TSTP Solution File: LCL754-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL754-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.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 11:39:01 EDT 2022
% Result : Unknown 153.10s 153.37s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL754-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : iprover_modulo %s %d
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jul 4 20:29:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.34 % Running in mono-core mode
% 0.20/0.52 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.52 % Orientation found
% 0.20/0.52 % 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_75eb29.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_3a3fba | grep -v "SZS"
% 0.20/0.54
% 0.20/0.54 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.54
% 0.20/0.54 %
% 0.20/0.54 % ------ iProver source info
% 0.20/0.54
% 0.20/0.54 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.54 % git: non_committed_changes: true
% 0.20/0.54 % git: last_make_outside_of_git: true
% 0.20/0.54
% 0.20/0.54 %
% 0.20/0.54 % ------ Input Options
% 0.20/0.54
% 0.20/0.54 % --out_options all
% 0.20/0.54 % --tptp_safe_out true
% 0.20/0.54 % --problem_path ""
% 0.20/0.54 % --include_path ""
% 0.20/0.54 % --clausifier .//eprover
% 0.20/0.54 % --clausifier_options --tstp-format
% 0.20/0.54 % --stdin false
% 0.20/0.54 % --dbg_backtrace false
% 0.20/0.54 % --dbg_dump_prop_clauses false
% 0.20/0.54 % --dbg_dump_prop_clauses_file -
% 0.20/0.54 % --dbg_out_stat false
% 0.20/0.54
% 0.20/0.54 % ------ General Options
% 0.20/0.54
% 0.20/0.54 % --fof false
% 0.20/0.54 % --time_out_real 150.
% 0.20/0.54 % --time_out_prep_mult 0.2
% 0.20/0.54 % --time_out_virtual -1.
% 0.20/0.54 % --schedule none
% 0.20/0.54 % --ground_splitting input
% 0.20/0.54 % --splitting_nvd 16
% 0.20/0.54 % --non_eq_to_eq false
% 0.20/0.54 % --prep_gs_sim true
% 0.20/0.54 % --prep_unflatten false
% 0.20/0.54 % --prep_res_sim true
% 0.20/0.54 % --prep_upred true
% 0.20/0.54 % --res_sim_input true
% 0.20/0.54 % --clause_weak_htbl true
% 0.20/0.54 % --gc_record_bc_elim false
% 0.20/0.54 % --symbol_type_check false
% 0.20/0.54 % --clausify_out false
% 0.20/0.54 % --large_theory_mode false
% 0.20/0.54 % --prep_sem_filter none
% 0.20/0.54 % --prep_sem_filter_out false
% 0.20/0.54 % --preprocessed_out false
% 0.20/0.54 % --sub_typing false
% 0.20/0.54 % --brand_transform false
% 0.20/0.54 % --pure_diseq_elim true
% 0.20/0.54 % --min_unsat_core false
% 0.20/0.54 % --pred_elim true
% 0.20/0.54 % --add_important_lit false
% 0.20/0.54 % --soft_assumptions false
% 0.20/0.54 % --reset_solvers false
% 0.20/0.54 % --bc_imp_inh []
% 0.20/0.54 % --conj_cone_tolerance 1.5
% 0.20/0.54 % --prolific_symb_bound 500
% 0.20/0.54 % --lt_threshold 2000
% 0.20/0.54
% 0.20/0.54 % ------ SAT Options
% 0.20/0.54
% 0.20/0.54 % --sat_mode false
% 0.20/0.54 % --sat_fm_restart_options ""
% 0.20/0.54 % --sat_gr_def false
% 0.20/0.54 % --sat_epr_types true
% 0.20/0.54 % --sat_non_cyclic_types false
% 0.20/0.54 % --sat_finite_models false
% 0.20/0.54 % --sat_fm_lemmas false
% 0.20/0.54 % --sat_fm_prep false
% 0.20/0.54 % --sat_fm_uc_incr true
% 0.20/0.54 % --sat_out_model small
% 0.20/0.54 % --sat_out_clauses false
% 0.20/0.54
% 0.20/0.54 % ------ QBF Options
% 0.20/0.54
% 0.20/0.54 % --qbf_mode false
% 0.20/0.54 % --qbf_elim_univ true
% 0.20/0.54 % --qbf_sk_in true
% 0.20/0.54 % --qbf_pred_elim true
% 0.20/0.54 % --qbf_split 32
% 0.20/0.54
% 0.20/0.54 % ------ BMC1 Options
% 0.20/0.54
% 0.20/0.54 % --bmc1_incremental false
% 0.20/0.54 % --bmc1_axioms reachable_all
% 0.20/0.54 % --bmc1_min_bound 0
% 0.20/0.54 % --bmc1_max_bound -1
% 0.20/0.54 % --bmc1_max_bound_default -1
% 0.20/0.54 % --bmc1_symbol_reachability true
% 0.20/0.54 % --bmc1_property_lemmas false
% 0.20/0.54 % --bmc1_k_induction false
% 0.20/0.54 % --bmc1_non_equiv_states false
% 0.20/0.54 % --bmc1_deadlock false
% 0.20/0.54 % --bmc1_ucm false
% 0.20/0.54 % --bmc1_add_unsat_core none
% 0.20/0.54 % --bmc1_unsat_core_children false
% 0.20/0.54 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.54 % --bmc1_out_stat full
% 0.20/0.54 % --bmc1_ground_init false
% 0.20/0.54 % --bmc1_pre_inst_next_state false
% 0.20/0.54 % --bmc1_pre_inst_state false
% 0.20/0.54 % --bmc1_pre_inst_reach_state false
% 0.20/0.54 % --bmc1_out_unsat_core false
% 0.20/0.54 % --bmc1_aig_witness_out false
% 0.20/0.54 % --bmc1_verbose false
% 0.20/0.54 % --bmc1_dump_clauses_tptp false
% 2.79/3.08 % --bmc1_dump_unsat_core_tptp false
% 2.79/3.08 % --bmc1_dump_file -
% 2.79/3.08 % --bmc1_ucm_expand_uc_limit 128
% 2.79/3.08 % --bmc1_ucm_n_expand_iterations 6
% 2.79/3.08 % --bmc1_ucm_extend_mode 1
% 2.79/3.08 % --bmc1_ucm_init_mode 2
% 2.79/3.08 % --bmc1_ucm_cone_mode none
% 2.79/3.08 % --bmc1_ucm_reduced_relation_type 0
% 2.79/3.08 % --bmc1_ucm_relax_model 4
% 2.79/3.08 % --bmc1_ucm_full_tr_after_sat true
% 2.79/3.08 % --bmc1_ucm_expand_neg_assumptions false
% 2.79/3.08 % --bmc1_ucm_layered_model none
% 2.79/3.08 % --bmc1_ucm_max_lemma_size 10
% 2.79/3.08
% 2.79/3.08 % ------ AIG Options
% 2.79/3.08
% 2.79/3.08 % --aig_mode false
% 2.79/3.08
% 2.79/3.08 % ------ Instantiation Options
% 2.79/3.08
% 2.79/3.08 % --instantiation_flag true
% 2.79/3.08 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.79/3.08 % --inst_solver_per_active 750
% 2.79/3.08 % --inst_solver_calls_frac 0.5
% 2.79/3.08 % --inst_passive_queue_type priority_queues
% 2.79/3.08 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.79/3.08 % --inst_passive_queues_freq [25;2]
% 2.79/3.08 % --inst_dismatching true
% 2.79/3.08 % --inst_eager_unprocessed_to_passive true
% 2.79/3.08 % --inst_prop_sim_given true
% 2.79/3.08 % --inst_prop_sim_new false
% 2.79/3.08 % --inst_orphan_elimination true
% 2.79/3.08 % --inst_learning_loop_flag true
% 2.79/3.08 % --inst_learning_start 3000
% 2.79/3.08 % --inst_learning_factor 2
% 2.79/3.08 % --inst_start_prop_sim_after_learn 3
% 2.79/3.08 % --inst_sel_renew solver
% 2.79/3.08 % --inst_lit_activity_flag true
% 2.79/3.08 % --inst_out_proof true
% 2.79/3.08
% 2.79/3.08 % ------ Resolution Options
% 2.79/3.08
% 2.79/3.08 % --resolution_flag true
% 2.79/3.08 % --res_lit_sel kbo_max
% 2.79/3.08 % --res_to_prop_solver none
% 2.79/3.08 % --res_prop_simpl_new false
% 2.79/3.08 % --res_prop_simpl_given false
% 2.79/3.08 % --res_passive_queue_type priority_queues
% 2.79/3.08 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.79/3.08 % --res_passive_queues_freq [15;5]
% 2.79/3.08 % --res_forward_subs full
% 2.79/3.08 % --res_backward_subs full
% 2.79/3.08 % --res_forward_subs_resolution true
% 2.79/3.08 % --res_backward_subs_resolution true
% 2.79/3.08 % --res_orphan_elimination false
% 2.79/3.08 % --res_time_limit 1000.
% 2.79/3.08 % --res_out_proof true
% 2.79/3.08 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_75eb29.s
% 2.79/3.08 % --modulo true
% 2.79/3.08
% 2.79/3.08 % ------ Combination Options
% 2.79/3.08
% 2.79/3.08 % --comb_res_mult 1000
% 2.79/3.08 % --comb_inst_mult 300
% 2.79/3.08 % ------
% 2.79/3.08
% 2.79/3.08 % ------ Parsing...% successful
% 2.79/3.08
% 2.79/3.08 % ------ 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 %
% 2.79/3.08
% 2.79/3.08 % ------ Proving...
% 2.79/3.08 % ------ Problem Properties
% 2.79/3.08
% 2.79/3.08 %
% 2.79/3.08 % EPR false
% 2.79/3.08 % Horn false
% 2.79/3.08 % Has equality true
% 2.79/3.08
% 2.79/3.08 % % ------ Input Options Time Limit: Unbounded
% 2.79/3.08
% 2.79/3.08
% 2.79/3.08 Compiling...
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% 2.79/3.08 Compiling...
% 2.79/3.08 Loading plugin: done.
% 2.79/3.08 % % ------ Current options:
% 2.79/3.08
% 2.79/3.08 % ------ Input Options
% 2.79/3.08
% 2.79/3.08 % --out_options all
% 2.79/3.08 % --tptp_safe_out true
% 2.79/3.08 % --problem_path ""
% 2.79/3.08 % --include_path ""
% 2.79/3.08 % --clausifier .//eprover
% 2.79/3.08 % --clausifier_options --tstp-format
% 2.79/3.08 % --stdin false
% 2.79/3.08 % --dbg_backtrace false
% 2.79/3.08 % --dbg_dump_prop_clauses false
% 2.79/3.08 % --dbg_dump_prop_clauses_file -
% 2.79/3.08 % --dbg_out_stat false
% 2.79/3.08
% 2.79/3.08 % ------ General Options
% 2.79/3.08
% 2.79/3.08 % --fof false
% 2.79/3.08 % --time_out_real 150.
% 2.79/3.08 % --time_out_prep_mult 0.2
% 2.79/3.08 % --time_out_virtual -1.
% 2.79/3.08 % --schedule none
% 2.79/3.08 % --ground_splitting input
% 2.79/3.08 % --splitting_nvd 16
% 2.79/3.08 % --non_eq_to_eq false
% 2.79/3.08 % --prep_gs_sim true
% 2.79/3.08 % --prep_unflatten false
% 2.79/3.08 % --prep_res_sim true
% 2.79/3.08 % --prep_upred true
% 2.79/3.08 % --res_sim_input true
% 2.79/3.08 % --clause_weak_htbl true
% 2.79/3.08 % --gc_record_bc_elim false
% 2.79/3.08 % --symbol_type_check false
% 2.79/3.08 % --clausify_out false
% 2.79/3.08 % --large_theory_mode false
% 2.79/3.08 % --prep_sem_filter none
% 2.79/3.08 % --prep_sem_filter_out false
% 2.79/3.08 % --preprocessed_out false
% 2.79/3.08 % --sub_typing false
% 2.79/3.08 % --brand_transform false
% 2.79/3.08 % --pure_diseq_elim true
% 2.79/3.08 % --min_unsat_core false
% 2.79/3.08 % --pred_elim true
% 2.79/3.08 % --add_important_lit false
% 2.79/3.08 % --soft_assumptions false
% 2.79/3.08 % --reset_solvers false
% 2.79/3.08 % --bc_imp_inh []
% 2.79/3.08 % --conj_cone_tolerance 1.5
% 2.79/3.08 % --prolific_symb_bound 500
% 2.79/3.08 % --lt_threshold 2000
% 2.79/3.08
% 2.79/3.08 % ------ SAT Options
% 2.79/3.08
% 2.79/3.08 % --sat_mode false
% 2.79/3.08 % --sat_fm_restart_options ""
% 2.79/3.08 % --sat_gr_def false
% 2.79/3.08 % --sat_epr_types true
% 2.79/3.08 % --sat_non_cyclic_types false
% 2.79/3.08 % --sat_finite_models false
% 2.79/3.08 % --sat_fm_lemmas false
% 2.79/3.08 % --sat_fm_prep false
% 2.79/3.08 % --sat_fm_uc_incr true
% 2.79/3.08 % --sat_out_model small
% 2.79/3.08 % --sat_out_clauses false
% 2.79/3.08
% 2.79/3.08 % ------ QBF Options
% 2.79/3.08
% 2.79/3.08 % --qbf_mode false
% 2.79/3.08 % --qbf_elim_univ true
% 2.79/3.08 % --qbf_sk_in true
% 2.79/3.08 % --qbf_pred_elim true
% 2.79/3.08 % --qbf_split 32
% 2.79/3.08
% 2.79/3.08 % ------ BMC1 Options
% 2.79/3.08
% 2.79/3.08 % --bmc1_incremental false
% 2.79/3.08 % --bmc1_axioms reachable_all
% 2.79/3.08 % --bmc1_min_bound 0
% 2.79/3.08 % --bmc1_max_bound -1
% 2.79/3.08 % --bmc1_max_bound_default -1
% 2.79/3.08 % --bmc1_symbol_reachability true
% 2.79/3.08 % --bmc1_property_lemmas false
% 2.79/3.08 % --bmc1_k_induction false
% 2.79/3.08 % --bmc1_non_equiv_states false
% 2.79/3.08 % --bmc1_deadlock false
% 2.79/3.08 % --bmc1_ucm false
% 2.79/3.08 % --bmc1_add_unsat_core none
% 2.79/3.08 % --bmc1_unsat_core_children false
% 2.79/3.08 % --bmc1_unsat_core_extrapolate_axioms false
% 2.79/3.08 % --bmc1_out_stat full
% 2.79/3.08 % --bmc1_ground_init false
% 2.79/3.08 % --bmc1_pre_inst_next_state false
% 2.79/3.08 % --bmc1_pre_inst_state false
% 2.79/3.08 % --bmc1_pre_inst_reach_state false
% 2.79/3.08 % --bmc1_out_unsat_core false
% 2.79/3.08 % --bmc1_aig_witness_out false
% 2.79/3.08 % --bmc1_verbose false
% 2.79/3.08 % --bmc1_dump_clauses_tptp false
% 2.79/3.08 % --bmc1_dump_unsat_core_tptp false
% 2.79/3.08 % --bmc1_dump_file -
% 2.79/3.08 % --bmc1_ucm_expand_uc_limit 128
% 2.79/3.08 % --bmc1_ucm_n_expand_iterations 6
% 2.79/3.08 % --bmc1_ucm_extend_mode 1
% 2.79/3.08 % --bmc1_ucm_init_mode 2
% 2.79/3.08 % --bmc1_ucm_cone_mode none
% 2.79/3.08 % --bmc1_ucm_reduced_relation_type 0
% 2.79/3.08 % --bmc1_ucm_relax_model 4
% 2.79/3.08 % --bmc1_ucm_full_tr_after_sat true
% 2.79/3.08 % --bmc1_ucm_expand_neg_assumptions false
% 2.79/3.08 % --bmc1_ucm_layered_model none
% 2.79/3.08 % --bmc1_ucm_max_lemma_size 10
% 2.79/3.08
% 2.79/3.08 % ------ AIG Options
% 2.79/3.08
% 2.79/3.08 % --aig_mode false
% 2.79/3.08
% 2.79/3.08 % ------ Instantiation Options
% 2.79/3.08
% 2.79/3.08 % --instantiation_flag true
% 2.79/3.08 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.79/3.08 % --inst_solver_per_active 750
% 2.79/3.08 % --inst_solver_calls_frac 0.5
% 2.79/3.08 % --inst_passive_queue_type priority_queues
% 2.79/3.08 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.79/3.08 % --inst_passive_queues_freq [25;2]
% 2.79/3.08 % --inst_dismatching true
% 2.79/3.08 % --inst_eager_unprocessed_to_passive true
% 2.79/3.08 % --inst_prop_sim_given true
% 2.79/3.08 % --inst_prop_sim_new false
% 2.79/3.08 % --inst_orphan_elimination true
% 2.79/3.08 % --inst_learning_loop_flag true
% 2.79/3.08 % --inst_learning_start 3000
% 2.79/3.08 % --inst_learning_factor 2
% 2.79/3.08 % --inst_start_prop_sim_after_learn 3
% 2.79/3.08 % --inst_sel_renew solver
% 2.79/3.08 % --inst_lit_activity_flag true
% 2.79/3.08 % --inst_out_proof true
% 2.79/3.08
% 2.79/3.08 % ------ Resolution Options
% 2.79/3.08
% 2.79/3.08 % --resolution_flag true
% 2.79/3.08 % --res_lit_sel kbo_max
% 2.79/3.08 % --res_to_prop_solver none
% 2.79/3.08 % --res_prop_simpl_new false
% 2.79/3.08 % --res_prop_simpl_given false
% 2.79/3.08 % --res_passive_queue_type priority_queues
% 2.79/3.08 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.79/3.08 % --res_passive_queues_freq [15;5]
% 2.79/3.08 % --res_forward_subs full
% 2.79/3.08 % --res_backward_subs full
% 2.79/3.08 % --res_forward_subs_resolution true
% 2.79/3.08 % --res_backward_subs_resolution true
% 2.79/3.08 % --res_orphan_elimination false
% 2.79/3.08 % --res_time_limit 1000.
% 2.79/3.08 % --res_out_proof true
% 2.79/3.08 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_75eb29.s
% 2.79/3.08 % --modulo true
% 2.79/3.08
% 2.79/3.08 % ------ Combination Options
% 2.79/3.08
% 2.79/3.08 % --comb_res_mult 1000
% 2.79/3.08 % --comb_inst_mult 300
% 2.79/3.08 % ------
% 2.79/3.08
% 2.79/3.08
% 2.79/3.08
% 2.79/3.08 % ------ Proving...
% 2.79/3.08 % warning: shown sat in sat incomplete mode
% 2.79/3.08 %
% 2.79/3.08
% 2.79/3.08
% 2.79/3.08
% 2.79/3.08
% 2.79/3.08 cnf(c_1691,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.79/3.08 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2935_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7537,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.79/3.08 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1691]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7538,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.79/3.08 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.79/3.08 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = X2 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7537]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1620,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2900_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7395,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1620]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7396,plain,
% 2.79/3.08 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7395]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1613,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2897_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7381,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1613]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7382,plain,
% 2.79/3.08 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7381]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1608,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2895_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7371,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1608]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7372,plain,
% 2.79/3.08 ( ~ class_Power_Opower(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7371]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1604,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2894_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7363,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1604]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7364,plain,
% 2.79/3.08 ( ~ class_Power_Opower(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7363]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1601,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2893_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7357,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1601]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7358,plain,
% 2.79/3.08 ( ~ class_Power_Opower(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7357]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1560,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2876_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7275,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.08 | ~ class_Power_Opower(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1560]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7276,plain,
% 2.79/3.08 ( ~ class_Power_Opower(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.08 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7275]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1522,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.79/3.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2863_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7199,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.79/3.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1522]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7200,plain,
% 2.79/3.08 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.79/3.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7199]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1516,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = X2 ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2861_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7187,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = X2 ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1516]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7188,plain,
% 2.79/3.08 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.08 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.08 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.08 | X1 = X2 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7187]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1512,plain,
% 2.79/3.08 ( X0 = X1
% 2.79/3.08 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2859_2) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7179,plain,
% 2.79/3.08 ( X0 = X1
% 2.79/3.08 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1512]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7180,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 2.79/3.08 | X0 = X1 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7179]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1453,plain,
% 2.79/3.08 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 2.79/3.08 | c_lessequals(X1,X1,X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2837_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7061,plain,
% 2.79/3.08 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 2.79/3.08 | c_lessequals(X1,X1,X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1453]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7062,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X0,X1)
% 2.79/3.08 | c_lessequals(X0,X0,X1)
% 2.79/3.08 | ~ class_Orderings_Olinorder(X1) ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7061]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1435,plain,
% 2.79/3.08 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2832_1) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7025,plain,
% 2.79/3.08 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1435]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7026,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.79/3.08 | ~ class_Orderings_Olinorder(X2)
% 2.79/3.08 | X0 = X1 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7025]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1434,plain,
% 2.79/3.08 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2832_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7023,plain,
% 2.79/3.08 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1434]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7024,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.79/3.08 | ~ class_Orderings_Olinorder(X2)
% 2.79/3.08 | X1 = X0 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7023]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1432,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2831_2) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7019,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.08 | X1 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1432]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7020,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.79/3.08 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.79/3.08 | X0 = X1 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7019]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1430,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.08 | X2 = X1 ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2831_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7015,plain,
% 2.79/3.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.08 | X2 = X1 ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1430]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7016,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.08 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.79/3.08 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.79/3.08 | X1 = X0 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7015]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1427,plain,
% 2.79/3.08 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.79/3.08 | X0 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.79/3.08 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2830_0) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7009,plain,
% 2.79/3.08 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.79/3.08 | X0 = X2
% 2.79/3.08 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.79/3.08 inference(copy,[status(esa)],[c_1427]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_7010,plain,
% 2.79/3.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.08 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 2.79/3.08 | X1 = X0 ),
% 2.79/3.08 inference(rewriting,[status(thm)],[c_7009]) ).
% 2.79/3.08
% 2.79/3.08 cnf(c_1424,plain,
% 2.79/3.08 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.79/3.09 | X0 = X2
% 2.79/3.09 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2829_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_7003,plain,
% 2.79/3.09 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 2.79/3.09 | X0 = X2
% 2.79/3.09 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1424]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_7004,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 2.79/3.09 | X1 = X0 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_7003]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1419,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.09 | ~ class_Power_Opower(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2828_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6993,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.09 | ~ class_Power_Opower(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1419]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6994,plain,
% 2.79/3.09 ( ~ class_Power_Opower(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6993]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1413,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.09 | ~ class_Power_Opower(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2827_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6981,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.09 | ~ class_Power_Opower(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1413]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6982,plain,
% 2.79/3.09 ( ~ class_Power_Opower(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6981]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1398,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2821_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6951,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1398]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6952,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6951]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1367,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X1,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2806_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6889,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X1,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1367]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6890,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6889]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1364,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X1,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2805_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6883,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X1,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1364]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6884,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6883]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1357,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.79/3.09 | c_Suc(X0) = X1 ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2802_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6869,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.79/3.09 | c_Suc(X0) = X1 ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1357]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6870,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | c_Suc(X0) = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6869]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1334,plain,
% 2.79/3.09 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | X1 = X2
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2794_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6823,plain,
% 2.79/3.09 ( ~ class_Orderings_Olinorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | X1 = X2
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1334]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6824,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Olinorder(X2)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6823]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1318,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | X1 = X2
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2790_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6791,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | X1 = X2
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1318]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6792,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6791]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1310,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | X2 = X1 ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2788_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6775,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | X2 = X1 ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1310]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6776,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2)
% 2.79/3.09 | X1 = X0 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6775]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1292,plain,
% 2.79/3.09 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2779_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6739,plain,
% 2.79/3.09 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1292]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6740,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6739]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1281,plain,
% 2.79/3.09 ( X0 = X1
% 2.79/3.09 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.79/3.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2774_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6717,plain,
% 2.79/3.09 ( X0 = X1
% 2.79/3.09 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.79/3.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1281]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6718,plain,
% 2.79/3.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.79/3.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6717]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1219,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | X1 = X2
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2753_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6593,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | X1 = X2
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1219]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6594,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X1,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2)
% 2.79/3.09 | X0 = X1 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6593]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1217,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0)
% 2.79/3.09 | X2 = X1 ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2753_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6589,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0)
% 2.79/3.09 | X2 = X1 ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1217]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6590,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X1,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2)
% 2.79/3.09 | X1 = X0 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6589]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1214,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2752_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6583,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1214]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6584,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6583]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1208,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.09 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.79/3.09 | X2 = X3 ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2750_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6571,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.09 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.79/3.09 | X2 = X3 ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1208]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6572,plain,
% 2.79/3.09 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.79/3.09 | X2 = X3 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6571]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1198,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2747_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6551,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1198]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6552,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6551]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1190,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2745_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6535,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1190]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6536,plain,
% 2.79/3.09 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6535]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1182,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2743_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6519,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1182]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6520,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.79/3.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6519]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1178,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2742_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6511,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1178]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6512,plain,
% 2.79/3.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6511]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1174,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2741_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6503,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1174]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6504,plain,
% 2.79/3.09 ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.79/3.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6503]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1170,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2740_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6495,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1170]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6496,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6495]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1157,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2735_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6469,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1157]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6470,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_lessequals(X1,X0,X2)
% 2.79/3.09 | ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6469]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1155,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X2,X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2735_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6465,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X2,X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1155]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6466,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | c_lessequals(X1,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6465]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1147,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2732_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6449,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1147]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6450,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6449]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1143,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2731_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6441,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1143]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6442,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.79/3.09 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6441]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1137,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2729_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6429,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1137]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6430,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6429]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1133,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2728_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6421,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1133]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6422,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6421]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1129,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2727_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6413,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1129]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6414,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6413]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1125,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2726_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6405,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1125]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6406,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6405]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1121,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2725_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6397,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1121]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6398,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6397]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1117,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2724_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6389,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1117]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6390,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6389]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1113,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2723_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6381,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1113]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6382,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6381]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1109,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2722_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6373,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1109]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6374,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6373]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1085,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2712_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6325,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1085]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6326,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6325]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1082,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2711_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6319,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1082]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6320,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6319]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1079,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 2.79/3.09 | c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2710_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6313,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 2.79/3.09 | c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1079]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6314,plain,
% 2.79/3.09 ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 2.79/3.09 | c_lessequals(X0,X2,tc_nat)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6313]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1060,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2701_1) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6275,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1060]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6276,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6275]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1059,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2701_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6273,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1059]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6274,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6273]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1056,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2700_1) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6267,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1056]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6268,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6267]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1055,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2700_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6265,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1055]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6266,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6265]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1051,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2699_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6257,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1051]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6258,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.09 | ~ c_lessequals(X1,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6257]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1049,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X1,X3,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2698_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6253,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X1,X3,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1049]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6254,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X0,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6253]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1047,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2698_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6249,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1047]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6250,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X3,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6249]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1044,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X3,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2697_1) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6243,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X3,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1044]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6244,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | c_lessequals(X3,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X3,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6243]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1043,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X0)
% 2.79/3.09 | c_lessequals(X3,X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2697_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6241,plain,
% 2.79/3.09 ( ~ class_Orderings_Opreorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X0)
% 2.79/3.09 | c_lessequals(X3,X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1043]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6242,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X3,X0,X2)
% 2.79/3.09 | c_lessequals(X3,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Opreorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6241]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1041,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2696_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6237,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X3,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1041]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6238,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.09 | ~ c_lessequals(X3,X1,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6237]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1039,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2696_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6233,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1039]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6234,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.09 | ~ c_lessequals(X1,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6233]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1035,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2695_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6225,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1035]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6226,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X3,X0,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6225]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1032,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X1,X3,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2694_1) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6219,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_lessequals(X1,X3,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1032]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6220,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | c_lessequals(X0,X3,X2)
% 2.79/3.09 | ~ c_lessequals(X1,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6219]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_1031,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.09 | c_lessequals(X1,X3,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2694_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6217,plain,
% 2.79/3.09 ( ~ class_Orderings_Oorder(X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.09 | c_lessequals(X1,X3,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_1031]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6218,plain,
% 2.79/3.09 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.09 | ~ c_lessequals(X1,X3,X2)
% 2.79/3.09 | c_lessequals(X0,X3,X2)
% 2.79/3.09 | ~ class_Orderings_Oorder(X2) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6217]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_935,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2654_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6025,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_935]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6026,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6025]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_930,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2653_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6015,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_930]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6016,plain,
% 2.79/3.09 ( c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6015]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_924,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | X2 = X3 ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2651_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6003,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | X2 = X3 ),
% 2.79/3.09 inference(copy,[status(esa)],[c_924]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_6004,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.09 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 2.79/3.09 | X2 = X3 ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_6003]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_917,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2649_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5989,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_917]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5990,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5989]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_912,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2648_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5979,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_912]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5980,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5979]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_907,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2647_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5969,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_907]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5970,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5969]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_901,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2645_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5957,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_901]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5958,plain,
% 2.79/3.09 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5957]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_897,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2644_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5949,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_897]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5950,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5949]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_893,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2643_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5941,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.09 | ~ c_lessequals(X2,X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_893]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5942,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.79/3.09 | ~ c_lessequals(X2,X0,X1)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5941]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_889,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2642_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5933,plain,
% 2.79/3.09 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_889]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5934,plain,
% 2.79/3.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.09 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5933]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_886,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2641_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5927,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_886]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5928,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5927]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_884,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2641_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5923,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_884]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5924,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5923]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_881,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2640_2) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5917,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_881]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5918,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5917]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_879,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2640_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5913,plain,
% 2.79/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(copy,[status(esa)],[c_879]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5914,plain,
% 2.79/3.09 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.09 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.09 | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.09 inference(rewriting,[status(thm)],[c_5913]) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_870,plain,
% 2.79/3.09 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.79/3.09 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.79/3.09 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 2.79/3.09 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2636_0) ).
% 2.79/3.09
% 2.79/3.09 cnf(c_5895,plain,
% 2.79/3.09 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_870]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5896,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.10 | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5895]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_865,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oring__1(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2634_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5885,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oring__1(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_865]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5886,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.10 | ~ class_Ring__and__Field_Oring__1(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5885]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_862,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2633_1) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5879,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_862]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5880,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5879]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_861,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2633_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5877,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_861]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5878,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5877]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_858,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2632_1) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5871,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_858]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5872,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5871]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_857,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2632_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5869,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_857]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5870,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5869]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_854,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0)
% 2.79/3.10 | ~ c_lessequals(X4,X3,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2631_1) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5863,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0)
% 2.79/3.10 | ~ c_lessequals(X4,X3,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_854]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5864,plain,
% 2.79/3.10 ( c_lessequals(X0,X1,X2)
% 2.79/3.10 | ~ c_lessequals(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5863]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_853,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_lessequals(X4,X3,X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2631_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5861,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_lessequals(X4,X3,X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_853]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5862,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.10 | c_lessequals(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5861]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_850,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_lessequals(X4,X3,X0)
% 2.79/3.10 | ~ c_lessequals(X2,X1,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2630_1) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5855,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | c_lessequals(X4,X3,X0)
% 2.79/3.10 | ~ c_lessequals(X2,X1,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_850]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5856,plain,
% 2.79/3.10 ( c_lessequals(X0,X1,X2)
% 2.79/3.10 | ~ c_lessequals(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5855]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_849,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_lessequals(X2,X1,X0)
% 2.79/3.10 | c_lessequals(X4,X3,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2630_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5853,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.79/3.10 | ~ c_lessequals(X2,X1,X0)
% 2.79/3.10 | c_lessequals(X4,X3,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_849]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5854,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,X2)
% 2.79/3.10 | c_lessequals(X3,X4,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5853]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_846,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2629_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5847,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_846]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5848,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5847]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_843,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(X1,X2,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2628_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5841,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(X1,X2,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_843]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5842,plain,
% 2.79/3.10 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | c_lessequals(X0,X1,X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5841]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_839,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2627_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5833,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_839]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5834,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5833]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_835,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2626_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5825,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_835]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5826,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5825]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_831,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.10 | c_lessequals(X1,X2,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2625_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5817,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.79/3.10 | c_lessequals(X1,X2,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_831]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5818,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.79/3.10 | c_lessequals(X0,X2,X1)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5817]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_827,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2624_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5809,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_827]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5810,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.79/3.10 | c_lessequals(X2,X1,X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5809]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_822,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2622_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5799,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_822]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5800,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5799]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_787,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2605_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5729,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_787]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5730,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5729]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_784,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2604_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5723,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_784]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5724,plain,
% 2.79/3.10 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5723]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_781,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2603_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5717,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_781]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5718,plain,
% 2.79/3.10 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5717]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_778,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2602_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5711,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_778]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5712,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5711]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_775,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2601_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5705,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_775]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5706,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5705]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_772,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2600_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5699,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_772]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5700,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5699]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_770,plain,
% 2.79/3.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 2.79/3.10 | X0 = X2
% 2.79/3.10 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2599_2) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5695,plain,
% 2.79/3.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 2.79/3.10 | X0 = X2
% 2.79/3.10 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_770]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5696,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X0,X2,tc_nat)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 2.79/3.10 | X1 = X2 ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5695]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_768,plain,
% 2.79/3.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.10 | X0 = X2 ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2599_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5691,plain,
% 2.79/3.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.10 | X0 = X2 ),
% 2.79/3.10 inference(copy,[status(esa)],[c_768]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5692,plain,
% 2.79/3.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.10 | ~ c_lessequals(X0,X2,tc_nat)
% 2.79/3.10 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 2.79/3.10 | X2 = X1 ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5691]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_746,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2589_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5647,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_746]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5648,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5647]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_741,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2588_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5637,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_741]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5638,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5637]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_736,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2587_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5627,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_736]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5628,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5627]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_731,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2586_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5617,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_731]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5618,plain,
% 2.79/3.10 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5617]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_726,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2585_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5607,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.10 | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_726]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5608,plain,
% 2.79/3.10 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5607]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_722,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2584_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5599,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_722]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5600,plain,
% 2.79/3.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5599]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_691,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2574_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5537,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_691]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5538,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5537]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_687,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2573_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5529,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_687]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5530,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5529]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_679,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2571_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5513,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_679]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5514,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5513]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_675,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2570_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5505,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_675]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5506,plain,
% 2.79/3.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5505]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_671,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2569_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5497,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_671]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5498,plain,
% 2.79/3.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5497]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_667,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2568_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5489,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_667]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5490,plain,
% 2.79/3.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5489]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_663,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2567_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5481,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_663]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5482,plain,
% 2.79/3.10 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5481]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_639,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2561_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5433,plain,
% 2.79/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_639]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5434,plain,
% 2.79/3.10 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.10 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5433]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_627,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2558_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5409,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_627]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5410,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5409]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_623,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2557_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5401,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_623]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5402,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5401]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_607,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2553_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5369,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_607]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5370,plain,
% 2.79/3.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5369]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_603,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.79/3.10 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2552_0) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5361,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.79/3.10 inference(copy,[status(esa)],[c_603]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_5362,plain,
% 2.79/3.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.10 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.79/3.10 inference(rewriting,[status(thm)],[c_5361]) ).
% 2.79/3.10
% 2.79/3.10 cnf(c_595,plain,
% 2.79/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2550_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5345,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_595]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5346,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5345]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_591,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2549_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5337,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_591]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5338,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5337]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_587,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2548_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5329,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_587]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5330,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5329]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_583,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2547_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5321,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_583]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5322,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5321]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_578,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 2.79/3.11 | X1 = X3
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2545_2) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5311,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 2.79/3.11 | X1 = X3
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_578]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5312,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 2.79/3.11 | X1 = X2 ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5311]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_576,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | X1 = X3 ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2545_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5307,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | X1 = X3 ),
% 2.79/3.11 inference(copy,[status(esa)],[c_576]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5308,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 2.79/3.11 | X2 = X1 ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5307]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_572,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2544_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5299,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_572]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5300,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5299]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_568,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2543_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5291,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_568]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5292,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5291]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_564,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2542_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5283,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_564]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5284,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5283]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_560,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2541_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5275,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_560]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5276,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5275]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_556,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2540_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5267,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_556]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5268,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5267]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_553,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2539_1) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5261,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_553]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5262,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5261]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_552,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2539_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5259,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_552]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5260,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5259]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_549,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2538_1) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5253,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_549]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5254,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5253]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_548,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2538_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5251,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_548]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5252,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5251]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_544,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2537_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5243,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_544]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5244,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5243]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_519,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2525_2) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5193,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_519]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5194,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5193]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_517,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2525_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5189,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_517]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5190,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5189]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_515,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2524_2) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5185,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_515]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5186,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5185]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_513,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2524_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5181,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_513]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5182,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5181]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_510,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.79/3.11 | 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) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2523_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5175,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.79/3.11 | 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) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_510]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5176,plain,
% 2.79/3.11 ( 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)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5175]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_504,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.11 | 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) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2521_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5163,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.11 | 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) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_504]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5164,plain,
% 2.79/3.11 ( 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)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5163]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_501,plain,
% 2.79/3.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.11 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2520_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5157,plain,
% 2.79/3.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.11 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_501]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5158,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X3,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5157]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_463,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.11 | ~ c_lessequals(X3,X4,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2504_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5081,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.11 | ~ c_lessequals(X3,X4,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_463]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5082,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.79/3.11 | ~ c_lessequals(X0,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5081]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_459,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2503_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5073,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_459]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5074,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5073]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_455,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_lessequals(X3,X4,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2502_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5065,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_lessequals(X3,X4,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_455]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5066,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.79/3.11 | ~ c_lessequals(X1,X4,X2)
% 2.79/3.11 | ~ c_lessequals(X0,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5065]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_445,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2499_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5045,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_445]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5046,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5045]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_441,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2498_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5037,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X3,X1,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_441]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5038,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5037]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_437,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2497_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5029,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_437]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5030,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5029]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_432,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2496_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5019,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_432]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5020,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5019]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_427,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2495_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5009,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_427]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5010,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5009]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_423,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2494_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5001,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_423]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_5002,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_5001]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_411,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2491_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4977,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_411]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4978,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4977]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_395,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2487_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4945,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_395]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4946,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4945]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_379,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2483_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4913,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_379]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4914,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ c_lessequals(X1,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4913]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_375,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2482_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4905,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_375]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4906,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.11 | ~ c_lessequals(X1,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4905]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_371,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2481_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4897,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_371]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4898,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.11 | ~ c_lessequals(X0,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4897]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_367,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2480_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4889,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_367]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4890,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X3,X2,X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4889]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_363,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2479_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4881,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_363]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4882,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | ~ c_lessequals(X3,X1,X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4881]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_359,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2478_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4873,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_359]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4874,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.11 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4873]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_355,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2477_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4865,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_355]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4866,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.11 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 2.79/3.11 | ~ c_lessequals(X3,X2,X1)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4865]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_351,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2476_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4857,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_351]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4858,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 2.79/3.11 | ~ c_lessequals(X1,X3,X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4857]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_347,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 2.79/3.11 | X1 = X3
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2475_2) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4849,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 2.79/3.11 | X1 = X3
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_347]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4850,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 2.79/3.11 | c_Power_Opower__class_Opower(X2,X0,X1) != c_Power_Opower__class_Opower(X3,X0,X1)
% 2.79/3.11 | X2 = X3 ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4849]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_345,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | X1 = X3 ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2475_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4845,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.11 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.11 | X1 = X3 ),
% 2.79/3.11 inference(copy,[status(esa)],[c_345]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4846,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 2.79/3.11 | c_Power_Opower__class_Opower(X3,X0,X1) != c_Power_Opower__class_Opower(X2,X0,X1)
% 2.79/3.11 | X3 = X2 ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4845]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_340,plain,
% 2.79/3.11 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2472_2) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4835,plain,
% 2.79/3.11 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_340]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4836,plain,
% 2.79/3.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X0,X2,tc_nat)
% 2.79/3.11 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4835]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_335,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2471_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4825,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_335]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4826,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4825]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_332,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2470_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4819,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_332]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4820,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4819]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_329,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.11 | c_lessequals(X2,X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2469_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4813,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.79/3.11 | c_lessequals(X2,X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_329]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4814,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.79/3.11 | c_lessequals(X1,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4813]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_326,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X1,X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2468_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4807,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.79/3.11 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.79/3.11 | c_lessequals(X1,X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_326]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4808,plain,
% 2.79/3.11 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.79/3.11 | c_lessequals(X0,X3,X2)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4807]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_320,plain,
% 2.79/3.11 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X1,tc_nat)
% 2.79/3.11 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2466_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4795,plain,
% 2.79/3.11 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X1,tc_nat)
% 2.79/3.11 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_320]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4796,plain,
% 2.79/3.11 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4795]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_313,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 2.79/3.11 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2464_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4781,plain,
% 2.79/3.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.79/3.11 | ~ c_lessequals(X1,X2,X0)
% 2.79/3.11 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 2.79/3.11 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_313]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4782,plain,
% 2.79/3.11 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.79/3.11 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 2.79/3.11 | ~ c_lessequals(X2,X4,X3)
% 2.79/3.11 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4781]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_309,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X0,tc_nat)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2463_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4773,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X1,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X2,X0,tc_nat)
% 2.79/3.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_309]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4774,plain,
% 2.79/3.11 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.11 | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4773]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_296,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.11 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.11 | 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)
% 2.79/3.11 | X3 = X4
% 2.79/3.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2459_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4747,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.11 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.11 | 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)
% 2.79/3.11 | X3 = X4
% 2.79/3.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_296]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4748,plain,
% 2.79/3.11 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.11 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.11 | 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)
% 2.79/3.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.79/3.11 | X3 = X4 ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4747]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_293,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2458_1) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4741,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_293]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4742,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4741]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_292,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2458_0) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4739,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_292]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4740,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4739]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_289,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.11 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2457_1) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4733,plain,
% 2.79/3.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.11 inference(copy,[status(esa)],[c_289]) ).
% 2.79/3.11
% 2.79/3.11 cnf(c_4734,plain,
% 2.79/3.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.11 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.11 inference(rewriting,[status(thm)],[c_4733]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_288,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2457_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4731,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_288]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4732,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4731]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_262,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2445_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4679,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_262]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4680,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4679]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_258,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2444_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4671,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_258]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4672,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4671]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_254,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2443_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4663,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_254]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4664,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4663]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_250,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2442_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4655,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_250]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4656,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4655]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_245,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2441_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4645,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_245]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4646,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4645]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_239,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.12 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.12 | 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) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2439_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4633,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.12 | ~ class_Int_Onumber__ring(X0)
% 2.79/3.12 | 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) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_239]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4634,plain,
% 2.79/3.12 ( ~ class_Int_Onumber__ring(X0)
% 2.79/3.12 | ~ class_Ring__and__Field_Oidom(X0)
% 2.79/3.12 | 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) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4633]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_235,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2438_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4625,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_235]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4626,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4625]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_231,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2437_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4617,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_231]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4618,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4617]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_226,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2436_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4607,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_226]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4608,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4607]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_221,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.12 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2435_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4597,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(X2,X3,tc_nat)
% 2.79/3.12 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_221]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4598,plain,
% 2.79/3.12 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.79/3.12 | ~ c_lessequals(X3,X2,tc_nat)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4597]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_201,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2430_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4557,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_201]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4558,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4557]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_193,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_lessequals(X2,X3,tc_nat) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2428_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4541,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_lessequals(X2,X3,tc_nat) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_193]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4542,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,tc_nat)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4541]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_189,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2427_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4533,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_189]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4534,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4533]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_185,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2426_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4525,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_185]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4526,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4525]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_181,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2425_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4517,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_181]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4518,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4517]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_177,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2424_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4509,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_177]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4510,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4509]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_173,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2423_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4501,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_173]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4502,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_lessequals(X2,X3,X0)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4501]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_169,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_lessequals(X3,X2,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2422_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4493,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.79/3.12 | c_lessequals(X3,X2,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_169]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4494,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 2.79/3.12 | c_lessequals(X3,X2,X1)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4493]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_165,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2421_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4485,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_165]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4486,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4485]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_161,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2420_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4477,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_161]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4478,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4477]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_157,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2419_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4469,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_157]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4470,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4469]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_153,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2418_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4461,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_153]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4462,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4461]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_149,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2417_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4453,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_149]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4454,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4453]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_146,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2416_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4447,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_146]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4448,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.79/3.12 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4447]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_139,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | 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)
% 2.79/3.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2413_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4433,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | 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)
% 2.79/3.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_139]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4434,plain,
% 2.79/3.12 ( 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)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4433]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_136,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | 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)
% 2.79/3.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2412_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4427,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | 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)
% 2.79/3.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_136]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4428,plain,
% 2.79/3.12 ( 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)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.79/3.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4427]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_132,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 2.79/3.12 | c_lessequals(X2,X1,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2411_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4419,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 2.79/3.12 | c_lessequals(X2,X1,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_132]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4420,plain,
% 2.79/3.12 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 2.79/3.12 | c_lessequals(X2,X1,X0)
% 2.79/3.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4419]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_128,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.79/3.12 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.12 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2410_0) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4411,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.79/3.12 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.12 | ~ c_lessequals(X1,X0,tc_nat)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_128]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4412,plain,
% 2.79/3.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.79/3.12 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.79/3.12 | ~ c_lessequals(X1,X2,tc_nat)
% 2.79/3.12 | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4411]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_122,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.79/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.79/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.79/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2408_4) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4399,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.79/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.79/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.79/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.79/3.12 inference(copy,[status(esa)],[c_122]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4400,plain,
% 2.79/3.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.79/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.79/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.79/3.12 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.79/3.12 inference(rewriting,[status(thm)],[c_4399]) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_120,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.79/3.12 | ~ c_lessequals(X2,X3,X0)
% 2.79/3.12 | ~ c_lessequals(X1,X4,X0) ),
% 2.79/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2408_2) ).
% 2.79/3.12
% 2.79/3.12 cnf(c_4395,plain,
% 2.79/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.79/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.79/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.12 | ~ c_lessequals(X2,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_120]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4396,plain,
% 2.89/3.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4395]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_118,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2408_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4391,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_118]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4392,plain,
% 2.89/3.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4391]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_116,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2407_4) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4387,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_116]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4388,plain,
% 2.89/3.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4387]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_114,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.89/3.12 | ~ c_lessequals(X3,X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2407_2) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4383,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.89/3.12 | ~ c_lessequals(X3,X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_114]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4384,plain,
% 2.89/3.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.89/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4383]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_112,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X4,X2,X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2407_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4379,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X4,X2,X0)
% 2.89/3.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_112]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4380,plain,
% 2.89/3.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4379]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_108,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2406_2) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4371,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_108]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4372,plain,
% 2.89/3.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4371]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_106,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2406_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4367,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_106]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4368,plain,
% 2.89/3.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4367]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_100,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2405_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4355,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.12 | ~ c_lessequals(X2,X4,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_100]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4356,plain,
% 2.89/3.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4355]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_94,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2404_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4343,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_94]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4344,plain,
% 2.89/3.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.12 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4343]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_90,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2403_2) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4335,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_90]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4336,plain,
% 2.89/3.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4335]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_88,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2403_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4331,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 2.89/3.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_88]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4332,plain,
% 2.89/3.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4331]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_80,plain,
% 2.89/3.12 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2400_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4315,plain,
% 2.89/3.12 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_80]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4316,plain,
% 2.89/3.12 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4315]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_76,plain,
% 2.89/3.12 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2399_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4307,plain,
% 2.89/3.12 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_76]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4308,plain,
% 2.89/3.12 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4307]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_72,plain,
% 2.89/3.12 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2398_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4299,plain,
% 2.89/3.12 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_72]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4300,plain,
% 2.89/3.12 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 2.89/3.12 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4299]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_47,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.89/3.12 | ~ class_Int_Onumber__ring(X0)
% 2.89/3.12 | 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)
% 2.89/3.12 | X1 = X3
% 2.89/3.12 | X2 = X4 ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2389_1) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4249,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.89/3.12 | ~ class_Int_Onumber__ring(X0)
% 2.89/3.12 | 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)
% 2.89/3.12 | X1 = X3
% 2.89/3.12 | X2 = X4 ),
% 2.89/3.12 inference(copy,[status(esa)],[c_47]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4250,plain,
% 2.89/3.12 ( ~ class_Int_Onumber__ring(X0)
% 2.89/3.12 | ~ class_Ring__and__Field_Oidom(X0)
% 2.89/3.12 | 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)
% 2.89/3.12 | X1 = X3
% 2.89/3.12 | X2 = X4 ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4249]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_46,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.89/3.12 | ~ class_Int_Onumber__ring(X0)
% 2.89/3.12 | 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)
% 2.89/3.12 | X2 = X4
% 2.89/3.12 | X1 = X3 ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2389_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4247,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 2.89/3.12 | ~ class_Int_Onumber__ring(X0)
% 2.89/3.12 | 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)
% 2.89/3.12 | X2 = X4
% 2.89/3.12 | X1 = X3 ),
% 2.89/3.12 inference(copy,[status(esa)],[c_46]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4248,plain,
% 2.89/3.12 ( ~ class_Int_Onumber__ring(X0)
% 2.89/3.12 | ~ class_Ring__and__Field_Oidom(X0)
% 2.89/3.12 | 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)
% 2.89/3.12 | X2 = X4
% 2.89/3.12 | X1 = X3 ),
% 2.89/3.12 inference(rewriting,[status(thm)],[c_4247]) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_33,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.12 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2384_0) ).
% 2.89/3.12
% 2.89/3.12 cnf(c_4221,plain,
% 2.89/3.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.12 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.12 inference(copy,[status(esa)],[c_33]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4222,plain,
% 2.89/3.13 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 2.89/3.13 | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_4221]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_30,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.13 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2383_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4215,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.13 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_30]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4216,plain,
% 2.89/3.13 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_4215]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_12,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.13 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2376_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4179,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.13 | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_12]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4180,plain,
% 2.89/3.13 ( ~ 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)
% 2.89/3.13 | 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)
% 2.89/3.13 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_4179]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_3,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.89/3.13 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2373_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4161,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.89/3.13 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_3]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_4162,plain,
% 2.89/3.13 ( ~ 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)
% 2.89/3.13 | 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)
% 2.89/3.13 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_4161]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1890,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(v_ra) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_14) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2247,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(v_ra) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1890]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2257,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(v_ra) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2247]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2258,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(v_ra) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2257]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2263,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(v_ra) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2258]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7891,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(v_ra) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2263]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1889,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_13) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2245,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1889]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2256,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2245]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2259,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2256]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2262,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2259]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7889,negated_conjecture,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2262]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1888,negated_conjecture,
% 2.89/3.13 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_12) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2243,negated_conjecture,
% 2.89/3.13 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1888]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2255,negated_conjecture,
% 2.89/3.13 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2243]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2260,negated_conjecture,
% 2.89/3.13 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2255]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_2261,negated_conjecture,
% 2.89/3.13 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2260]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7887,negated_conjecture,
% 2.89/3.13 ( ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_2261]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1884,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_491_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7882,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OVar(X2) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1884]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1882,plain,
% 2.89/3.13 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_493_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7879,plain,
% 2.89/3.13 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1882]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1881,plain,
% 2.89/3.13 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_494_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7877,plain,
% 2.89/3.13 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OApp(X1,X2) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1881]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1880,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_495_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7875,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OAbs(X2) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1880]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1878,plain,
% 2.89/3.13 ( 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) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_497_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7872,plain,
% 2.89/3.13 ( 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) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1878]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1871,plain,
% 2.89/3.13 ( 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) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_504_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7864,plain,
% 2.89/3.13 ( 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) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1871]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1866,plain,
% 2.89/3.13 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_509_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7858,plain,
% 2.89/3.13 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1866]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1865,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_510_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7856,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1865]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1863,plain,
% 2.89/3.13 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_512_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7853,plain,
% 2.89/3.13 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1863]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1861,plain,
% 2.89/3.13 ( 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))) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_514_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7850,plain,
% 2.89/3.13 ( 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))) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1861]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1860,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_515_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7848,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1860]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1856,plain,
% 2.89/3.13 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_519_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7843,plain,
% 2.89/3.13 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1856]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1854,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_521_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7840,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1854]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1851,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_524_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7836,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X1,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1851]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1850,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_525_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7834,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1850]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1846,plain,
% 2.89/3.13 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_529_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7828,plain,
% 2.89/3.13 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1846]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1845,plain,
% 2.89/3.13 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_530_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7826,plain,
% 2.89/3.13 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1845]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1841,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_534_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7820,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat)),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1841]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1840,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_535_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7818,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1840]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1839,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_536_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7816,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1839]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1836,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_539_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7811,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1836]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1831,plain,
% 2.89/3.13 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_544_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7805,plain,
% 2.89/3.13 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1831]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1829,plain,
% 2.89/3.13 ( c_lessequals(X0,X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_546_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7801,plain,
% 2.89/3.13 ( c_lessequals(X0,X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1829]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1828,plain,
% 2.89/3.13 ( X0 != c_Suc(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_547_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7799,plain,
% 2.89/3.13 ( X0 != c_Suc(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1828]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1827,plain,
% 2.89/3.13 ( c_Suc(X0) != X0 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_548_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7797,plain,
% 2.89/3.13 ( c_Suc(X0) != X0 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1827]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1826,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_549_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7795,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1826]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1824,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_551_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7791,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1824]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1821,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_554_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7786,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1821]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1820,plain,
% 2.89/3.13 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_555_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7784,plain,
% 2.89/3.13 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1820]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1818,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_557_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7780,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1818]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1816,plain,
% 2.89/3.13 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_559_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7776,plain,
% 2.89/3.13 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1816]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1811,plain,
% 2.89/3.13 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_564_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7769,plain,
% 2.89/3.13 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1811]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1808,plain,
% 2.89/3.13 ( class_Power_Opower(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_567_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7765,plain,
% 2.89/3.13 ( class_Power_Opower(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1808]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1807,plain,
% 2.89/3.13 ( class_Orderings_Oorder(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_568_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7763,plain,
% 2.89/3.13 ( class_Orderings_Oorder(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1807]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1806,plain,
% 2.89/3.13 ( class_Orderings_Olinorder(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_569_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7761,plain,
% 2.89/3.13 ( class_Orderings_Olinorder(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1806]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1805,plain,
% 2.89/3.13 ( class_Orderings_Opreorder(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_570_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7759,plain,
% 2.89/3.13 ( class_Orderings_Opreorder(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1805]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1804,plain,
% 2.89/3.13 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_571_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7757,plain,
% 2.89/3.13 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1804]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1803,plain,
% 2.89/3.13 ( class_Divides_Osemiring__div(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_572_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7755,plain,
% 2.89/3.13 ( class_Divides_Osemiring__div(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1803]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1802,plain,
% 2.89/3.13 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_573_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7753,plain,
% 2.89/3.13 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1802]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1801,plain,
% 2.89/3.13 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_574_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7751,plain,
% 2.89/3.13 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1801]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1800,plain,
% 2.89/3.13 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_575_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7749,plain,
% 2.89/3.13 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1800]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1799,plain,
% 2.89/3.13 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_576_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7747,plain,
% 2.89/3.13 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1799]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1798,plain,
% 2.89/3.13 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_577_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7745,plain,
% 2.89/3.13 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1798]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1797,plain,
% 2.89/3.13 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_578_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7743,plain,
% 2.89/3.13 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1797]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1796,plain,
% 2.89/3.13 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_579_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7741,plain,
% 2.89/3.13 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1796]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1795,plain,
% 2.89/3.13 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_580_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7739,plain,
% 2.89/3.13 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1795]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1794,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_581_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7737,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1794]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1793,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_582_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7735,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1793]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1792,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_583_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7733,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1792]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1791,plain,
% 2.89/3.13 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_584_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7731,plain,
% 2.89/3.13 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1791]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1790,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_585_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7729,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1790]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1789,plain,
% 2.89/3.13 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_586_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7727,plain,
% 2.89/3.13 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1789]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1788,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_587_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7725,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1788]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1787,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_588_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7723,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1787]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1786,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_589_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7721,plain,
% 2.89/3.13 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1786]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1785,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_590_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7719,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1785]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1784,plain,
% 2.89/3.13 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_591_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7717,plain,
% 2.89/3.13 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1784]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1783,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_592_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7715,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1783]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1782,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_593_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7713,plain,
% 2.89/3.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1782]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1781,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_594_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7711,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1781]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1780,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_595_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7709,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1780]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1779,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_596_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7707,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1779]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1778,plain,
% 2.89/3.13 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_597_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7705,plain,
% 2.89/3.13 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1778]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1777,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_598_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7703,plain,
% 2.89/3.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1777]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1776,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_599_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7701,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1776]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1775,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_600_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7699,plain,
% 2.89/3.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1775]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1773,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_602_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7696,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1773]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1771,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_604_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7693,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1771]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1767,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_608_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7688,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1767]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1764,plain,
% 2.89/3.13 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2964_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7683,plain,
% 2.89/3.13 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1764]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1762,plain,
% 2.89/3.13 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2963_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7679,plain,
% 2.89/3.13 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1762]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1758,plain,
% 2.89/3.13 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2961_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7671,plain,
% 2.89/3.13 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1758]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1756,plain,
% 2.89/3.13 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2960_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7667,plain,
% 2.89/3.13 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1756]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7668,plain,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7667]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1752,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.89/3.13 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2958_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7659,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.89/3.13 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1752]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1750,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.13 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2957_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7655,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.13 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1750]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1748,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.13 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2956_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7651,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.13 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1748]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1746,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2955_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7647,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1746]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1744,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2954_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7643,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1744]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1742,plain,
% 2.89/3.13 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2953_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7639,plain,
% 2.89/3.13 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1742]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7640,plain,
% 2.89/3.13 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7639]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1739,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2952_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7633,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1739]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1736,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2951_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7627,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1736]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1733,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2950_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7621,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1733]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1731,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2949_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7617,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X0 = X2 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1731]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1729,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2948_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7613,plain,
% 2.89/3.13 ( c_Lambda_OdB_OApp(X0,X1) != c_Lambda_OdB_OApp(X2,X3) | X1 = X3 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1729]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1725,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2947_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7605,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1725]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1721,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2946_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7597,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1721]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1719,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2945_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7593,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1719]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7594,plain,
% 2.89/3.13 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 2.89/3.13 | ~ c_Lambda_Obeta(X0,X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7593]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1716,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2944_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7587,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1716]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1713,plain,
% 2.89/3.13 ( ~ class_Nat_Osemiring__char__0(X0)
% 2.89/3.13 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2943_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7581,plain,
% 2.89/3.13 ( ~ class_Nat_Osemiring__char__0(X0)
% 2.89/3.13 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1713]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1710,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2942_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7575,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1710]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1708,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2941_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7571,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1708]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1704,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2940_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7563,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1704]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1702,plain,
% 2.89/3.13 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2939_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7559,plain,
% 2.89/3.13 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1702]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7560,plain,
% 2.89/3.13 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7559]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1700,plain,
% 2.89/3.13 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2938_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7555,plain,
% 2.89/3.13 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1700]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7556,plain,
% 2.89/3.13 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7555]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1698,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2937_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7551,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1698]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1696,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.89/3.13 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2936_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7547,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.89/3.13 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1696]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1692,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.89/3.13 | X1 = X2
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2935_1) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7539,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.89/3.13 | X1 = X2
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1692]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7540,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7539]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1689,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2934_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7533,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1689]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1687,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2933_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7529,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1687]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1685,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2932_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7525,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1685]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1681,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2930_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7517,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1681]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1679,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2929_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7513,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1679]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1675,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2927_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7505,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1675]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1673,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2926_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7501,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1673]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1671,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2925_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7497,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1671]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1669,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2924_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7493,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1669]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1667,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2923_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7489,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1667]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1665,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2922_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7485,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1665]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1663,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2921_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7481,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1663]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1661,plain,
% 2.89/3.13 ( ~ class_Power_Opower(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2920_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7477,plain,
% 2.89/3.13 ( ~ class_Power_Opower(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1661]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1657,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2918_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7469,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1657]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1655,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2917_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7465,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1655]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1653,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2916_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7461,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1653]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1651,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2915_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7457,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1651]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1649,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2914_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7453,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1649]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1647,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2913_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7449,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1647]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1645,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2912_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7445,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1645]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1643,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2911_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7441,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1643]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1641,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2910_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7437,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1641]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1639,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2909_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7433,plain,
% 2.89/3.13 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.13 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1639]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1635,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2907_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7425,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1635]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1633,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2906_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7421,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1633]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1631,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2905_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7417,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1631]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1629,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2904_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7413,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1629]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1627,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2903_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7409,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1627]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1625,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2902_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7405,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1625]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1623,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.89/3.13 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2901_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7401,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),X1)
% 2.89/3.13 | c_Lambda_Obeta(X0,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1623]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1618,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2899_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7391,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1618]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7392,plain,
% 2.89/3.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7391]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1616,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.13 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2898_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7387,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.13 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1616]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7388,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7387]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1611,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2896_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7377,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1611]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1597,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2891_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7349,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != X0
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1597]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1595,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X2,X0),c_Lambda_OdB_OApp(X2,X1)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2890_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7345,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X2,X0),c_Lambda_OdB_OApp(X2,X1)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1595]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7346,plain,
% 2.89/3.13 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X0,X2))
% 2.89/3.13 | ~ c_Lambda_Obeta(X1,X2) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7345]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1593,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X2),c_Lambda_OdB_OApp(X1,X2)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2889_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7341,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X2),c_Lambda_OdB_OApp(X1,X2)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1593]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7342,plain,
% 2.89/3.13 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(X0,X1),c_Lambda_OdB_OApp(X2,X1))
% 2.89/3.13 | ~ c_Lambda_Obeta(X0,X2) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7341]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1591,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2888_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7337,plain,
% 2.89/3.13 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.13 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1591]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7338,plain,
% 2.89/3.13 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 2.89/3.13 | ~ c_Lambda_Obeta(X0,X2) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7337]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1589,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2887_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7333,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1589]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1587,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2886_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7329,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1587]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1585,plain,
% 2.89/3.13 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2885_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7325,plain,
% 2.89/3.13 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1585]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1583,plain,
% 2.89/3.13 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2884_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7321,plain,
% 2.89/3.13 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1583]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7322,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7321]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1581,plain,
% 2.89/3.13 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2883_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7317,plain,
% 2.89/3.13 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1581]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7318,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7317]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1579,plain,
% 2.89/3.13 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2882_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7313,plain,
% 2.89/3.13 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1579]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7314,plain,
% 2.89/3.13 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7313]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1575,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.13 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2880_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7305,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.13 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1575]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7306,plain,
% 2.89/3.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 2.89/3.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.13 inference(rewriting,[status(thm)],[c_7305]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1572,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2879_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7299,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1572]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1569,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2878_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7293,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1569]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1566,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2877_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7287,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.13 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1566]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1557,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2875_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7269,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1557]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1554,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2874_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7263,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = X2 ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1554]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1549,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2872_1) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7253,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1549]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1548,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2872_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7251,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1548]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1545,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2871_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7245,plain,
% 2.89/3.13 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 2.89/3.13 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1545]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1542,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2870_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7239,plain,
% 2.89/3.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.13 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1542]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1540,plain,
% 2.89/3.13 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.13 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2869_0) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_7235,plain,
% 2.89/3.13 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.13 inference(copy,[status(esa)],[c_1540]) ).
% 2.89/3.13
% 2.89/3.13 cnf(c_1531,plain,
% 2.89/3.13 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.13 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2866_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7217,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1531]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1528,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2865_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7211,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1528]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7212,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_7211]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1526,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 2.89/3.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2864_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7207,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 2.89/3.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1526]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1520,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2862_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7195,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1520]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1510,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 2.89/3.14 | X1 = X0 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2859_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7175,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 2.89/3.14 | X1 = X0 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1510]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1503,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2857_1) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7161,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1503]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1502,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2857_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7159,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1502]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1499,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2856_1) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7153,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1499]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1498,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2856_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7151,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1498]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1493,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2854_1) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7141,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1493]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1492,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2854_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7139,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 2.89/3.14 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1492]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1490,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2853_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7135,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1490]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7136,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_7135]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1488,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2852_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7131,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1488]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7132,plain,
% 2.89/3.14 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_7131]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1486,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2851_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7127,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1486]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1482,plain,
% 2.89/3.14 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2849_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7119,plain,
% 2.89/3.14 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1482]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1480,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2848_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7115,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1480]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1477,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.89/3.14 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2847_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7109,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.89/3.14 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1477]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1475,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.89/3.14 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2846_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7105,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.89/3.14 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1475]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1471,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2844_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7097,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1471]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1467,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2842_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7089,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1467]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1465,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2841_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7085,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1465]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1462,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | c_lessequals(X1,X2,X0)
% 2.89/3.14 | c_lessequals(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2840_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7079,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | c_lessequals(X1,X2,X0)
% 2.89/3.14 | c_lessequals(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1462]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7080,plain,
% 2.89/3.14 ( c_lessequals(X0,X1,X2)
% 2.89/3.14 | c_lessequals(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Olinorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_7079]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1450,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | c_lessequals(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2836_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7055,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | c_lessequals(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1450]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_7056,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | c_lessequals(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Olinorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_7055]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1409,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2825_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6973,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1409]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1407,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2824_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6969,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1407]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1396,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2820_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6947,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1396]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1394,plain,
% 2.89/3.14 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2819_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6943,plain,
% 2.89/3.14 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1394]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6944,plain,
% 2.89/3.14 ( c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6943]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1392,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2818_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6939,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1392]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6940,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6939]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1390,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2817_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6935,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1390]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6936,plain,
% 2.89/3.14 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6935]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1386,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2815_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6927,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1386]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6928,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6927]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1382,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2813_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6919,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1382]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1380,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2812_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6915,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1380]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6916,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6915]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1378,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2811_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6911,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1378]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1376,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2810_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6907,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1376]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1374,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2809_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6903,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1374]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1370,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2807_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6895,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1370]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6896,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6895]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1362,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2804_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6879,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1362]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1360,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2803_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6875,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1360]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1351,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | X1 = X0
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2800_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6857,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | X1 = X0
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1351]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6858,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | X1 = X0 ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6857]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1348,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | X0 = X1
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2799_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6851,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | X0 = X1
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1348]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6852,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | X0 = X1 ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6851]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1344,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2797_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6843,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1344]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6844,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6843]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1342,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2796_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6839,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1342]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6840,plain,
% 2.89/3.14 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6839]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1307,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | X0 = c_Suc(X1)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2787_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6769,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | X0 = c_Suc(X1)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1307]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6770,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | X0 = c_Suc(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6769]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1305,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2786_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6765,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1305]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1303,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2785_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6761,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 2.89/3.14 | c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1303]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1299,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 2.89/3.14 | X0 = X2 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2783_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6753,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)
% 2.89/3.14 | X0 = X2 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1299]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1297,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 2.89/3.14 | X1 = X2 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2782_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6749,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)
% 2.89/3.14 | X1 = X2 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1297]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1295,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2781_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6745,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1295]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1293,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2780_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6741,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1293]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1290,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2779_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6735,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1290]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1288,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.89/3.14 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2778_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6731,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 2.89/3.14 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1288]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1286,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2777_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6727,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1286]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1284,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2776_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6723,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1284]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1282,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.14 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2775_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6719,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.14 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1282]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6720,plain,
% 2.89/3.14 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6719]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1279,plain,
% 2.89/3.14 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | X1 = X0 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2774_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6713,plain,
% 2.89/3.14 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | X1 = X0 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1279]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1277,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2773_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6709,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1277]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6710,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6709]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1275,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2772_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6705,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1275]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6706,plain,
% 2.89/3.14 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6705]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1273,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2771_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6701,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1273]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1270,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.14 | X0 = X1 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2770_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6695,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 2.89/3.14 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.14 | X0 = X1 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1270]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1264,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2768_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6683,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1264]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6684,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Opreorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6683]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1261,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2767_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6677,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1261]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6678,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Olinorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6677]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1258,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2766_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6671,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1258]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6672,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Oorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6671]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1255,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2765_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6665,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1255]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6666,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_lessequals(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Opreorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6665]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1249,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2763_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6653,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1249]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6654,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_lessequals(X1,X0,X2)
% 2.89/3.14 | ~ class_Orderings_Olinorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6653]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1246,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X1,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2762_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6647,plain,
% 2.89/3.14 ( ~ class_Orderings_Olinorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X1,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1246]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6648,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 2.89/3.14 | ~ c_lessequals(X0,X0,X1)
% 2.89/3.14 | ~ class_Orderings_Olinorder(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6647]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1243,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 2.89/3.14 | X1 = X2 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2761_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6641,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 2.89/3.14 | X1 = X2 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1243]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1240,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 2.89/3.14 | X2 = X3 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2760_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6635,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.14 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 2.89/3.14 | X2 = X3 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1240]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1237,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 2.89/3.14 | X1 = X3 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2759_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6629,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 2.89/3.14 | X1 = X3 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1237]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1234,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.89/3.14 | X2 = X3 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2758_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6623,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.89/3.14 | X2 = X3 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1234]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1231,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.89/3.14 | X2 = X3 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2757_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6617,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.89/3.14 | X2 = X3 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1231]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1229,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2756_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6613,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1229]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6614,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6613]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1212,plain,
% 2.89/3.14 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2751_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6579,plain,
% 2.89/3.14 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1212]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6580,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6579]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1205,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2749_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6565,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1205]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6566,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6565]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1202,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2748_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6559,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1202]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6560,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6559]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1167,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2739_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6489,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1167]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6490,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6489]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1164,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.14 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2738_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6483,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.14 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1164]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6484,plain,
% 2.89/3.14 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 2.89/3.14 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6483]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1162,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2737_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6479,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1162]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6480,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6479]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1159,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2736_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6473,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1159]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6474,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 2.89/3.14 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6473]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1151,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.14 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2733_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6457,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.14 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1151]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1141,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2730_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6437,plain,
% 2.89/3.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1141]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6438,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X0 ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6437]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1106,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.14 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2721_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6367,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.14 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.89/3.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1106]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1103,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.14 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2720_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6361,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.14 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1103]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1102,plain,
% 2.89/3.14 ( c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X2,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2719_2) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6359,plain,
% 2.89/3.14 ( c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X2,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1102]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1101,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(X2,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X2,X0,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2719_1) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6357,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(X2,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X2,X0,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1101]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1100,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X2,X0,tc_nat)
% 2.89/3.14 | c_lessequals(X2,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2719_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6355,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | ~ c_lessequals(X2,X0,tc_nat)
% 2.89/3.14 | c_lessequals(X2,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1100]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1098,plain,
% 2.89/3.14 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2718_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6351,plain,
% 2.89/3.14 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1098]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6352,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat)) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6351]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1096,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.14 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2717_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6347,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.14 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1096]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1094,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2716_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6343,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1094]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1092,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2715_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6339,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1092]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1090,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2714_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6335,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1090]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1088,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2713_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6331,plain,
% 2.89/3.14 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1088]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1087,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2712_2) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6329,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1087]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1077,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2709_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6309,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1077]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1071,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2706_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6297,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1071]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1069,plain,
% 2.89/3.14 ( ~ class_Power_Opower(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2705_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6293,plain,
% 2.89/3.14 ( ~ class_Power_Opower(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1069]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1067,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2704_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6289,plain,
% 2.89/3.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.14 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1067]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1065,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.14 | 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) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2703_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6285,plain,
% 2.89/3.14 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.89/3.14 | 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) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1065]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1063,plain,
% 2.89/3.14 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2702_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6281,plain,
% 2.89/3.14 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 2.89/3.14 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1063]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6282,plain,
% 2.89/3.14 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 2.89/3.14 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6281]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1061,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2701_2) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6277,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1061]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6278,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.89/3.14 | ~ class_Orderings_Opreorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6277]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1057,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2700_2) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6269,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1057]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6270,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.14 | ~ class_Orderings_Oorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6269]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1052,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2699_1) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6259,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1052]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6260,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.14 | ~ c_lessequals(X3,X1,X2)
% 2.89/3.14 | ~ class_Orderings_Opreorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6259]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1045,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | c_lessequals(X1,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.14 | ~ c_lessequals(X3,X2,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2697_2) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6245,plain,
% 2.89/3.14 ( ~ class_Orderings_Opreorder(X0)
% 2.89/3.14 | c_lessequals(X1,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.14 | ~ c_lessequals(X3,X2,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1045]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6246,plain,
% 2.89/3.14 ( c_lessequals(X0,X1,X2)
% 2.89/3.14 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.14 | ~ c_lessequals(X3,X1,X2)
% 2.89/3.14 | ~ class_Orderings_Opreorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6245]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1036,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2695_1) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6227,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1036]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6228,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.89/3.14 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.14 | ~ class_Orderings_Oorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6227]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1033,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | c_lessequals(X1,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X3,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X1,X3,X0) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2694_2) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6221,plain,
% 2.89/3.14 ( ~ class_Orderings_Oorder(X0)
% 2.89/3.14 | c_lessequals(X1,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X3,X2,X0)
% 2.89/3.14 | ~ c_lessequals(X1,X3,X0) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1033]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6222,plain,
% 2.89/3.14 ( c_lessequals(X0,X1,X2)
% 2.89/3.14 | ~ c_lessequals(X3,X1,X2)
% 2.89/3.14 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.14 | ~ class_Orderings_Oorder(X2) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6221]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1029,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2693_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6213,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1029]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6214,plain,
% 2.89/3.14 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6213]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1023,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2690_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6201,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1023]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6202,plain,
% 2.89/3.14 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.89/3.14 | ~ c_lessequals(X0,X1,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6201]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1021,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.14 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2689_0) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6197,plain,
% 2.89/3.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.14 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.14 inference(copy,[status(esa)],[c_1021]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_6198,plain,
% 2.89/3.14 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.89/3.14 | ~ c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.14 inference(rewriting,[status(thm)],[c_6197]) ).
% 2.89/3.14
% 2.89/3.14 cnf(c_1015,plain,
% 2.89/3.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.14 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2686_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6185,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1015]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6186,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6185]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_1013,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2685_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6181,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1013]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6182,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6181]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_1010,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2684_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6175,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1010]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_1008,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2683_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6171,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1008]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_1004,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2681_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6163,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X1 ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1004]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_1002,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2680_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6159,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1002]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_1000,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2679_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6155,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_1000]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6156,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6155]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_997,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.89/3.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2678_1) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6149,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.89/3.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_997]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_996,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.89/3.15 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2678_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6147,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.89/3.15 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_996]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_994,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2677_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6143,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_994]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_992,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2676_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6139,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_992]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_990,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2675_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6135,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_990]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_988,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2674_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6131,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_988]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6132,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6131]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_986,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2673_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6127,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_986]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6128,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6127]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_984,plain,
% 2.89/3.15 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.15 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2672_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6123,plain,
% 2.89/3.15 ( ~ c_Lambda_Obeta(X0,X1)
% 2.89/3.15 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_984]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6124,plain,
% 2.89/3.15 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 2.89/3.15 | ~ c_Lambda_Obeta(X0,X3) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6123]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_982,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2671_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6119,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_982]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_980,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2670_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6115,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_980]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6116,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6115]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_976,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2668_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6107,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_976]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_974,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2667_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6103,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_974]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_971,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2666_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6097,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_971]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6098,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6097]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_968,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2665_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6091,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_968]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6092,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_lessequals(X0,X1,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6091]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_966,plain,
% 2.89/3.15 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2664_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6087,plain,
% 2.89/3.15 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_966]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6088,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6087]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_963,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2663_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6081,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_963]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6082,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6081]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_961,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2662_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6077,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_961]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6078,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6077]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_958,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2661_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6071,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_958]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6072,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6071]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_955,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2660_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6065,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_955]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6066,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6065]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_952,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2659_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6059,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_952]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6060,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6059]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_949,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2658_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6053,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_949]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6054,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6053]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_946,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2657_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6047,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_946]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6048,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6047]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_943,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2656_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6041,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_943]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6042,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6041]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_940,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2655_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6035,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_940]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6036,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.89/3.15 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_6035]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_928,plain,
% 2.89/3.15 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 2.89/3.15 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2652_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_6011,plain,
% 2.89/3.15 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 2.89/3.15 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 2.89/3.15 inference(copy,[status(esa)],[c_928]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_921,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2650_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5997,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_921]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5998,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5997]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_905,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2646_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5965,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_905]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_877,plain,
% 2.89/3.15 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.15 | c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2639_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5909,plain,
% 2.89/3.15 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.15 | c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_877]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_875,plain,
% 2.89/3.15 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.15 | c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2638_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5905,plain,
% 2.89/3.15 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.15 | c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_875]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_873,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2637_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5901,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_873]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_871,plain,
% 2.89/3.15 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2636_1) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5897,plain,
% 2.89/3.15 ( c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_871]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5898,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X0,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5897]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_868,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2635_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5891,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_868]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_825,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2623_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5805,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_825]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_818,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2620_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5791,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_818]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_814,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2618_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5783,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_814]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_812,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2617_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5779,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_812]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_810,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2616_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5775,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_810]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_806,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2614_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5767,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_806]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_804,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2613_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5763,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_804]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_800,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2611_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5755,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_800]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_798,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2610_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5751,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_798]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_796,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2609_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5747,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_796]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_794,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2608_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5743,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_794]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_792,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2607_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5739,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_792]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_790,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2606_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5735,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.15 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_790]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_774,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2600_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5703,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_774]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_766,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2598_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5687,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_766]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_764,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2597_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5683,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.15 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_764]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_762,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.15 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2596_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5679,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.15 | c_Lambda_Olift(c_Lambda_Olift(X2,X0),c_Suc(X1)) = c_Lambda_Olift(c_Lambda_Olift(X2,X1),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_762]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_760,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | 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) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2595_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5675,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | 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) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_760]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5676,plain,
% 2.89/3.15 ( 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)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5675]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_758,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2594_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5671,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_758]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5672,plain,
% 2.89/3.15 ( 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)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5671]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_756,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2593_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5667,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_756]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5668,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5667]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_754,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2592_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5663,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_754]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5664,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_lessequals(X2,X1,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5663]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_752,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2591_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5659,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_752]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5660,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5659]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_750,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2590_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5655,plain,
% 2.89/3.15 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_750]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5656,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)
% 2.89/3.15 | ~ c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5655]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_719,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2583_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5593,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_719]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5594,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5593]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_716,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2582_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5587,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_716]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5588,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5587]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_713,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2581_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5581,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_713]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5582,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5581]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_710,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2580_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5575,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_710]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5576,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5575]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_707,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2579_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5569,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_707]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5570,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.89/3.15 | ~ c_lessequals(X1,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5569]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_704,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2578_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5563,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_704]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5564,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.89/3.15 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5563]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_701,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2577_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5557,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_701]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5558,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.89/3.15 | ~ c_lessequals(X1,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5557]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_698,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2576_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5551,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.89/3.15 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_698]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5552,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.89/3.15 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5551]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_696,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2575_1) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5547,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_696]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_695,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2575_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5545,plain,
% 2.89/3.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_695]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_693,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2574_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5541,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_693]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5542,plain,
% 2.89/3.15 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5541]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_689,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2573_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5533,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_689]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_681,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2571_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5517,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_681]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_677,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2570_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5509,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_677]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5510,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5509]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_673,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2569_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5501,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_673]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5502,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5501]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_669,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2568_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5493,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_669]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5494,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5493]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_665,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2567_2) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5485,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.15 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_665]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5486,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5485]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_647,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2563_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5449,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_647]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5450,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.15 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5449]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_643,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2562_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5441,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_643]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5442,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5441]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_635,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2560_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5425,plain,
% 2.89/3.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.15 inference(copy,[status(esa)],[c_635]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5426,plain,
% 2.89/3.15 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.15 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.15 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.89/3.15 inference(rewriting,[status(thm)],[c_5425]) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_631,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.89/3.15 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2559_0) ).
% 2.89/3.15
% 2.89/3.15 cnf(c_5417,plain,
% 2.89/3.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.15 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_631]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5418,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5417]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_625,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2557_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5405,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_625]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5406,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5405]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_615,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2555_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5385,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_615]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5386,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5385]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_611,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2554_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5377,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_611]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5378,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5377]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_609,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2553_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5373,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_609]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5374,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5373]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_605,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2552_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5365,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_605]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5366,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5365]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_599,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2551_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5353,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_599]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5354,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5353]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_593,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2549_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5341,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_593]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5342,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5341]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_589,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2548_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5333,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_589]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5334,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5333]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_581,plain,
% 2.89/3.16 ( c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)
% 2.89/3.16 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2546_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5317,plain,
% 2.89/3.16 ( c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)) = c_HOL_Oplus__class_Oplus(X0,X1,tc_nat)
% 2.89/3.16 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_581]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_538,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2534_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5231,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_538]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_536,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2533_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5227,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_536]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_534,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2532_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5223,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X0,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_534]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_531,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2531_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5217,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 2.89/3.16 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 2.89/3.16 inference(copy,[status(esa)],[c_531]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_529,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2530_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5213,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_529]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_527,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2529_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5209,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_527]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5210,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5209]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_525,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.89/3.16 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2528_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5205,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
% 2.89/3.16 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_525]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5206,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5205]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_523,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2527_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5201,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_523]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_521,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2526_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5197,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 2.89/3.16 inference(copy,[status(esa)],[c_521]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_512,plain,
% 2.89/3.16 ( 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)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2523_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5179,plain,
% 2.89/3.16 ( 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)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_512]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_507,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2522_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5169,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_507]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5170,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5169]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_506,plain,
% 2.89/3.16 ( 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)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2521_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5167,plain,
% 2.89/3.16 ( 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)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_506]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_503,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X3,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2520_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5161,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X3,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_503]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_499,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2519_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5153,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_499]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_497,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2518_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5149,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_497]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_493,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2516_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5141,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_493]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_491,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2515_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5137,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_491]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_489,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2514_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5133,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_489]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_487,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2513_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5129,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_487]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_485,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2512_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5125,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_485]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_483,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2511_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5121,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_483]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_481,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2510_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5117,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_481]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_479,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2509_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5113,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_479]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_477,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2508_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5109,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_477]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_474,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | 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)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2507_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5103,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | 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)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_474]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_471,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | 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)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2506_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5097,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | 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)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_471]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_467,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.16 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2505_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5089,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.16 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_467]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5090,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.16 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5089]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_461,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2503_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5077,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_461]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5078,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5077]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_457,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.89/3.16 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.89/3.16 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.16 | ~ c_lessequals(X2,X4,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2502_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5069,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.89/3.16 | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.89/3.16 | ~ c_lessequals(X1,X3,X0)
% 2.89/3.16 | ~ c_lessequals(X2,X4,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_457]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5070,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.89/3.16 | ~ c_lessequals(X0,X3,X2)
% 2.89/3.16 | ~ c_lessequals(X1,X4,X2)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5069]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_453,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2501_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5061,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X0,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_453]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5062,plain,
% 2.89/3.16 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),X2,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X2,X1,tc_nat) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5061]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_434,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.16 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2496_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5023,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.16 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_434]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5024,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.16 | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5023]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_429,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.16 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2495_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5013,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.16 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_429]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_5014,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.16 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_5013]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_407,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2490_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4969,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_407]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4970,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4969]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_415,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2492_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4985,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_415]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4986,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4985]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_387,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2485_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4929,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_387]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4930,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4929]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_383,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2484_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4921,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_383]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4922,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4921]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_343,plain,
% 2.89/3.16 ( ~ 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)
% 2.89/3.16 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2474_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4841,plain,
% 2.89/3.16 ( ~ 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)
% 2.89/3.16 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_343]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_341,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 2.89/3.16 | c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2473_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4837,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat)
% 2.89/3.16 | c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_341]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_338,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2472_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4831,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_338]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_323,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2467_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4801,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.16 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_323]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4802,plain,
% 2.89/3.16 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 2.89/3.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4801]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_317,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2465_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4789,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_317]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4790,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4789]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_314,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.89/3.16 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.16 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 2.89/3.16 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2464_1) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4783,plain,
% 2.89/3.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.89/3.16 | ~ c_lessequals(X1,X2,X0)
% 2.89/3.16 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 2.89/3.16 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_314]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4784,plain,
% 2.89/3.16 ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.89/3.16 | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 2.89/3.16 | ~ c_lessequals(X4,X2,X3)
% 2.89/3.16 | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4783]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_308,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2462_3) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4771,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_308]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_303,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2461_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4761,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_303]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_301,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2460_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4757,plain,
% 2.89/3.16 ( ~ c_lessequals(X0,X1,tc_nat)
% 2.89/3.16 | c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_301]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_286,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2456_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4727,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_286]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_284,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2455_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4723,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_284]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_276,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2451_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4707,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_276]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_274,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2450_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4703,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_274]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_272,plain,
% 2.89/3.16 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2449_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4699,plain,
% 2.89/3.16 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_272]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_270,plain,
% 2.89/3.16 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2448_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4695,plain,
% 2.89/3.16 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_270]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_268,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2447_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4691,plain,
% 2.89/3.16 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.16 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_268]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_266,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2446_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4687,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.16 | 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) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_266]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_218,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2434_1) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4591,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_218]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_217,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2434_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4589,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Ofield(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_217]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_214,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2433_1) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4583,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_214]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_213,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2433_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4581,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_213]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_210,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2432_1) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4575,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_210]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_209,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2432_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4573,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.89/3.16 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.89/3.16 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.89/3.16 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_209]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_144,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.16 | c_Lambda_Osubst(c_Lambda_Olift(X2,X0),c_Lambda_Olift(X3,X0),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X1),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2415_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4443,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.16 | c_Lambda_Osubst(c_Lambda_Olift(X2,X0),c_Lambda_Olift(X3,X0),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X1),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_144]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_142,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2414_0) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4439,plain,
% 2.89/3.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.16 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_142]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4440,plain,
% 2.89/3.16 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.89/3.16 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.16 inference(rewriting,[status(thm)],[c_4439]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_130,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2410_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4415,plain,
% 2.89/3.16 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_130]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_126,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2409_2) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4407,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_126]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_125,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.16 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2409_1) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_4405,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.16 | c_lessequals(X0,X2,tc_nat)
% 2.89/3.16 | ~ c_lessequals(X1,X0,tc_nat) ),
% 2.89/3.16 inference(copy,[status(esa)],[c_125]) ).
% 2.89/3.16
% 2.89/3.16 cnf(c_124,plain,
% 2.89/3.16 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.17 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.17 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.17 | c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2409_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4403,plain,
% 2.89/3.17 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 2.89/3.17 | ~ c_lessequals(X1,X2,tc_nat)
% 2.89/3.17 | ~ c_lessequals(X1,X0,tc_nat)
% 2.89/3.17 | c_lessequals(X0,X2,tc_nat) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_124]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_110,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2406_4) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4375,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_110]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4376,plain,
% 2.89/3.17 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.89/3.17 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4375]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_86,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2402_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4327,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_86]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_84,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2401_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4323,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_84]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_82,plain,
% 2.89/3.17 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2400_2) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4319,plain,
% 2.89/3.17 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_82]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_78,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2399_2) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4311,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_78]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_74,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2398_2) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4303,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_74]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_68,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2397_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4291,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_68]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4292,plain,
% 2.89/3.17 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.89/3.17 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4291]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_66,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2396_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4287,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_66]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4288,plain,
% 2.89/3.17 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.89/3.17 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4287]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_64,plain,
% 2.89/3.17 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.17 | c_Lambda_Osubst(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X3,X1),X0) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X0),X1) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2395_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4283,plain,
% 2.89/3.17 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.17 | c_Lambda_Osubst(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X3,X1),X0) = c_Lambda_Olift(c_Lambda_Osubst(X2,X3,X0),X1) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_64]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_62,plain,
% 2.89/3.17 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.17 | c_Lambda_Osubst(c_Lambda_Osubst(X2,c_Lambda_Olift(X3,X0),c_Suc(X1)),c_Lambda_Osubst(X4,X3,X1),X0) = c_Lambda_Osubst(c_Lambda_Osubst(X2,X4,X0),X3,X1) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2394_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4279,plain,
% 2.89/3.17 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 2.89/3.17 | c_Lambda_Osubst(c_Lambda_Osubst(X2,c_Lambda_Olift(X3,X0),c_Suc(X1)),c_Lambda_Osubst(X4,X3,X1),X0) = c_Lambda_Osubst(c_Lambda_Osubst(X2,X4,X0),X3,X1) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_62]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_60,plain,
% 2.89/3.17 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2393_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4275,plain,
% 2.89/3.17 ( ~ class_Divides_Oring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_60]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_58,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2392_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4271,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_58]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_56,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2391_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4267,plain,
% 2.89/3.17 ( ~ class_Divides_Osemiring__div(X0)
% 2.89/3.17 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_56]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_44,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Osemiring(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2388_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4243,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Osemiring(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_44]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_41,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | 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)
% 2.89/3.17 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2387_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4237,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | 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)
% 2.89/3.17 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_41]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_38,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | 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)
% 2.89/3.17 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2386_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4231,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | 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)
% 2.89/3.17 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 2.89/3.17 inference(copy,[status(esa)],[c_38]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4232,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 2.89/3.17 | 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) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4231]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_36,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2385_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4227,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_36]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4228,plain,
% 2.89/3.17 ( ~ 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)
% 2.89/3.17 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4227]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_26,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2381_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4207,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oring(X0)
% 2.89/3.17 | 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) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_26]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_24,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.17 | ~ 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) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2380_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4203,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.89/3.17 | ~ 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) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_24]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4204,plain,
% 2.89/3.17 ( ~ 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)
% 2.89/3.17 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4203]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_21,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2379_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4197,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_21]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_18,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2378_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4191,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_18]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4192,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4191]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_15,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2377_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4185,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_15]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4186,plain,
% 2.89/3.17 ( 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)
% 2.89/3.17 | ~ 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)
% 2.89/3.17 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4185]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_9,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2375_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4173,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_9]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4174,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.89/3.17 | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4173]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_6,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2374_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4167,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.89/3.17 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_6]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_0,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.89/3.17 file('/export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p', c_0_2372_0) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4155,plain,
% 2.89/3.17 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.89/3.17 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.89/3.17 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.89/3.17 inference(copy,[status(esa)],[c_0]) ).
% 2.89/3.17
% 2.89/3.17 cnf(c_4156,plain,
% 2.89/3.17 ( 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)
% 2.89/3.17 | ~ 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)
% 2.89/3.17 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.89/3.17 inference(rewriting,[status(thm)],[c_4155]) ).
% 2.89/3.17
% 2.89/3.17
% 2.89/3.17
% 2.89/3.17 % ------ Statistics
% 2.89/3.17
% 2.89/3.17 % ------ General
% 2.89/3.17
% 2.89/3.17 % num_of_input_clauses: 1891
% 2.89/3.17 % num_of_input_neg_conjectures: 3
% 2.89/3.17 % num_of_splits: 0
% 2.89/3.17 % num_of_split_atoms: 0
% 2.89/3.17 % num_of_sem_filtered_clauses: 0
% 2.89/3.17 % num_of_subtypes: 0
% 2.89/3.17 % monotx_restored_types: 0
% 2.89/3.17 % sat_num_of_epr_types: 0
% 2.89/3.17 % sat_num_of_non_cyclic_types: 0
% 2.89/3.17 % sat_guarded_non_collapsed_types: 0
% 2.89/3.17 % is_epr: 0
% 2.89/3.17 % is_horn: 0
% 2.89/3.17 % has_eq: 1
% 2.89/3.17 % num_pure_diseq_elim: 0
% 2.89/3.17 % simp_replaced_by: 0
% 2.89/3.17 % res_preprocessed: 6
% 2.89/3.17 % prep_upred: 0
% 2.89/3.17 % prep_unflattend: 0
% 2.89/3.17 % pred_elim_cands: 0
% 2.89/3.17 % pred_elim: 0
% 2.89/3.17 % pred_elim_cl: 0
% 2.89/3.17 % pred_elim_cycles: 0
% 2.89/3.17 % forced_gc_time: 0
% 2.89/3.17 % gc_basic_clause_elim: 0
% 2.89/3.17 % parsing_time: 0.102
% 2.89/3.17 % sem_filter_time: 0.
% 2.89/3.17 % pred_elim_time: 0.
% 2.89/3.17 % out_proof_time: 0.
% 2.89/3.17 % monotx_time: 0.
% 2.89/3.17 % subtype_inf_time: 0.
% 2.89/3.17 % unif_index_cands_time: 0.
% 2.89/3.17 % unif_index_add_time: 0.001
% 2.89/3.17 % total_time: 2.645
% 2.89/3.17 % num_of_symbols: 106
% 2.89/3.17 % num_of_terms: 4069
% 2.89/3.17
% 2.89/3.17 % ------ Propositional Solver
% 2.89/3.17
% 2.89/3.17 % prop_solver_calls: 1
% 2.89/3.17 % prop_fast_solver_calls: 9
% 2.89/3.17 % prop_num_of_clauses: 1533
% 2.89/3.17 % prop_preprocess_simplified: 5973
% 2.89/3.17 % prop_fo_subsumed: 0
% 2.89/3.17 % prop_solver_time: 0.
% 2.89/3.17 % prop_fast_solver_time: 0.
% 2.89/3.17 % prop_unsat_core_time: 0.
% 2.89/3.17
% 2.89/3.17 % ------ QBF
% 2.89/3.17
% 2.89/3.17 % qbf_q_res: 0
% 2.89/3.17 % qbf_num_tautologies: 0
% 2.89/3.17 % qbf_prep_cycles: 0
% 2.89/3.17
% 2.89/3.17 % ------ BMC1
% 2.89/3.17
% 2.89/3.17 % bmc1_current_bound: -1
% 2.89/3.17 % bmc1_last_solved_bound: -1
% 2.89/3.17 % bmc1_unsat_core_size: -1
% 2.89/3.17 % bmc1_unsat_core_parents_size: -1
% 2.89/3.17 % bmc1_merge_next_fun: 0
% 2.89/3.17 % bmc1_unsat_core_clauses_time: 0.
% 2.89/3.17
% 2.89/3.17 % ------ Instantiation
% 2.89/3.17
% 2.89/3.17 % inst_num_of_clauses: 1707
% 2.89/3.17 % inst_num_in_passive: 0
% 2.89/3.17 % inst_num_in_active: 0
% 2.89/3.17 % inst_num_in_unprocessed: 1891
% 2.89/3.17 % inst_num_of_loops: 0
% 2.89/3.17 % inst_num_of_learning_restarts: 0
% 2.89/3.17 % inst_num_moves_active_passive: 0
% 2.89/3.17 % inst_lit_activity: 0
% 2.89/3.17 % inst_lit_activity_moves: 0
% 2.89/3.17 % inst_num_tautologies: 0
% 2.89/3.17 % inst_num_prop_implied: 0
% 2.89/3.17 % inst_num_existing_simplified: 0
% 2.89/3.17 % inst_num_eq_res_simplified: 0
% 2.89/3.17 % inst_num_child_elim: 0
% 2.89/3.17 % inst_num_of_dismatching_blockings: 0
% 2.89/3.17 % inst_num_of_non_proper_insts: 0
% 2.89/3.17 % inst_num_of_duplicates: 0
% 2.89/3.17 % inst_inst_num_from_inst_to_res: 0
% 2.89/3.17 % inst_dismatching_checking_time: 0.
% 2.89/3.17
% 2.89/3.17 % ------ Resolution
% 2.89/3.17
% 2.89/3.17 % res_num_of_clauses: 1935
% 2.89/3.17 % res_num_in_passive: 0
% 2.89/3.17 % res_num_in_active: 673
% 2.89/3.17 % res_num_of_loops: 4
% 2.89/3.17 % res_forward_subset_subsumed: 1167
% 2.89/3.17 % res_backward_subset_subsumed: 7
% 2.89/3.17 % res_forward_subsumed: 0
% 2.89/3.17 % res_backward_subsumed: 0
% 2.89/3.17 % res_forward_subsumption_resolution: 0
% 2.89/3.17 % res_backward_subsumption_resolution: 0
% 2.89/3.17 % res_clause_to_clause_subsumption: 0
% 2.89/3.17 % res_orphan_elimination: 0
% 2.89/3.17 % res_tautology_del: 0
% 2.89/3.17 % res_num_eq_res_simplified: 0
% 2.89/3.17 % res_num_sel_changes: 0
% 2.89/3.17 % res_moves_from_active_to_pass: 0
% 2.89/3.17
% 2.89/3.17 % Status Unknown
% 3.00/3.33 % Orienting using strategy ClausalAll
% 3.00/3.33 % Orientation found
% 3.00/3.33 % 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_75eb29.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1fd5c0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_8c479d | grep -v "SZS"
% 3.00/3.35
% 3.00/3.35 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 3.00/3.35
% 3.00/3.35 %
% 3.00/3.35 % ------ iProver source info
% 3.00/3.35
% 3.00/3.35 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 3.00/3.35 % git: non_committed_changes: true
% 3.00/3.35 % git: last_make_outside_of_git: true
% 3.00/3.35
% 3.00/3.35 %
% 3.00/3.35 % ------ Input Options
% 3.00/3.35
% 3.00/3.35 % --out_options all
% 3.00/3.35 % --tptp_safe_out true
% 3.00/3.35 % --problem_path ""
% 3.00/3.35 % --include_path ""
% 3.00/3.35 % --clausifier .//eprover
% 3.00/3.35 % --clausifier_options --tstp-format
% 3.00/3.35 % --stdin false
% 3.00/3.35 % --dbg_backtrace false
% 3.00/3.35 % --dbg_dump_prop_clauses false
% 3.00/3.35 % --dbg_dump_prop_clauses_file -
% 3.00/3.35 % --dbg_out_stat false
% 3.00/3.35
% 3.00/3.35 % ------ General Options
% 3.00/3.35
% 3.00/3.35 % --fof false
% 3.00/3.35 % --time_out_real 150.
% 3.00/3.35 % --time_out_prep_mult 0.2
% 3.00/3.35 % --time_out_virtual -1.
% 3.00/3.35 % --schedule none
% 3.00/3.35 % --ground_splitting input
% 3.00/3.36 % --splitting_nvd 16
% 3.00/3.36 % --non_eq_to_eq false
% 3.00/3.36 % --prep_gs_sim true
% 3.00/3.36 % --prep_unflatten false
% 3.00/3.36 % --prep_res_sim true
% 3.00/3.36 % --prep_upred true
% 3.00/3.36 % --res_sim_input true
% 3.00/3.36 % --clause_weak_htbl true
% 3.00/3.36 % --gc_record_bc_elim false
% 3.00/3.36 % --symbol_type_check false
% 3.00/3.36 % --clausify_out false
% 3.00/3.36 % --large_theory_mode false
% 3.00/3.36 % --prep_sem_filter none
% 3.00/3.36 % --prep_sem_filter_out false
% 3.00/3.36 % --preprocessed_out false
% 3.00/3.36 % --sub_typing false
% 3.00/3.36 % --brand_transform false
% 3.00/3.36 % --pure_diseq_elim true
% 3.00/3.36 % --min_unsat_core false
% 3.00/3.36 % --pred_elim true
% 3.00/3.36 % --add_important_lit false
% 3.00/3.36 % --soft_assumptions false
% 3.00/3.36 % --reset_solvers false
% 3.00/3.36 % --bc_imp_inh []
% 3.00/3.36 % --conj_cone_tolerance 1.5
% 3.00/3.36 % --prolific_symb_bound 500
% 3.00/3.36 % --lt_threshold 2000
% 3.00/3.36
% 3.00/3.36 % ------ SAT Options
% 3.00/3.36
% 3.00/3.36 % --sat_mode false
% 3.00/3.36 % --sat_fm_restart_options ""
% 3.00/3.36 % --sat_gr_def false
% 3.00/3.36 % --sat_epr_types true
% 3.00/3.36 % --sat_non_cyclic_types false
% 3.00/3.36 % --sat_finite_models false
% 3.00/3.36 % --sat_fm_lemmas false
% 3.00/3.36 % --sat_fm_prep false
% 3.00/3.36 % --sat_fm_uc_incr true
% 3.00/3.36 % --sat_out_model small
% 3.00/3.36 % --sat_out_clauses false
% 3.00/3.36
% 3.00/3.36 % ------ QBF Options
% 3.00/3.36
% 3.00/3.36 % --qbf_mode false
% 3.00/3.36 % --qbf_elim_univ true
% 3.00/3.36 % --qbf_sk_in true
% 3.00/3.36 % --qbf_pred_elim true
% 3.00/3.36 % --qbf_split 32
% 3.00/3.36
% 3.00/3.36 % ------ BMC1 Options
% 3.00/3.36
% 3.00/3.36 % --bmc1_incremental false
% 3.00/3.36 % --bmc1_axioms reachable_all
% 3.00/3.36 % --bmc1_min_bound 0
% 3.00/3.36 % --bmc1_max_bound -1
% 3.00/3.36 % --bmc1_max_bound_default -1
% 3.00/3.36 % --bmc1_symbol_reachability true
% 3.00/3.36 % --bmc1_property_lemmas false
% 3.00/3.36 % --bmc1_k_induction false
% 3.00/3.36 % --bmc1_non_equiv_states false
% 3.00/3.36 % --bmc1_deadlock false
% 3.00/3.36 % --bmc1_ucm false
% 3.00/3.36 % --bmc1_add_unsat_core none
% 3.00/3.36 % --bmc1_unsat_core_children false
% 3.00/3.36 % --bmc1_unsat_core_extrapolate_axioms false
% 3.00/3.36 % --bmc1_out_stat full
% 3.00/3.36 % --bmc1_ground_init false
% 3.00/3.36 % --bmc1_pre_inst_next_state false
% 3.00/3.36 % --bmc1_pre_inst_state false
% 3.00/3.36 % --bmc1_pre_inst_reach_state false
% 3.00/3.36 % --bmc1_out_unsat_core false
% 3.00/3.36 % --bmc1_aig_witness_out false
% 3.00/3.36 % --bmc1_verbose false
% 3.00/3.36 % --bmc1_dump_clauses_tptp false
% 4.83/5.25 % --bmc1_dump_unsat_core_tptp false
% 4.83/5.25 % --bmc1_dump_file -
% 4.83/5.25 % --bmc1_ucm_expand_uc_limit 128
% 4.83/5.25 % --bmc1_ucm_n_expand_iterations 6
% 4.83/5.25 % --bmc1_ucm_extend_mode 1
% 4.83/5.25 % --bmc1_ucm_init_mode 2
% 4.83/5.25 % --bmc1_ucm_cone_mode none
% 4.83/5.25 % --bmc1_ucm_reduced_relation_type 0
% 4.83/5.25 % --bmc1_ucm_relax_model 4
% 4.83/5.25 % --bmc1_ucm_full_tr_after_sat true
% 4.83/5.25 % --bmc1_ucm_expand_neg_assumptions false
% 4.83/5.25 % --bmc1_ucm_layered_model none
% 4.83/5.25 % --bmc1_ucm_max_lemma_size 10
% 4.83/5.25
% 4.83/5.25 % ------ AIG Options
% 4.83/5.25
% 4.83/5.25 % --aig_mode false
% 4.83/5.25
% 4.83/5.25 % ------ Instantiation Options
% 4.83/5.25
% 4.83/5.25 % --instantiation_flag true
% 4.83/5.25 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.83/5.25 % --inst_solver_per_active 750
% 4.83/5.25 % --inst_solver_calls_frac 0.5
% 4.83/5.25 % --inst_passive_queue_type priority_queues
% 4.83/5.25 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.83/5.25 % --inst_passive_queues_freq [25;2]
% 4.83/5.25 % --inst_dismatching true
% 4.83/5.25 % --inst_eager_unprocessed_to_passive true
% 4.83/5.25 % --inst_prop_sim_given true
% 4.83/5.25 % --inst_prop_sim_new false
% 4.83/5.25 % --inst_orphan_elimination true
% 4.83/5.25 % --inst_learning_loop_flag true
% 4.83/5.25 % --inst_learning_start 3000
% 4.83/5.25 % --inst_learning_factor 2
% 4.83/5.25 % --inst_start_prop_sim_after_learn 3
% 4.83/5.25 % --inst_sel_renew solver
% 4.83/5.25 % --inst_lit_activity_flag true
% 4.83/5.25 % --inst_out_proof true
% 4.83/5.25
% 4.83/5.25 % ------ Resolution Options
% 4.83/5.25
% 4.83/5.25 % --resolution_flag true
% 4.83/5.25 % --res_lit_sel kbo_max
% 4.83/5.25 % --res_to_prop_solver none
% 4.83/5.25 % --res_prop_simpl_new false
% 4.83/5.25 % --res_prop_simpl_given false
% 4.83/5.25 % --res_passive_queue_type priority_queues
% 4.83/5.25 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.83/5.25 % --res_passive_queues_freq [15;5]
% 4.83/5.25 % --res_forward_subs full
% 4.83/5.25 % --res_backward_subs full
% 4.83/5.25 % --res_forward_subs_resolution true
% 4.83/5.25 % --res_backward_subs_resolution true
% 4.83/5.25 % --res_orphan_elimination false
% 4.83/5.25 % --res_time_limit 1000.
% 4.83/5.25 % --res_out_proof true
% 4.83/5.25 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_75eb29.s
% 4.83/5.25 % --modulo true
% 4.83/5.25
% 4.83/5.25 % ------ Combination Options
% 4.83/5.25
% 4.83/5.25 % --comb_res_mult 1000
% 4.83/5.25 % --comb_inst_mult 300
% 4.83/5.25 % ------
% 4.83/5.25
% 4.83/5.25 % ------ Parsing...% successful
% 4.83/5.25
% 4.83/5.25 % ------ 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 %
% 4.83/5.25
% 4.83/5.25 % ------ Proving...
% 4.83/5.25 % ------ Problem Properties
% 4.83/5.25
% 4.83/5.25 %
% 4.83/5.25 % EPR false
% 4.83/5.25 % Horn false
% 4.83/5.25 % Has equality true
% 4.83/5.25
% 4.83/5.25 % % ------ Input Options Time Limit: Unbounded
% 4.83/5.25
% 4.83/5.25
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 Compiling...
% 4.83/5.25 Loading plugin: done.
% 4.83/5.25 % % ------ Current options:
% 4.83/5.25
% 4.83/5.25 % ------ Input Options
% 4.83/5.25
% 4.83/5.25 % --out_options all
% 4.83/5.25 % --tptp_safe_out true
% 4.83/5.25 % --problem_path ""
% 4.83/5.25 % --include_path ""
% 4.83/5.25 % --clausifier .//eprover
% 4.83/5.25 % --clausifier_options --tstp-format
% 4.83/5.25 % --stdin false
% 4.83/5.25 % --dbg_backtrace false
% 4.83/5.25 % --dbg_dump_prop_clauses false
% 4.83/5.25 % --dbg_dump_prop_clauses_file -
% 4.83/5.25 % --dbg_out_stat false
% 4.83/5.25
% 4.83/5.25 % ------ General Options
% 4.83/5.25
% 4.83/5.25 % --fof false
% 4.83/5.25 % --time_out_real 150.
% 4.83/5.25 % --time_out_prep_mult 0.2
% 4.83/5.25 % --time_out_virtual -1.
% 4.83/5.25 % --schedule none
% 4.83/5.25 % --ground_splitting input
% 4.83/5.25 % --splitting_nvd 16
% 4.83/5.25 % --non_eq_to_eq false
% 4.83/5.25 % --prep_gs_sim true
% 4.83/5.25 % --prep_unflatten false
% 4.83/5.25 % --prep_res_sim true
% 4.83/5.25 % --prep_upred true
% 4.83/5.25 % --res_sim_input true
% 4.83/5.25 % --clause_weak_htbl true
% 4.83/5.25 % --gc_record_bc_elim false
% 4.83/5.25 % --symbol_type_check false
% 4.83/5.25 % --clausify_out false
% 4.83/5.25 % --large_theory_mode false
% 4.83/5.25 % --prep_sem_filter none
% 4.83/5.25 % --prep_sem_filter_out false
% 4.83/5.25 % --preprocessed_out false
% 4.83/5.25 % --sub_typing false
% 4.83/5.25 % --brand_transform false
% 4.83/5.25 % --pure_diseq_elim true
% 4.83/5.25 % --min_unsat_core false
% 4.83/5.25 % --pred_elim true
% 4.83/5.25 % --add_important_lit false
% 4.83/5.25 % --soft_assumptions false
% 4.83/5.25 % --reset_solvers false
% 4.83/5.25 % --bc_imp_inh []
% 4.83/5.25 % --conj_cone_tolerance 1.5
% 4.83/5.25 % --prolific_symb_bound 500
% 4.83/5.25 % --lt_threshold 2000
% 4.83/5.25
% 4.83/5.25 % ------ SAT Options
% 4.83/5.25
% 4.83/5.25 % --sat_mode false
% 4.83/5.25 % --sat_fm_restart_options ""
% 4.83/5.25 % --sat_gr_def false
% 4.83/5.25 % --sat_epr_types true
% 4.83/5.25 % --sat_non_cyclic_types false
% 4.83/5.25 % --sat_finite_models false
% 4.83/5.25 % --sat_fm_lemmas false
% 4.83/5.25 % --sat_fm_prep false
% 4.83/5.25 % --sat_fm_uc_incr true
% 4.83/5.25 % --sat_out_model small
% 4.83/5.25 % --sat_out_clauses false
% 4.83/5.25
% 4.83/5.25 % ------ QBF Options
% 4.83/5.25
% 4.83/5.25 % --qbf_mode false
% 4.83/5.25 % --qbf_elim_univ true
% 4.83/5.25 % --qbf_sk_in true
% 4.83/5.25 % --qbf_pred_elim true
% 4.83/5.25 % --qbf_split 32
% 4.83/5.25
% 4.83/5.25 % ------ BMC1 Options
% 4.83/5.25
% 4.83/5.25 % --bmc1_incremental false
% 4.83/5.25 % --bmc1_axioms reachable_all
% 4.83/5.25 % --bmc1_min_bound 0
% 4.83/5.25 % --bmc1_max_bound -1
% 4.83/5.25 % --bmc1_max_bound_default -1
% 4.83/5.25 % --bmc1_symbol_reachability true
% 4.83/5.25 % --bmc1_property_lemmas false
% 4.83/5.25 % --bmc1_k_induction false
% 4.83/5.25 % --bmc1_non_equiv_states false
% 4.83/5.25 % --bmc1_deadlock false
% 4.83/5.25 % --bmc1_ucm false
% 4.83/5.25 % --bmc1_add_unsat_core none
% 4.83/5.25 % --bmc1_unsat_core_children false
% 4.83/5.25 % --bmc1_unsat_core_extrapolate_axioms false
% 4.83/5.25 % --bmc1_out_stat full
% 4.83/5.25 % --bmc1_ground_init false
% 4.83/5.25 % --bmc1_pre_inst_next_state false
% 4.83/5.25 % --bmc1_pre_inst_state false
% 4.83/5.25 % --bmc1_pre_inst_reach_state false
% 4.83/5.25 % --bmc1_out_unsat_core false
% 4.83/5.25 % --bmc1_aig_witness_out false
% 4.83/5.25 % --bmc1_verbose false
% 4.83/5.25 % --bmc1_dump_clauses_tptp false
% 4.83/5.25 % --bmc1_dump_unsat_core_tptp false
% 4.83/5.25 % --bmc1_dump_file -
% 4.83/5.25 % --bmc1_ucm_expand_uc_limit 128
% 4.83/5.25 % --bmc1_ucm_n_expand_iterations 6
% 4.83/5.25 % --bmc1_ucm_extend_mode 1
% 4.83/5.25 % --bmc1_ucm_init_mode 2
% 4.83/5.25 % --bmc1_ucm_cone_mode none
% 4.83/5.25 % --bmc1_ucm_reduced_relation_type 0
% 4.83/5.25 % --bmc1_ucm_relax_model 4
% 4.83/5.25 % --bmc1_ucm_full_tr_after_sat true
% 4.83/5.25 % --bmc1_ucm_expand_neg_assumptions false
% 4.83/5.25 % --bmc1_ucm_layered_model none
% 4.83/5.25 % --bmc1_ucm_max_lemma_size 10
% 4.83/5.25
% 4.83/5.25 % ------ AIG Options
% 4.83/5.25
% 4.83/5.25 % --aig_mode false
% 4.83/5.25
% 4.83/5.25 % ------ Instantiation Options
% 4.83/5.25
% 4.83/5.25 % --instantiation_flag true
% 4.83/5.25 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.10/153.36 % --inst_solver_per_active 750
% 153.10/153.36 % --inst_solver_calls_frac 0.5
% 153.10/153.36 % --inst_passive_queue_type priority_queues
% 153.10/153.36 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.10/153.36 % --inst_passive_queues_freq [25;2]
% 153.10/153.36 % --inst_dismatching true
% 153.10/153.36 % --inst_eager_unprocessed_to_passive true
% 153.10/153.36 % --inst_prop_sim_given true
% 153.10/153.36 % --inst_prop_sim_new false
% 153.10/153.36 % --inst_orphan_elimination true
% 153.10/153.36 % --inst_learning_loop_flag true
% 153.10/153.36 % --inst_learning_start 3000
% 153.10/153.36 % --inst_learning_factor 2
% 153.10/153.36 % --inst_start_prop_sim_after_learn 3
% 153.10/153.36 % --inst_sel_renew solver
% 153.10/153.36 % --inst_lit_activity_flag true
% 153.10/153.36 % --inst_out_proof true
% 153.10/153.36
% 153.10/153.36 % ------ Resolution Options
% 153.10/153.36
% 153.10/153.36 % --resolution_flag true
% 153.10/153.36 % --res_lit_sel kbo_max
% 153.10/153.36 % --res_to_prop_solver none
% 153.10/153.36 % --res_prop_simpl_new false
% 153.10/153.36 % --res_prop_simpl_given false
% 153.10/153.36 % --res_passive_queue_type priority_queues
% 153.10/153.36 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.10/153.36 % --res_passive_queues_freq [15;5]
% 153.10/153.36 % --res_forward_subs full
% 153.10/153.36 % --res_backward_subs full
% 153.10/153.36 % --res_forward_subs_resolution true
% 153.10/153.36 % --res_backward_subs_resolution true
% 153.10/153.36 % --res_orphan_elimination false
% 153.10/153.36 % --res_time_limit 1000.
% 153.10/153.36 % --res_out_proof true
% 153.10/153.36 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_75eb29.s
% 153.10/153.36 % --modulo true
% 153.10/153.36
% 153.10/153.36 % ------ Combination Options
% 153.10/153.36
% 153.10/153.36 % --comb_res_mult 1000
% 153.10/153.36 % --comb_inst_mult 300
% 153.10/153.36 % ------
% 153.10/153.36
% 153.10/153.36
% 153.10/153.36
% 153.10/153.36 % ------ Proving...
% 153.10/153.36 %
% 153.10/153.36
% 153.10/153.36
% 153.10/153.36 % Time Out Real
% 153.10/153.36
% 153.10/153.36 % ------ Statistics
% 153.10/153.36
% 153.10/153.36 % ------ General
% 153.10/153.36
% 153.10/153.36 % num_of_input_clauses: 1891
% 153.10/153.36 % num_of_input_neg_conjectures: 3
% 153.10/153.36 % num_of_splits: 0
% 153.10/153.36 % num_of_split_atoms: 0
% 153.10/153.36 % num_of_sem_filtered_clauses: 0
% 153.10/153.36 % num_of_subtypes: 0
% 153.10/153.36 % monotx_restored_types: 0
% 153.10/153.36 % sat_num_of_epr_types: 0
% 153.10/153.36 % sat_num_of_non_cyclic_types: 0
% 153.10/153.36 % sat_guarded_non_collapsed_types: 0
% 153.10/153.36 % is_epr: 0
% 153.10/153.36 % is_horn: 0
% 153.10/153.36 % has_eq: 1
% 153.10/153.36 % num_pure_diseq_elim: 0
% 153.10/153.36 % simp_replaced_by: 3
% 153.10/153.36 % res_preprocessed: 6
% 153.10/153.36 % prep_upred: 0
% 153.10/153.36 % prep_unflattend: 0
% 153.10/153.36 % pred_elim_cands: 0
% 153.10/153.36 % pred_elim: 0
% 153.10/153.36 % pred_elim_cl: 0
% 153.10/153.36 % pred_elim_cycles: 0
% 153.10/153.36 % forced_gc_time: 0
% 153.10/153.36 % gc_basic_clause_elim: 0
% 153.10/153.36 % parsing_time: 0.1
% 153.10/153.36 % sem_filter_time: 0.
% 153.10/153.36 % pred_elim_time: 0.
% 153.10/153.36 % out_proof_time: 0.
% 153.10/153.36 % monotx_time: 0.
% 153.10/153.36 % subtype_inf_time: 0.
% 153.10/153.36 % unif_index_cands_time: 0.202
% 153.10/153.36 % unif_index_add_time: 0.334
% 153.10/153.36 % total_time: 150.016
% 153.10/153.36 % num_of_symbols: 106
% 153.10/153.36 % num_of_terms: 1252168
% 153.10/153.36
% 153.10/153.36 % ------ Propositional Solver
% 153.10/153.36
% 153.10/153.36 % prop_solver_calls: 45
% 153.10/153.36 % prop_fast_solver_calls: 9
% 153.10/153.36 % prop_num_of_clauses: 306480
% 153.10/153.36 % prop_preprocess_simplified: 775685
% 153.10/153.36 % prop_fo_subsumed: 0
% 153.10/153.36 % prop_solver_time: 0.217
% 153.10/153.36 % prop_fast_solver_time: 0.
% 153.10/153.36 % prop_unsat_core_time: 0.
% 153.10/153.36
% 153.10/153.36 % ------ QBF
% 153.10/153.36
% 153.10/153.36 % qbf_q_res: 0
% 153.10/153.36 % qbf_num_tautologies: 0
% 153.10/153.36 % qbf_prep_cycles: 0
% 153.10/153.36
% 153.10/153.36 % ------ BMC1
% 153.10/153.36
% 153.10/153.36 % bmc1_current_bound: -1
% 153.10/153.37 % bmc1_last_solved_bound: -1
% 153.10/153.37 % bmc1_unsat_core_size: -1
% 153.10/153.37 % bmc1_unsat_core_parents_size: -1
% 153.10/153.37 % bmc1_merge_next_fun: 0
% 153.10/153.37 % bmc1_unsat_core_clauses_time: 0.
% 153.10/153.37
% 153.10/153.37 % ------ Instantiation
% 153.10/153.37
% 153.10/153.37 % inst_num_of_clauses: 169956
% 153.10/153.37 % inst_num_in_passive: 155385
% 153.10/153.37 % inst_num_in_active: 7922
% 153.10/153.37 % inst_num_in_unprocessed: 6638
% 153.10/153.37 % inst_num_of_loops: 9473
% 153.10/153.37 % inst_num_of_learning_restarts: 2
% 153.10/153.37 % inst_num_moves_active_passive: 1540
% 153.10/153.37 % inst_lit_activity: 155957
% 153.10/153.37 % inst_lit_activity_moves: 1
% 153.10/153.37 % inst_num_tautologies: 9
% 153.10/153.37 % inst_num_prop_implied: 0
% 153.10/153.37 % inst_num_existing_simplified: 0
% 153.10/153.37 % inst_num_eq_res_simplified: 0
% 153.10/153.37 % inst_num_child_elim: 0
% 153.10/153.37 % inst_num_of_dismatching_blockings: 33645
% 153.10/153.37 % inst_num_of_non_proper_insts: 72189
% 153.10/153.37 % inst_num_of_duplicates: 416248
% 153.10/153.37 % inst_inst_num_from_inst_to_res: 0
% 153.10/153.37 % inst_dismatching_checking_time: 83.705
% 153.10/153.37
% 153.10/153.37 % ------ Resolution
% 153.10/153.37
% 153.10/153.37 % res_num_of_clauses: 125881
% 153.10/153.37 % res_num_in_passive: 62001
% 153.10/153.37 % res_num_in_active: 62669
% 153.10/153.37 % res_num_of_loops: 62000
% 153.10/153.37 % res_forward_subset_subsumed: 1175
% 153.10/153.37 % res_backward_subset_subsumed: 0
% 153.10/153.37 % res_forward_subsumed: 0
% 153.10/153.37 % res_backward_subsumed: 0
% 153.10/153.37 % res_forward_subsumption_resolution: 0
% 153.10/153.37 % res_backward_subsumption_resolution: 0
% 153.10/153.37 % res_clause_to_clause_subsumption: 0
% 153.10/153.37 % res_orphan_elimination: 0
% 153.10/153.37 % res_tautology_del: 0
% 153.10/153.37 % res_num_eq_res_simplified: 0
% 153.10/153.37 % res_num_sel_changes: 0
% 153.10/153.37 % res_moves_from_active_to_pass: 0
% 153.10/153.37
% 153.10/153.37 % Status Unknown
% 153.10/153.37 % Last status :
% 153.10/153.37 % SZS status Unknown
%------------------------------------------------------------------------------