2582,plain,
% 152.05/152.26 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 152.05/152.26 | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_328]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_325,plain,
% 152.05/152.26 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1780_2) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2576,plain,
% 152.05/152.26 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.26 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 152.05/152.26 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_325]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2577,plain,
% 152.05/152.26 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.26 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 152.05/152.26 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2576]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_302,plain,
% 152.05/152.26 ( ~ class_Orderings_Olinorder(X0)
% 152.05/152.26 | X1 = X2
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1787_0) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2530,plain,
% 152.05/152.26 ( ~ class_Orderings_Olinorder(X0)
% 152.05/152.26 | X1 = X2
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_302]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2531,plain,
% 152.05/152.26 ( ~ class_Orderings_Olinorder(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.05/152.26 | X1 = X2 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2530]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_299,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | X1 = X0
% 152.05/152.26 | ~ class_Orderings_Olinorder(X2) ),
% 152.05/152.26 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1787_3) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2524,plain,
% 152.05/152.26 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.05/152.26 | X1 = X0
% 152.05/152.26 | ~ class_Orderings_Olinorder(X2) ),
% 152.05/152.26 inference(copy,[status(esa)],[c_299]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_2525,plain,
% 152.05/152.26 ( ~ class_Orderings_Olinorder(X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.05/152.26 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.05/152.26 | X2 = X1 ),
% 152.05/152.26 inference(rewriting,[status(thm)],[c_2524]) ).
% 152.05/152.26
% 152.05/152.26 cnf(c_295,plain,
% 152.05/152.26 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.05/152.26 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1791_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2516,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.05/152.27 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_295]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2517,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2516]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_293,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1792_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2512,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_293]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2513,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2512]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_289,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1794_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2504,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_289]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2505,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2504]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_287,plain,
% 152.05/152.27 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 152.05/152.27 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1796_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2500,plain,
% 152.05/152.27 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 152.05/152.27 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_287]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2501,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.05/152.27 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2500]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_285,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.27 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1797_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2496,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.27 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_285]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2497,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.05/152.27 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2496]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_279,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1802_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2484,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_279]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_277,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1802_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2480,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_277]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2481,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2480]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_272,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1804_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2470,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_272]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_269,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1804_3) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2464,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_269]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2465,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2464]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_268,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1805_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2462,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_268]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_265,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1805_3) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2456,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_265]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2457,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2456]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_260,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.27 | X1 = X0
% 152.05/152.27 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1807_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2446,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.27 | X1 = X0
% 152.05/152.27 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_260]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2447,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.27 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.05/152.27 | X1 = X0 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2446]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_255,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X2)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1808_3) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2436,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X2)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_255]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2437,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = X2 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2436]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_253,plain,
% 152.05/152.27 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1809_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2432,plain,
% 152.05/152.27 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_253]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2433,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.05/152.27 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2432]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_249,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 152.05/152.27 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1810_3) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2424,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 152.05/152.27 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_249]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2425,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 152.05/152.27 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2424]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_247,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1811_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2420,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_247]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2421,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2420]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_238,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1814_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2402,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_238]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2403,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2402]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_235,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1815_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2396,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_235]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2397,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2396]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_232,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1819_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2390,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_232]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2391,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2390]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_230,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1820_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2386,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_230]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2387,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2386]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_228,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1821_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2382,plain,
% 152.05/152.27 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_228]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2383,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2382]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_224,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1823_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2374,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_224]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_222,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1823_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2370,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_222]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2371,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2370]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_219,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.05/152.27 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1824_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2364,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.05/152.27 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_219]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2365,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = X2 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2364]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_216,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.05/152.27 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1825_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2358,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.05/152.27 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_216]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2359,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | X1 = X2 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2358]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_214,plain,
% 152.05/152.27 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1826_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2354,plain,
% 152.05/152.27 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_214]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2355,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.27 | c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2354]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_212,plain,
% 152.05/152.27 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1827_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2350,plain,
% 152.05/152.27 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0
% 152.05/152.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_212]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2351,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.27 | c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2350]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_211,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1828_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2348,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_211]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_209,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1828_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2344,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_209]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2345,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2344]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_207,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1829_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2340,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_207]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2341,plain,
% 152.05/152.27 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2340]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_205,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1830_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2336,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_205]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2337,plain,
% 152.05/152.27 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2336]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_203,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1831_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2332,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_203]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2333,plain,
% 152.05/152.27 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2332]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_201,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1833_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2328,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_201]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2329,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2328]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_199,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1834_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2324,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_199]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2325,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2324]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_197,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1835_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2320,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_197]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_195,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 152.05/152.27 | ~ c_Lambda_Obeta(X1,X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1836_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2316,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 152.05/152.27 | ~ c_Lambda_Obeta(X1,X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_195]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_193,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1837_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2312,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(X0,X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_193]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_189,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != X1 ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1839_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2304,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) != X1 ),
% 152.05/152.27 inference(copy,[status(esa)],[c_189]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2305,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 152.05/152.27 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2304]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_187,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1848_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2300,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_187]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2301,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2300]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_184,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1849_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2294,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_184]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2295,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2294]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_181,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1854_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2288,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_181]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2289,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.05/152.27 | ~ class_Int_Onumber__ring(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2288]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_179,plain,
% 152.05/152.27 ( c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1855_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2284,plain,
% 152.05/152.27 ( c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_179]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2285,plain,
% 152.05/152.27 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 152.05/152.27 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2284]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_175,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1857_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2276,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_175]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2277,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2276]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_173,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1858_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2272,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_173]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2273,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2272]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_171,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1859_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2268,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_171]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2269,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2268]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_169,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1860_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2264,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_169]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2265,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2264]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_167,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1861_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2260,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_167]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2261,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2260]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_165,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1862_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2256,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_165]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2257,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2256]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_161,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1864_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2248,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_161]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2249,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2248]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_159,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1865_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2244,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_159]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2245,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2244]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_157,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.05/152.27 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1866_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2240,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.05/152.27 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_157]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2241,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2240]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_155,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1867_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2236,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_155]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2237,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2236]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_153,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.05/152.27 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1868_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2232,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.05/152.27 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_153]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2233,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2232]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_151,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1869_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2228,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 152.05/152.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_151]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2229,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.05/152.27 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2228]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_149,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1870_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2224,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_149]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2225,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2224]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_145,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1873_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2216,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_145]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2217,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2216]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_143,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1874_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2212,plain,
% 152.05/152.27 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.05/152.27 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_143]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2213,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.05/152.27 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2212]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_141,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1
% 152.05/152.27 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1875_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2208,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1
% 152.05/152.27 | ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_141]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2209,plain,
% 152.05/152.27 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 152.05/152.27 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2208]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_139,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1876_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2204,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 152.05/152.27 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_139]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2205,plain,
% 152.05/152.27 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 152.05/152.27 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2204]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_137,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1881_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2200,plain,
% 152.05/152.27 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.05/152.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_137]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2201,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.05/152.27 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2200]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_134,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.05/152.27 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1893_2) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2194,plain,
% 152.05/152.27 ( X0 = X1
% 152.05/152.27 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.05/152.27 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_134]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2195,plain,
% 152.05/152.27 ( ~ class_Nat_Osemiring__char__0(X0)
% 152.05/152.27 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 152.05/152.27 | X1 = X2 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2194]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_132,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
% 152.05/152.27 | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1895_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2190,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
% 152.05/152.27 | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_132]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_130,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(X0,X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1896_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2186,plain,
% 152.05/152.27 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 152.05/152.27 | ~ c_Lambda_Obeta(X0,X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_130]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_128,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OApp(X2,X0) != c_Lambda_OdB_OApp(X3,X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1897_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2182,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OApp(X2,X0) != c_Lambda_OdB_OApp(X3,X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_128]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2183,plain,
% 152.05/152.27 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2182]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_126,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OApp(X0,X2) != c_Lambda_OdB_OApp(X1,X3) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1898_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2178,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OApp(X0,X2) != c_Lambda_OdB_OApp(X1,X3) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_126]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2179,plain,
% 152.05/152.27 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2178]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_124,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1899_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2174,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_124]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_122,plain,
% 152.05/152.27 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1905_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2170,plain,
% 152.05/152.27 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.05/152.27 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_122]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2171,plain,
% 152.05/152.27 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.05/152.27 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2170]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_120,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1906_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2166,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_120]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_118,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1907_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2162,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_118]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2163,plain,
% 152.05/152.27 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2162]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_116,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1908_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2158,plain,
% 152.05/152.27 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_116]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2159,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2158]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_112,plain,
% 152.05/152.27 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1910_1) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2150,plain,
% 152.05/152.27 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_112]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2151,plain,
% 152.05/152.27 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 152.05/152.27 inference(rewriting,[status(thm)],[c_2150]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_111,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1710_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2148,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_111]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_110,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1711_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2146,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_110]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_109,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1832_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2144,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_109]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_107,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1841_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2140,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_107]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_105,plain,
% 152.05/152.27 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1843_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2136,plain,
% 152.05/152.27 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 152.05/152.27 inference(copy,[status(esa)],[c_105]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_103,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1846_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2132,plain,
% 152.05/152.27 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_103]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_102,plain,
% 152.05/152.27 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1900_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2130,plain,
% 152.05/152.27 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_102]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_101,plain,
% 152.05/152.27 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1901_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2128,plain,
% 152.05/152.27 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_101]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_100,plain,
% 152.05/152.27 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1902_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2126,plain,
% 152.05/152.27 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_100]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_99,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1903_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2124,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_99]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_98,plain,
% 152.05/152.27 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1904_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2122,plain,
% 152.05/152.27 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_98]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_97,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1911_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2120,plain,
% 152.05/152.27 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_97]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_96,plain,
% 152.05/152.27 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1912_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2118,plain,
% 152.05/152.27 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_96]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_92,plain,
% 152.05/152.27 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1916_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2110,plain,
% 152.05/152.27 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_92]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_90,plain,
% 152.05/152.27 ( c_Suc(X0) != X0 ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1919_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2106,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_90]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_86,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1594_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2099,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_86]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_79,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1683_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2091,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_79]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_74,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1688_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2085,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_74]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_69,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1702_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2078,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_69]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_68,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1703_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2076,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_68]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_61,plain,
% 152.05/152.27 ( 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))) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1762_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2068,plain,
% 152.05/152.27 ( 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))) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_61]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_60,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1763_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2066,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_60]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_53,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1799_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2058,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_53]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_52,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1800_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2056,plain,
% 152.05/152.27 ( 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) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_52]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_50,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1817_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2053,plain,
% 152.05/152.27 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_50]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_49,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1818_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2051,plain,
% 152.05/152.27 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_49]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_42,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1871_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2043,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_42]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_40,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1878_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2039,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_40]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_36,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1883_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2033,plain,
% 152.05/152.27 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_36]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_25,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1917_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2021,plain,
% 152.05/152.27 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_25]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_24,plain,
% 152.05/152.27 ( class_Orderings_Oorder(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1920_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2019,plain,
% 152.05/152.27 ( class_Orderings_Oorder(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_24]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_23,plain,
% 152.05/152.27 ( class_Orderings_Olinorder(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1921_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2017,plain,
% 152.05/152.27 ( class_Orderings_Olinorder(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_23]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_22,plain,
% 152.05/152.27 ( class_Orderings_Opreorder(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1922_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2015,plain,
% 152.05/152.27 ( class_Orderings_Opreorder(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_22]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_21,plain,
% 152.05/152.27 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1923_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2013,plain,
% 152.05/152.27 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_21]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_20,plain,
% 152.05/152.27 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1924_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2011,plain,
% 152.05/152.27 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_20]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_19,plain,
% 152.05/152.27 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1925_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2009,plain,
% 152.05/152.27 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_19]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_18,plain,
% 152.05/152.27 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1926_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2007,plain,
% 152.05/152.27 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_18]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_17,plain,
% 152.05/152.27 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1927_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2005,plain,
% 152.05/152.27 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_17]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_16,plain,
% 152.05/152.27 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1928_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2003,plain,
% 152.05/152.27 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_16]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_15,plain,
% 152.05/152.27 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1929_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2001,plain,
% 152.05/152.27 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_15]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_14,plain,
% 152.05/152.27 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1930_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1999,plain,
% 152.05/152.27 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_14]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_13,plain,
% 152.05/152.27 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1931_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1997,plain,
% 152.05/152.27 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_13]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_12,plain,
% 152.05/152.27 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1932_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1995,plain,
% 152.05/152.27 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_12]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_11,plain,
% 152.05/152.27 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1933_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1993,plain,
% 152.05/152.27 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_11]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_10,plain,
% 152.05/152.27 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1934_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1991,plain,
% 152.05/152.27 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_10]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_9,plain,
% 152.05/152.27 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1935_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1989,plain,
% 152.05/152.27 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_9]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_8,plain,
% 152.05/152.27 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1936_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1987,plain,
% 152.05/152.27 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_8]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_7,plain,
% 152.05/152.27 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1937_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1985,plain,
% 152.05/152.27 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_7]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_6,plain,
% 152.05/152.27 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1938_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1983,plain,
% 152.05/152.27 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_6]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_5,plain,
% 152.05/152.27 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1939_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1981,plain,
% 152.05/152.27 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_5]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_4,plain,
% 152.05/152.27 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1940_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1979,plain,
% 152.05/152.27 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_4]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_3,plain,
% 152.05/152.27 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1941_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1977,plain,
% 152.05/152.27 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_3]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_2,plain,
% 152.05/152.27 ( c_InductTermi_OIT(v_u____) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1942_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1975,plain,
% 152.05/152.27 ( c_InductTermi_OIT(v_u____) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_2]) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1,plain,
% 152.05/152.27 ( c_InductTermi_OIT(v_ua______) ),
% 152.05/152.27 file('/export/starexec/sandbox/tmp/iprover_modulo_d8b48e.p', c_0_1943_0) ).
% 152.05/152.27
% 152.05/152.27 cnf(c_1973,plain,
% 152.05/152.27 ( c_InductTermi_OIT(v_ua______) ),
% 152.05/152.27 inference(copy,[status(esa)],[c_1]) ).
% 152.05/152.27
% 152.05/152.27
% 152.05/152.27
% 152.05/152.27 % ------ Statistics
% 152.05/152.27
% 152.05/152.27 % ------ General
% 152.05/152.27
% 152.05/152.27 % num_of_input_clauses: 859
% 152.05/152.27 % num_of_input_neg_conjectures: 1
% 152.05/152.27 % num_of_splits: 0
% 152.05/152.27 % num_of_split_atoms: 0
% 152.05/152.27 % num_of_sem_filtered_clauses: 0
% 152.05/152.27 % num_of_subtypes: 0
% 152.05/152.27 % monotx_restored_types: 0
% 152.05/152.27 % sat_num_of_epr_types: 0
% 152.05/152.27 % sat_num_of_non_cyclic_types: 0
% 152.05/152.27 % sat_guarded_non_collapsed_types: 0
% 152.05/152.27 % is_epr: 0
% 152.05/152.27 % is_horn: 0
% 152.05/152.27 % has_eq: 1
% 152.05/152.27 % num_pure_diseq_elim: 0
% 152.05/152.27 % simp_replaced_by: 0
% 152.05/152.27 % res_preprocessed: 2
% 152.05/152.27 % prep_upred: 0
% 152.05/152.27 % prep_unflattend: 0
% 152.05/152.27 % pred_elim_cands: 0
% 152.05/152.27 % pred_elim: 0
% 152.05/152.27 % pred_elim_cl: 0
% 152.05/152.27 % pred_elim_cycles: 0
% 152.05/152.27 % forced_gc_time: 0
% 152.05/152.27 % gc_basic_clause_elim: 0
% 152.05/152.27 % parsing_time: 0.022
% 152.05/152.27 % sem_filter_time: 0.
% 152.05/152.27 % pred_elim_time: 0.
% 152.05/152.27 % out_proof_time: 0.
% 152.05/152.27 % monotx_time: 0.
% 152.05/152.27 % subtype_inf_time: 0.
% 152.05/152.27 % unif_index_cands_time: 0.
% 152.05/152.27 % unif_index_add_time: 0.
% 152.05/152.27 % total_time: 1.675
% 152.05/152.27 % num_of_symbols: 89
% 152.05/152.27 % num_of_terms: 1723
% 152.05/152.27
% 152.05/152.27 % ------ Propositional Solver
% 152.05/152.27
% 152.05/152.27 % prop_solver_calls: 1
% 152.05/152.27 % prop_fast_solver_calls: 3
% 152.05/152.27 % prop_num_of_clauses: 816
% 152.05/152.27 % prop_preprocess_simplified: 2556
% 152.05/152.27 % prop_fo_subsumed: 0
% 152.05/152.27 % prop_solver_time: 0.
% 152.05/152.27 % prop_fast_solver_time: 0.
% 152.05/152.27 % prop_unsat_core_time: 0.
% 152.05/152.27
% 152.05/152.27 % ------ QBF
% 152.05/152.27
% 152.05/152.27 % qbf_q_res: 0
% 152.05/152.27 % qbf_num_tautologies: 0
% 152.05/152.27 % qbf_prep_cycles: 0
% 152.05/152.27
% 152.05/152.27 % ------ BMC1
% 152.05/152.27
% 152.05/152.27 % bmc1_current_bound: -1
% 152.05/152.27 % bmc1_last_solved_bound: -1
% 152.05/152.27 % bmc1_unsat_core_size: -1
% 152.05/152.27 % bmc1_unsat_core_parents_size: -1
% 152.05/152.27 % bmc1_merge_next_fun: 0
% 152.05/152.27 % bmc1_unsat_core_clauses_time: 0.
% 152.05/152.27
% 152.05/152.27 % ------ Instantiation
% 152.05/152.27
% 152.05/152.27 % inst_num_of_clauses: 755
% 152.05/152.27 % inst_num_in_passive: 0
% 152.05/152.27 % inst_num_in_active: 0
% 152.05/152.27 % inst_num_in_unprocessed: 859
% 152.05/152.27 % inst_num_of_loops: 0
% 152.05/152.27 % inst_num_of_learning_restarts: 0
% 152.05/152.27 % inst_num_moves_active_passive: 0
% 152.05/152.27 % inst_lit_activity: 0
% 152.05/152.27 % inst_lit_activity_moves: 0
% 152.05/152.27 % inst_num_tautologies: 0
% 152.05/152.27 % inst_num_prop_implied: 0
% 152.05/152.27 % inst_num_existing_simplified: 0
% 152.05/152.27 % inst_num_eq_res_simplified: 0
% 152.05/152.27 % inst_num_child_elim: 0
% 152.05/152.27 % inst_num_of_dismatching_blockings: 0
% 152.05/152.27 % inst_num_of_non_proper_insts: 0
% 152.05/152.27 % inst_num_of_duplicates: 0
% 152.05/152.27 % inst_inst_num_from_inst_to_res: 0
% 152.05/152.27 % inst_dismatching_checking_time: 0.
% 152.05/152.27
% 152.05/152.27 % ------ Resolution
% 152.05/152.27
% 152.05/152.27 % res_num_of_clauses: 812
% 152.05/152.27 % res_num_in_passive: 0
% 152.05/152.28 % res_num_in_active: 327
% 152.05/152.28 % res_num_of_loops: 2
% 152.05/152.28 % res_forward_subset_subsumed: 486
% 152.05/152.28 % res_backward_subset_subsumed: 0
% 152.05/152.28 % res_forward_subsumed: 0
% 152.05/152.28 % res_backward_subsumed: 0
% 152.05/152.28 % res_forward_subsumption_resolution: 0
% 152.05/152.28 % res_backward_subsumption_resolution: 0
% 152.05/152.28 % res_clause_to_clause_subsumption: 0
% 152.05/152.28 % res_orphan_elimination: 0
% 152.05/152.28 % res_tautology_del: 0
% 152.05/152.28 % res_num_eq_res_simplified: 0
% 152.05/152.28 % res_num_sel_changes: 0
% 152.05/152.28 % res_moves_from_active_to_pass: 0
% 152.05/152.28
% 152.05/152.28 % Status Unknown
% 152.05/152.28 % Last status :
% 152.05/152.28 % SZS status Unknown
%------------------------------------------------------------------------------