TSTP Solution File: SWV253-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV253-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:09:26 EDT 2022
% Result : Unknown 169.84s 170.16s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV253-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 06:26:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.60/0.77 % Orienting using strategy Equiv(ClausalAll)
% 0.60/0.77 % Orientation found
% 0.60/0.77 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_208172.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_612923.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_af1c6f | grep -v "SZS"
% 0.60/0.79
% 0.60/0.79 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.60/0.79
% 0.60/0.79 %
% 0.60/0.79 % ------ iProver source info
% 0.60/0.79
% 0.60/0.79 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.60/0.79 % git: non_committed_changes: true
% 0.60/0.79 % git: last_make_outside_of_git: true
% 0.60/0.79
% 0.60/0.79 %
% 0.60/0.79 % ------ Input Options
% 0.60/0.79
% 0.60/0.79 % --out_options all
% 0.60/0.79 % --tptp_safe_out true
% 0.60/0.79 % --problem_path ""
% 0.60/0.79 % --include_path ""
% 0.60/0.79 % --clausifier .//eprover
% 0.60/0.79 % --clausifier_options --tstp-format
% 0.60/0.79 % --stdin false
% 0.60/0.79 % --dbg_backtrace false
% 0.60/0.79 % --dbg_dump_prop_clauses false
% 0.60/0.79 % --dbg_dump_prop_clauses_file -
% 0.60/0.79 % --dbg_out_stat false
% 0.60/0.79
% 0.60/0.79 % ------ General Options
% 0.60/0.79
% 0.60/0.79 % --fof false
% 0.60/0.79 % --time_out_real 150.
% 0.60/0.79 % --time_out_prep_mult 0.2
% 0.60/0.79 % --time_out_virtual -1.
% 0.60/0.79 % --schedule none
% 0.60/0.79 % --ground_splitting input
% 0.60/0.79 % --splitting_nvd 16
% 0.60/0.79 % --non_eq_to_eq false
% 0.60/0.79 % --prep_gs_sim true
% 0.60/0.79 % --prep_unflatten false
% 0.60/0.79 % --prep_res_sim true
% 0.60/0.79 % --prep_upred true
% 0.60/0.79 % --res_sim_input true
% 0.60/0.79 % --clause_weak_htbl true
% 0.60/0.79 % --gc_record_bc_elim false
% 0.60/0.79 % --symbol_type_check false
% 0.60/0.79 % --clausify_out false
% 0.60/0.79 % --large_theory_mode false
% 0.60/0.79 % --prep_sem_filter none
% 0.60/0.79 % --prep_sem_filter_out false
% 0.60/0.79 % --preprocessed_out false
% 0.60/0.79 % --sub_typing false
% 0.60/0.79 % --brand_transform false
% 0.60/0.79 % --pure_diseq_elim true
% 0.60/0.79 % --min_unsat_core false
% 0.60/0.79 % --pred_elim true
% 0.60/0.79 % --add_important_lit false
% 0.60/0.79 % --soft_assumptions false
% 0.60/0.79 % --reset_solvers false
% 0.60/0.79 % --bc_imp_inh []
% 0.60/0.79 % --conj_cone_tolerance 1.5
% 0.60/0.79 % --prolific_symb_bound 500
% 0.60/0.79 % --lt_threshold 2000
% 0.60/0.79
% 0.60/0.79 % ------ SAT Options
% 0.60/0.79
% 0.60/0.79 % --sat_mode false
% 0.60/0.79 % --sat_fm_restart_options ""
% 0.60/0.79 % --sat_gr_def false
% 0.60/0.79 % --sat_epr_types true
% 0.60/0.79 % --sat_non_cyclic_types false
% 0.60/0.79 % --sat_finite_models false
% 0.60/0.79 % --sat_fm_lemmas false
% 0.60/0.79 % --sat_fm_prep false
% 0.60/0.79 % --sat_fm_uc_incr true
% 0.60/0.79 % --sat_out_model small
% 0.60/0.79 % --sat_out_clauses false
% 0.60/0.79
% 0.60/0.79 % ------ QBF Options
% 0.60/0.79
% 0.60/0.79 % --qbf_mode false
% 0.60/0.79 % --qbf_elim_univ true
% 0.60/0.79 % --qbf_sk_in true
% 0.60/0.79 % --qbf_pred_elim true
% 0.60/0.79 % --qbf_split 32
% 0.60/0.79
% 0.60/0.79 % ------ BMC1 Options
% 0.60/0.79
% 0.60/0.79 % --bmc1_incremental false
% 0.60/0.79 % --bmc1_axioms reachable_all
% 0.60/0.79 % --bmc1_min_bound 0
% 0.60/0.79 % --bmc1_max_bound -1
% 0.60/0.79 % --bmc1_max_bound_default -1
% 0.60/0.79 % --bmc1_symbol_reachability true
% 0.60/0.79 % --bmc1_property_lemmas false
% 0.60/0.79 % --bmc1_k_induction false
% 0.60/0.79 % --bmc1_non_equiv_states false
% 0.60/0.79 % --bmc1_deadlock false
% 0.60/0.79 % --bmc1_ucm false
% 0.60/0.79 % --bmc1_add_unsat_core none
% 0.60/0.79 % --bmc1_unsat_core_children false
% 0.60/0.79 % --bmc1_unsat_core_extrapolate_axioms false
% 0.60/0.79 % --bmc1_out_stat full
% 0.60/0.79 % --bmc1_ground_init false
% 0.60/0.79 % --bmc1_pre_inst_next_state false
% 0.60/0.79 % --bmc1_pre_inst_state false
% 0.60/0.79 % --bmc1_pre_inst_reach_state false
% 0.60/0.79 % --bmc1_out_unsat_core false
% 0.60/0.79 % --bmc1_aig_witness_out false
% 0.60/0.79 % --bmc1_verbose false
% 0.60/0.79 % --bmc1_dump_clauses_tptp false
% 7.31/7.66 % --bmc1_dump_unsat_core_tptp false
% 7.31/7.66 % --bmc1_dump_file -
% 7.31/7.66 % --bmc1_ucm_expand_uc_limit 128
% 7.31/7.66 % --bmc1_ucm_n_expand_iterations 6
% 7.31/7.66 % --bmc1_ucm_extend_mode 1
% 7.31/7.66 % --bmc1_ucm_init_mode 2
% 7.31/7.66 % --bmc1_ucm_cone_mode none
% 7.31/7.66 % --bmc1_ucm_reduced_relation_type 0
% 7.31/7.66 % --bmc1_ucm_relax_model 4
% 7.31/7.66 % --bmc1_ucm_full_tr_after_sat true
% 7.31/7.66 % --bmc1_ucm_expand_neg_assumptions false
% 7.31/7.66 % --bmc1_ucm_layered_model none
% 7.31/7.66 % --bmc1_ucm_max_lemma_size 10
% 7.31/7.66
% 7.31/7.66 % ------ AIG Options
% 7.31/7.66
% 7.31/7.66 % --aig_mode false
% 7.31/7.66
% 7.31/7.66 % ------ Instantiation Options
% 7.31/7.66
% 7.31/7.66 % --instantiation_flag true
% 7.31/7.66 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 7.31/7.66 % --inst_solver_per_active 750
% 7.31/7.66 % --inst_solver_calls_frac 0.5
% 7.31/7.66 % --inst_passive_queue_type priority_queues
% 7.31/7.66 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.31/7.66 % --inst_passive_queues_freq [25;2]
% 7.31/7.66 % --inst_dismatching true
% 7.31/7.66 % --inst_eager_unprocessed_to_passive true
% 7.31/7.66 % --inst_prop_sim_given true
% 7.31/7.66 % --inst_prop_sim_new false
% 7.31/7.66 % --inst_orphan_elimination true
% 7.31/7.66 % --inst_learning_loop_flag true
% 7.31/7.66 % --inst_learning_start 3000
% 7.31/7.66 % --inst_learning_factor 2
% 7.31/7.66 % --inst_start_prop_sim_after_learn 3
% 7.31/7.66 % --inst_sel_renew solver
% 7.31/7.66 % --inst_lit_activity_flag true
% 7.31/7.66 % --inst_out_proof true
% 7.31/7.66
% 7.31/7.66 % ------ Resolution Options
% 7.31/7.66
% 7.31/7.66 % --resolution_flag true
% 7.31/7.66 % --res_lit_sel kbo_max
% 7.31/7.66 % --res_to_prop_solver none
% 7.31/7.66 % --res_prop_simpl_new false
% 7.31/7.66 % --res_prop_simpl_given false
% 7.31/7.66 % --res_passive_queue_type priority_queues
% 7.31/7.66 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.31/7.66 % --res_passive_queues_freq [15;5]
% 7.31/7.66 % --res_forward_subs full
% 7.31/7.66 % --res_backward_subs full
% 7.31/7.66 % --res_forward_subs_resolution true
% 7.31/7.66 % --res_backward_subs_resolution true
% 7.31/7.66 % --res_orphan_elimination false
% 7.31/7.66 % --res_time_limit 1000.
% 7.31/7.66 % --res_out_proof true
% 7.31/7.66 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_208172.s
% 7.31/7.66 % --modulo true
% 7.31/7.66
% 7.31/7.66 % ------ Combination Options
% 7.31/7.66
% 7.31/7.66 % --comb_res_mult 1000
% 7.31/7.66 % --comb_inst_mult 300
% 7.31/7.66 % ------
% 7.31/7.66
% 7.31/7.66 % ------ Parsing...% successful
% 7.31/7.66
% 7.31/7.66 % ------ 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 %
% 7.31/7.66
% 7.31/7.66 % ------ Proving...
% 7.31/7.66 % ------ Problem Properties
% 7.31/7.66
% 7.31/7.66 %
% 7.31/7.66 % EPR false
% 7.31/7.66 % Horn false
% 7.31/7.66 % Has equality true
% 7.31/7.66
% 7.31/7.66 % % ------ Input Options Time Limit: Unbounded
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% 23.42/23.76 % % ------ Current options:
% 23.42/23.76
% 23.42/23.76 % ------ Input Options
% 23.42/23.76
% 23.42/23.76 % --out_options all
% 23.42/23.76 % --tptp_safe_out true
% 23.42/23.76 % --problem_path ""
% 23.42/23.76 % --include_path ""
% 23.42/23.76 % --clausifier .//eprover
% 23.42/23.76 % --clausifier_options --tstp-format
% 23.42/23.76 % --stdin false
% 23.42/23.76 % --dbg_backtrace false
% 23.42/23.77 % --dbg_dump_prop_clauses false
% 23.42/23.77 % --dbg_dump_prop_clauses_file -
% 23.42/23.77 % --dbg_out_stat false
% 23.42/23.77
% 23.42/23.77 % ------ General Options
% 23.42/23.77
% 23.42/23.77 % --fof false
% 23.42/23.77 % --time_out_real 150.
% 23.42/23.77 % --time_out_prep_mult 0.2
% 23.42/23.77 % --time_out_virtual -1.
% 23.42/23.77 % --schedule none
% 23.42/23.77 % --ground_splitting input
% 23.42/23.77 % --splitting_nvd 16
% 23.42/23.77 % --non_eq_to_eq false
% 23.42/23.77 % --prep_gs_sim true
% 23.42/23.77 % --prep_unflatten false
% 23.42/23.77 % --prep_res_sim true
% 23.42/23.77 % --prep_upred true
% 23.42/23.77 % --res_sim_input true
% 23.42/23.77 % --clause_weak_htbl true
% 23.42/23.77 % --gc_record_bc_elim false
% 23.42/23.77 % --symbol_type_check false
% 23.42/23.77 % --clausify_out false
% 23.42/23.77 % --large_theory_mode false
% 23.42/23.77 % --prep_sem_filter none
% 23.42/23.77 % --prep_sem_filter_out false
% 23.42/23.77 % --preprocessed_out false
% 23.42/23.77 % --sub_typing false
% 23.42/23.77 % --brand_transform false
% 23.42/23.77 % --pure_diseq_elim true
% 23.42/23.77 % --min_unsat_core false
% 23.42/23.77 % --pred_elim true
% 23.42/23.77 % --add_important_lit false
% 23.42/23.77 % --soft_assumptions false
% 23.42/23.77 % --reset_solvers false
% 23.42/23.77 % --bc_imp_inh []
% 23.42/23.77 % --conj_cone_tolerance 1.5
% 23.42/23.77 % --prolific_symb_bound 500
% 23.42/23.77 % --lt_threshold 2000
% 23.42/23.77
% 23.42/23.77 % ------ SAT Options
% 23.42/23.77
% 23.42/23.77 % --sat_mode false
% 23.42/23.77 % --sat_fm_restart_options ""
% 23.42/23.77 % --sat_gr_def false
% 23.42/23.77 % --sat_epr_types true
% 23.42/23.77 % --sat_non_cyclic_types false
% 23.42/23.77 % --sat_finite_models false
% 23.42/23.77 % --sat_fm_lemmas false
% 23.42/23.77 % --sat_fm_prep false
% 23.42/23.77 % --sat_fm_uc_incr true
% 23.42/23.77 % --sat_out_model small
% 23.42/23.77 % --sat_out_clauses false
% 23.42/23.77
% 23.42/23.77 % ------ QBF Options
% 23.42/23.77
% 23.42/23.77 % --qbf_mode false
% 23.42/23.77 % --qbf_elim_univ true
% 23.42/23.77 % --qbf_sk_in true
% 23.42/23.77 % --qbf_pred_elim true
% 23.42/23.77 % --qbf_split 32
% 23.42/23.77
% 23.42/23.77 % ------ BMC1 Options
% 23.42/23.77
% 23.42/23.77 % --bmc1_incremental false
% 23.42/23.77 % --bmc1_axioms reachable_all
% 23.42/23.77 % --bmc1_min_bound 0
% 23.42/23.77 % --bmc1_max_bound -1
% 23.42/23.77 % --bmc1_max_bound_default -1
% 23.42/23.77 % --bmc1_symbol_reachability true
% 23.42/23.77 % --bmc1_property_lemmas false
% 23.42/23.77 % --bmc1_k_induction false
% 23.42/23.77 % --bmc1_non_equiv_states false
% 23.42/23.77 % --bmc1_deadlock false
% 23.42/23.77 % --bmc1_ucm false
% 23.42/23.77 % --bmc1_add_unsat_core none
% 23.42/23.77 % --bmc1_unsat_core_children false
% 23.42/23.77 % --bmc1_unsat_core_extrapolate_axioms false
% 150.42/150.79 % --bmc1_out_stat full
% 150.42/150.79 % --bmc1_ground_init false
% 150.42/150.79 % --bmc1_pre_inst_next_state false
% 150.42/150.79 % --bmc1_pre_inst_state false
% 150.42/150.79 % --bmc1_pre_inst_reach_state false
% 150.42/150.79 % --bmc1_out_unsat_core false
% 150.42/150.79 % --bmc1_aig_witness_out false
% 150.42/150.79 % --bmc1_verbose false
% 150.42/150.79 % --bmc1_dump_clauses_tptp false
% 150.42/150.79 % --bmc1_dump_unsat_core_tptp false
% 150.42/150.79 % --bmc1_dump_file -
% 150.42/150.79 % --bmc1_ucm_expand_uc_limit 128
% 150.42/150.79 % --bmc1_ucm_n_expand_iterations 6
% 150.42/150.79 % --bmc1_ucm_extend_mode 1
% 150.42/150.79 % --bmc1_ucm_init_mode 2
% 150.42/150.79 % --bmc1_ucm_cone_mode none
% 150.42/150.79 % --bmc1_ucm_reduced_relation_type 0
% 150.42/150.79 % --bmc1_ucm_relax_model 4
% 150.42/150.79 % --bmc1_ucm_full_tr_after_sat true
% 150.42/150.79 % --bmc1_ucm_expand_neg_assumptions false
% 150.42/150.79 % --bmc1_ucm_layered_model none
% 150.42/150.79 % --bmc1_ucm_max_lemma_size 10
% 150.42/150.79
% 150.42/150.79 % ------ AIG Options
% 150.42/150.79
% 150.42/150.79 % --aig_mode false
% 150.42/150.79
% 150.42/150.79 % ------ Instantiation Options
% 150.42/150.79
% 150.42/150.79 % --instantiation_flag true
% 150.42/150.79 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.42/150.79 % --inst_solver_per_active 750
% 150.42/150.79 % --inst_solver_calls_frac 0.5
% 150.42/150.79 % --inst_passive_queue_type priority_queues
% 150.42/150.79 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.42/150.79 % --inst_passive_queues_freq [25;2]
% 150.42/150.79 % --inst_dismatching true
% 150.42/150.79 % --inst_eager_unprocessed_to_passive true
% 150.42/150.79 % --inst_prop_sim_given true
% 150.42/150.79 % --inst_prop_sim_new false
% 150.42/150.79 % --inst_orphan_elimination true
% 150.42/150.79 % --inst_learning_loop_flag true
% 150.42/150.79 % --inst_learning_start 3000
% 150.42/150.79 % --inst_learning_factor 2
% 150.42/150.79 % --inst_start_prop_sim_after_learn 3
% 150.42/150.79 % --inst_sel_renew solver
% 150.42/150.79 % --inst_lit_activity_flag true
% 150.42/150.79 % --inst_out_proof true
% 150.42/150.79
% 150.42/150.79 % ------ Resolution Options
% 150.42/150.79
% 150.42/150.79 % --resolution_flag true
% 150.42/150.79 % --res_lit_sel kbo_max
% 150.42/150.79 % --res_to_prop_solver none
% 150.42/150.79 % --res_prop_simpl_new false
% 150.42/150.79 % --res_prop_simpl_given false
% 150.42/150.79 % --res_passive_queue_type priority_queues
% 150.42/150.79 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.42/150.79 % --res_passive_queues_freq [15;5]
% 150.42/150.79 % --res_forward_subs full
% 150.42/150.79 % --res_backward_subs full
% 150.42/150.79 % --res_forward_subs_resolution true
% 150.42/150.79 % --res_backward_subs_resolution true
% 150.42/150.79 % --res_orphan_elimination false
% 150.42/150.79 % --res_time_limit 1000.
% 150.42/150.79 % --res_out_proof true
% 150.42/150.79 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_208172.s
% 150.42/150.79 % --modulo true
% 150.42/150.79
% 150.42/150.79 % ------ Combination Options
% 150.42/150.79
% 150.42/150.79 % --comb_res_mult 1000
% 150.42/150.79 % --comb_inst_mult 300
% 150.42/150.79 % ------
% 150.42/150.79
% 150.42/150.79
% 150.42/150.79
% 150.42/150.79 % ------ Proving...
% 150.42/150.79 %
% 150.42/150.79
% 150.42/150.79
% 150.42/150.79 % Time Out Real
% 150.42/150.79
% 150.42/150.79 % ------ Statistics
% 150.42/150.79
% 150.42/150.79 % ------ General
% 150.42/150.79
% 150.42/150.79 % num_of_input_clauses: 6030
% 150.42/150.79 % num_of_input_neg_conjectures: 2
% 150.42/150.79 % num_of_splits: 0
% 150.42/150.79 % num_of_split_atoms: 0
% 150.42/150.79 % num_of_sem_filtered_clauses: 0
% 150.42/150.79 % num_of_subtypes: 0
% 150.42/150.79 % monotx_restored_types: 0
% 150.42/150.79 % sat_num_of_epr_types: 0
% 150.42/150.79 % sat_num_of_non_cyclic_types: 0
% 150.42/150.79 % sat_guarded_non_collapsed_types: 0
% 150.42/150.79 % is_epr: 0
% 150.42/150.79 % is_horn: 0
% 150.42/150.79 % has_eq: 1
% 150.42/150.79 % num_pure_diseq_elim: 0
% 150.42/150.79 % simp_replaced_by: 0
% 150.42/150.79 % res_preprocessed: 4
% 150.42/150.79 % prep_upred: 0
% 150.42/150.79 % prep_unflattend: 0
% 150.42/150.79 % pred_elim_cands: 0
% 150.42/150.79 % pred_elim: 0
% 150.42/150.79 % pred_elim_cl: 0
% 150.51/150.83 % pred_elim_cycles: 0
% 150.51/150.83 % forced_gc_time: 0
% 150.51/150.83 % gc_basic_clause_elim: 0
% 150.51/150.83 % parsing_time: 0.156
% 150.51/150.83 % sem_filter_time: 0.
% 150.51/150.83 % pred_elim_time: 0.
% 150.51/150.83 % out_proof_time: 0.
% 150.51/150.83 % monotx_time: 0.
% 150.51/150.83 % subtype_inf_time: 0.
% 150.51/150.83 % unif_index_cands_time: 0.141
% 150.51/150.83 % unif_index_add_time: 0.205
% 150.51/150.83 % total_time: 150.011
% 150.51/150.83 % num_of_symbols: 359
% 150.51/150.83 % num_of_terms: 8173454
% 150.51/150.83
% 150.51/150.83 % ------ Propositional Solver
% 150.51/150.83
% 150.51/150.83 % prop_solver_calls: 20
% 150.51/150.83 % prop_fast_solver_calls: 12
% 150.51/150.83 % prop_num_of_clauses: 95344
% 150.51/150.83 % prop_preprocess_simplified: 151589
% 150.51/150.83 % prop_fo_subsumed: 0
% 150.51/150.83 % prop_solver_time: 0.011
% 150.51/150.83 % prop_fast_solver_time: 0.
% 150.51/150.83 % prop_unsat_core_time: 0.
% 150.51/150.83
% 150.51/150.83 % ------ QBF
% 150.51/150.83
% 150.51/150.83 % qbf_q_res: 0
% 150.51/150.83 % qbf_num_tautologies: 0
% 150.51/150.83 % qbf_prep_cycles: 0
% 150.51/150.83
% 150.51/150.83 % ------ BMC1
% 150.51/150.83
% 150.51/150.83 % bmc1_current_bound: -1
% 150.51/150.83 % bmc1_last_solved_bound: -1
% 150.51/150.83 % bmc1_unsat_core_size: -1
% 150.51/150.83 % bmc1_unsat_core_parents_size: -1
% 150.51/150.83 % bmc1_merge_next_fun: 0
% 150.51/150.83 % bmc1_unsat_core_clauses_time: 0.
% 150.51/150.83
% 150.51/150.83 % ------ Instantiation
% 150.51/150.83
% 150.51/150.83 % inst_num_of_clauses: 7176
% 150.51/150.83 % inst_num_in_passive: 5395
% 150.51/150.83 % inst_num_in_active: 897
% 150.51/150.83 % inst_num_in_unprocessed: 884
% 150.51/150.83 % inst_num_of_loops: 898
% 150.51/150.83 % inst_num_of_learning_restarts: 2
% 150.51/150.83 % inst_num_moves_active_passive: 0
% 150.51/150.83 % inst_lit_activity: 942
% 150.51/150.83 % inst_lit_activity_moves: 0
% 150.51/150.83 % inst_num_tautologies: 0
% 150.51/150.83 % inst_num_prop_implied: 0
% 150.51/150.83 % inst_num_existing_simplified: 0
% 150.51/150.83 % inst_num_eq_res_simplified: 0
% 150.51/150.83 % inst_num_child_elim: 0
% 150.51/150.83 % inst_num_of_dismatching_blockings: 18
% 150.51/150.83 % inst_num_of_non_proper_insts: 455
% 150.51/150.83 % inst_num_of_duplicates: 1347
% 150.51/150.83 % inst_inst_num_from_inst_to_res: 0
% 150.51/150.83 % inst_dismatching_checking_time: 6.128
% 150.51/150.83
% 150.51/150.83 % ------ Resolution
% 150.51/150.83
% 150.51/150.83 % res_num_of_clauses: 1916749
% 150.51/150.83 % res_num_in_passive: 1880133
% 150.51/150.83 % res_num_in_active: 32690
% 150.51/150.83 % res_num_of_loops: 33573
% 150.51/150.83 % res_forward_subset_subsumed: 4576
% 150.51/150.83 % res_backward_subset_subsumed: 0
% 150.51/150.83 % res_forward_subsumed: 3258
% 150.51/150.83 % res_backward_subsumed: 2
% 150.51/150.83 % res_forward_subsumption_resolution: 0
% 150.51/150.83 % res_backward_subsumption_resolution: 0
% 150.51/150.83 % res_clause_to_clause_subsumption: 192665
% 150.51/150.83 % res_orphan_elimination: 0
% 150.51/150.83 % res_tautology_del: 47
% 150.51/150.83 % res_num_eq_res_simplified: 1
% 150.51/150.83 % res_num_sel_changes: 0
% 150.51/150.83 % res_moves_from_active_to_pass: 0
% 150.51/150.83
% 150.51/150.83 % Status Unknown
% 150.58/151.15 % Orienting using strategy ClausalAll
% 150.58/151.15 % Orientation found
% 150.58/151.15 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_208172.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_612923.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_eb9c68 | grep -v "SZS"
% 150.58/151.17
% 150.58/151.17 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.58/151.17
% 150.58/151.17 %
% 150.58/151.17 % ------ iProver source info
% 150.58/151.17
% 150.58/151.17 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.58/151.17 % git: non_committed_changes: true
% 150.58/151.17 % git: last_make_outside_of_git: true
% 150.58/151.17
% 150.58/151.17 %
% 150.58/151.17 % ------ Input Options
% 150.58/151.17
% 150.58/151.17 % --out_options all
% 150.58/151.17 % --tptp_safe_out true
% 150.58/151.17 % --problem_path ""
% 150.58/151.17 % --include_path ""
% 150.58/151.17 % --clausifier .//eprover
% 150.58/151.17 % --clausifier_options --tstp-format
% 150.58/151.17 % --stdin false
% 150.58/151.17 % --dbg_backtrace false
% 150.58/151.17 % --dbg_dump_prop_clauses false
% 150.58/151.17 % --dbg_dump_prop_clauses_file -
% 150.58/151.17 % --dbg_out_stat false
% 150.58/151.17
% 150.58/151.17 % ------ General Options
% 150.58/151.17
% 150.58/151.17 % --fof false
% 150.58/151.17 % --time_out_real 150.
% 150.58/151.17 % --time_out_prep_mult 0.2
% 150.58/151.17 % --time_out_virtual -1.
% 150.58/151.17 % --schedule none
% 150.58/151.17 % --ground_splitting input
% 150.58/151.17 % --splitting_nvd 16
% 150.58/151.17 % --non_eq_to_eq false
% 150.58/151.17 % --prep_gs_sim true
% 150.58/151.17 % --prep_unflatten false
% 150.58/151.17 % --prep_res_sim true
% 150.58/151.17 % --prep_upred true
% 150.58/151.17 % --res_sim_input true
% 150.58/151.17 % --clause_weak_htbl true
% 150.58/151.17 % --gc_record_bc_elim false
% 150.58/151.17 % --symbol_type_check false
% 150.58/151.17 % --clausify_out false
% 150.58/151.17 % --large_theory_mode false
% 150.58/151.17 % --prep_sem_filter none
% 150.58/151.17 % --prep_sem_filter_out false
% 150.58/151.17 % --preprocessed_out false
% 150.58/151.17 % --sub_typing false
% 150.58/151.17 % --brand_transform false
% 150.58/151.17 % --pure_diseq_elim true
% 150.58/151.17 % --min_unsat_core false
% 150.58/151.17 % --pred_elim true
% 150.58/151.17 % --add_important_lit false
% 150.58/151.17 % --soft_assumptions false
% 150.58/151.17 % --reset_solvers false
% 150.58/151.17 % --bc_imp_inh []
% 150.58/151.17 % --conj_cone_tolerance 1.5
% 150.58/151.17 % --prolific_symb_bound 500
% 150.58/151.17 % --lt_threshold 2000
% 150.58/151.17
% 150.58/151.17 % ------ SAT Options
% 150.58/151.17
% 150.58/151.17 % --sat_mode false
% 150.58/151.17 % --sat_fm_restart_options ""
% 150.58/151.17 % --sat_gr_def false
% 150.58/151.17 % --sat_epr_types true
% 150.58/151.17 % --sat_non_cyclic_types false
% 150.58/151.17 % --sat_finite_models false
% 150.58/151.17 % --sat_fm_lemmas false
% 150.58/151.17 % --sat_fm_prep false
% 150.58/151.17 % --sat_fm_uc_incr true
% 150.58/151.17 % --sat_out_model small
% 150.58/151.17 % --sat_out_clauses false
% 150.58/151.17
% 150.58/151.17 % ------ QBF Options
% 150.58/151.17
% 150.58/151.17 % --qbf_mode false
% 150.58/151.17 % --qbf_elim_univ true
% 150.58/151.17 % --qbf_sk_in true
% 150.58/151.17 % --qbf_pred_elim true
% 150.58/151.17 % --qbf_split 32
% 150.58/151.17
% 150.58/151.17 % ------ BMC1 Options
% 150.58/151.17
% 150.58/151.17 % --bmc1_incremental false
% 150.58/151.17 % --bmc1_axioms reachable_all
% 150.58/151.17 % --bmc1_min_bound 0
% 150.58/151.17 % --bmc1_max_bound -1
% 150.58/151.17 % --bmc1_max_bound_default -1
% 150.58/151.17 % --bmc1_symbol_reachability true
% 150.58/151.17 % --bmc1_property_lemmas false
% 150.58/151.17 % --bmc1_k_induction false
% 150.58/151.17 % --bmc1_non_equiv_states false
% 150.58/151.17 % --bmc1_deadlock false
% 150.58/151.17 % --bmc1_ucm false
% 150.58/151.17 % --bmc1_add_unsat_core none
% 150.58/151.17 % --bmc1_unsat_core_children false
% 150.58/151.17 % --bmc1_unsat_core_extrapolate_axioms false
% 150.58/151.17 % --bmc1_out_stat full
% 150.58/151.17 % --bmc1_ground_init false
% 150.58/151.17 % --bmc1_pre_inst_next_state false
% 150.58/151.17 % --bmc1_pre_inst_state false
% 150.58/151.17 % --bmc1_pre_inst_reach_state false
% 150.58/151.17 % --bmc1_out_unsat_core false
% 150.58/151.17 % --bmc1_aig_witness_out false
% 150.58/151.17 % --bmc1_verbose false
% 150.58/151.17 % --bmc1_dump_clauses_tptp false
% 160.90/161.21 % --bmc1_dump_unsat_core_tptp false
% 160.90/161.21 % --bmc1_dump_file -
% 160.90/161.21 % --bmc1_ucm_expand_uc_limit 128
% 160.90/161.21 % --bmc1_ucm_n_expand_iterations 6
% 160.90/161.21 % --bmc1_ucm_extend_mode 1
% 160.90/161.21 % --bmc1_ucm_init_mode 2
% 160.90/161.21 % --bmc1_ucm_cone_mode none
% 160.90/161.21 % --bmc1_ucm_reduced_relation_type 0
% 160.90/161.21 % --bmc1_ucm_relax_model 4
% 160.90/161.21 % --bmc1_ucm_full_tr_after_sat true
% 160.90/161.21 % --bmc1_ucm_expand_neg_assumptions false
% 160.90/161.21 % --bmc1_ucm_layered_model none
% 160.90/161.21 % --bmc1_ucm_max_lemma_size 10
% 160.90/161.21
% 160.90/161.21 % ------ AIG Options
% 160.90/161.21
% 160.90/161.21 % --aig_mode false
% 160.90/161.21
% 160.90/161.21 % ------ Instantiation Options
% 160.90/161.21
% 160.90/161.21 % --instantiation_flag true
% 160.90/161.21 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 160.90/161.21 % --inst_solver_per_active 750
% 160.90/161.21 % --inst_solver_calls_frac 0.5
% 160.90/161.21 % --inst_passive_queue_type priority_queues
% 160.90/161.21 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 160.90/161.21 % --inst_passive_queues_freq [25;2]
% 160.90/161.21 % --inst_dismatching true
% 160.90/161.21 % --inst_eager_unprocessed_to_passive true
% 160.90/161.21 % --inst_prop_sim_given true
% 160.90/161.21 % --inst_prop_sim_new false
% 160.90/161.21 % --inst_orphan_elimination true
% 160.90/161.21 % --inst_learning_loop_flag true
% 160.90/161.21 % --inst_learning_start 3000
% 160.90/161.21 % --inst_learning_factor 2
% 160.90/161.21 % --inst_start_prop_sim_after_learn 3
% 160.90/161.21 % --inst_sel_renew solver
% 160.90/161.21 % --inst_lit_activity_flag true
% 160.90/161.21 % --inst_out_proof true
% 160.90/161.21
% 160.90/161.21 % ------ Resolution Options
% 160.90/161.21
% 160.90/161.21 % --resolution_flag true
% 160.90/161.21 % --res_lit_sel kbo_max
% 160.90/161.21 % --res_to_prop_solver none
% 160.90/161.21 % --res_prop_simpl_new false
% 160.90/161.21 % --res_prop_simpl_given false
% 160.90/161.21 % --res_passive_queue_type priority_queues
% 160.90/161.21 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 160.90/161.21 % --res_passive_queues_freq [15;5]
% 160.90/161.21 % --res_forward_subs full
% 160.90/161.21 % --res_backward_subs full
% 160.90/161.21 % --res_forward_subs_resolution true
% 160.90/161.21 % --res_backward_subs_resolution true
% 160.90/161.21 % --res_orphan_elimination false
% 160.90/161.21 % --res_time_limit 1000.
% 160.90/161.21 % --res_out_proof true
% 160.90/161.21 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_208172.s
% 160.90/161.21 % --modulo true
% 160.90/161.21
% 160.90/161.21 % ------ Combination Options
% 160.90/161.21
% 160.90/161.21 % --comb_res_mult 1000
% 160.90/161.21 % --comb_inst_mult 300
% 160.90/161.21 % ------
% 160.90/161.21
% 160.90/161.21 % ------ Parsing...% successful
% 160.90/161.21
% 160.90/161.21 % ------ 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 %
% 160.90/161.21
% 160.90/161.21 % ------ Proving...
% 160.90/161.21 % ------ Problem Properties
% 160.90/161.21
% 160.90/161.21 %
% 160.90/161.21 % EPR false
% 160.90/161.21 % Horn false
% 160.90/161.21 % Has equality true
% 160.90/161.21
% 160.90/161.21 % % ------ Input Options Time Limit: Unbounded
% 160.90/161.21
% 160.90/161.21
% 160.90/161.21 Compiling...
% 160.90/161.21 Loading plugin: done.
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% 160.90/161.21 Compiling...
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% 160.90/161.21 Compiling...
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% 160.90/161.21 Compiling...
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% 160.90/161.21 Compiling...
% 160.90/161.21 Loading plugin: done.
% 160.90/161.21 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 Compiling...
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% 169.70/170.00 Compiling...
% 169.70/170.00 Loading plugin: done.
% 169.70/170.00 % % ------ Current options:
% 169.70/170.00
% 169.70/170.00 % ------ Input Options
% 169.70/170.00
% 169.70/170.00 % --out_options all
% 169.70/170.00 % --tptp_safe_out true
% 169.70/170.00 % --problem_path ""
% 169.70/170.00 % --include_path ""
% 169.70/170.00 % --clausifier .//eprover
% 169.70/170.00 % --clausifier_options --tstp-format
% 169.70/170.00 % --stdin false
% 169.70/170.00 % --dbg_backtrace false
% 169.70/170.00 % --dbg_dump_prop_clauses false
% 169.70/170.00 % --dbg_dump_prop_clauses_file -
% 169.70/170.00 % --dbg_out_stat false
% 169.70/170.00
% 169.70/170.00 % ------ General Options
% 169.70/170.00
% 169.70/170.00 % --fof false
% 169.70/170.00 % --time_out_real 150.
% 169.70/170.00 % --time_out_prep_mult 0.2
% 169.70/170.00 % --time_out_virtual -1.
% 169.70/170.00 % --schedule none
% 169.70/170.00 % --ground_splitting input
% 169.70/170.00 % --splitting_nvd 16
% 169.70/170.00 % --non_eq_to_eq false
% 169.70/170.00 % --prep_gs_sim true
% 169.70/170.00 % --prep_unflatten false
% 169.70/170.00 % --prep_res_sim true
% 169.70/170.00 % --prep_upred true
% 169.70/170.00 % --res_sim_input true
% 169.70/170.00 % --clause_weak_htbl true
% 169.70/170.00 % --gc_record_bc_elim false
% 169.70/170.00 % --symbol_type_check false
% 169.70/170.00 % --clausify_out false
% 169.70/170.00 % --large_theory_mode false
% 169.70/170.00 % --prep_sem_filter none
% 169.70/170.00 % --prep_sem_filter_out false
% 169.70/170.00 % --preprocessed_out false
% 169.70/170.00 % --sub_typing false
% 169.70/170.00 % --brand_transform false
% 169.70/170.00 % --pure_diseq_elim true
% 169.70/170.00 % --min_unsat_core false
% 169.70/170.00 % --pred_elim true
% 169.70/170.00 % --add_important_lit false
% 169.70/170.00 % --soft_assumptions false
% 169.70/170.00 % --reset_solvers false
% 169.70/170.00 % --bc_imp_inh []
% 169.70/170.00 % --conj_cone_tolerance 1.5
% 169.70/170.00 % --prolific_symb_bound 500
% 169.70/170.00 % --lt_threshold 2000
% 169.70/170.00
% 169.70/170.00 % ------ SAT Options
% 169.70/170.00
% 169.70/170.00 % --sat_mode false
% 169.70/170.00 % --sat_fm_restart_options ""
% 169.70/170.00 % --sat_gr_def false
% 169.70/170.00 % --sat_epr_types true
% 169.70/170.00 % --sat_non_cyclic_types false
% 169.70/170.00 % --sat_finite_models false
% 169.70/170.00 % --sat_fm_lemmas false
% 169.70/170.00 % --sat_fm_prep false
% 169.70/170.00 % --sat_fm_uc_incr true
% 169.70/170.00 % --sat_out_model small
% 169.70/170.00 % --sat_out_clauses false
% 169.70/170.00
% 169.70/170.00 % ------ QBF Options
% 169.70/170.00
% 169.70/170.00 % --qbf_mode false
% 169.70/170.00 % --qbf_elim_univ true
% 169.70/170.00 % --qbf_sk_in true
% 169.70/170.00 % --qbf_pred_elim true
% 169.70/170.00 % --qbf_split 32
% 169.70/170.00
% 169.70/170.00 % ------ BMC1 Options
% 169.70/170.00
% 169.70/170.00 % --bmc1_incremental false
% 169.70/170.00 % --bmc1_axioms reachable_all
% 169.70/170.00 % --bmc1_min_bound 0
% 169.70/170.00 % --bmc1_max_bound -1
% 169.70/170.00 % --bmc1_max_bound_default -1
% 169.70/170.00 % --bmc1_symbol_reachability true
% 169.70/170.00 % --bmc1_property_lemmas false
% 169.70/170.00 % --bmc1_k_induction false
% 169.70/170.00 % --bmc1_non_equiv_states false
% 169.70/170.00 % --bmc1_deadlock false
% 169.70/170.00 % --bmc1_ucm false
% 169.70/170.00 % --bmc1_add_unsat_core none
% 169.70/170.00 % --bmc1_unsat_core_children false
% 169.70/170.00 % --bmc1_unsat_core_extrapolate_axioms false
% 169.70/170.00 % --bmc1_out_stat full
% 169.70/170.00 % --bmc1_ground_init false
% 169.70/170.00 % --bmc1_pre_inst_next_state false
% 169.70/170.00 % --bmc1_pre_inst_state false
% 169.70/170.00 % --bmc1_pre_inst_reach_state false
% 169.70/170.00 % --bmc1_out_unsat_core false
% 169.70/170.00 % --bmc1_aig_witness_out false
% 169.70/170.00 % --bmc1_verbose false
% 169.70/170.00 % --bmc1_dump_clauses_tptp false
% 169.70/170.00 % --bmc1_dump_unsat_core_tptp false
% 169.70/170.00 % --bmc1_dump_file -
% 169.70/170.00 % --bmc1_ucm_expand_uc_limit 128
% 169.70/170.00 % --bmc1_ucm_n_expand_iterations 6
% 169.70/170.00 % --bmc1_ucm_extend_mode 1
% 169.70/170.00 % --bmc1_ucm_init_mode 2
% 169.70/170.00 % --bmc1_ucm_cone_mode none
% 169.70/170.00 % --bmc1_ucm_reduced_relation_type 0
% 169.70/170.00 % --bmc1_ucm_relax_model 4
% 169.70/170.00 % --bmc1_ucm_full_tr_after_sat true
% 169.70/170.00 % --bmc1_ucm_expand_neg_assumptions false
% 169.70/170.00 % --bmc1_ucm_layered_model none
% 169.70/170.00 % --bmc1_ucm_max_lemma_size 10
% 169.70/170.00
% 169.70/170.00 % ------ AIG Options
% 169.70/170.00
% 169.70/170.00 % --aig_mode false
% 169.70/170.00
% 169.70/170.00 % ------ Instantiation Options
% 169.70/170.00
% 169.70/170.00 % --instantiation_flag true
% 169.70/170.00 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 169.70/170.00 % --inst_solver_per_active 750
% 169.70/170.00 % --inst_solver_calls_frac 0.5
% 169.70/170.00 % --inst_passive_queue_type priority_queues
% 169.70/170.00 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 169.70/170.00 % --inst_passive_queues_freq [25;2]
% 169.70/170.00 % --inst_dismatching true
% 169.70/170.00 % --inst_eager_unprocessed_to_passive true
% 169.70/170.00 % --inst_prop_sim_given true
% 169.70/170.00 % --inst_prop_sim_new false
% 169.70/170.00 % --inst_orphan_elimination true
% 169.70/170.00 % --inst_learning_loop_flag true
% 169.70/170.00 % --inst_learning_start 3000
% 169.70/170.00 % --inst_learning_factor 2
% 169.70/170.00 % --inst_start_prop_sim_after_learn 3
% 169.70/170.00 % --inst_sel_renew solver
% 169.70/170.00 % --inst_lit_activity_flag true
% 169.70/170.00 % --inst_out_proof true
% 169.70/170.00
% 169.70/170.00 % ------ Resolution Options
% 169.70/170.00
% 169.70/170.00 % --resolution_flag true
% 169.70/170.00 % --res_lit_sel kbo_max
% 169.70/170.00 % --res_to_prop_solver none
% 169.70/170.00 % --res_prop_simpl_new false
% 169.70/170.00 % --res_prop_simpl_given false
% 169.70/170.00 % --res_passive_queue_type priority_queues
% 169.70/170.00 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 169.70/170.00 % --res_passive_queues_freq [15;5]
% 169.70/170.00 % --res_forward_subs full
% 169.70/170.00 % --res_backward_subs full
% 169.70/170.00 % --res_forward_subs_resolution true
% 169.70/170.00 % --res_backward_subs_resolution true
% 169.70/170.00 % --res_orphan_elimination false
% 169.70/170.00 % --res_time_limit 1000.
% 169.70/170.00 % --res_out_proof true
% 169.70/170.00 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_208172.s
% 169.70/170.00 % --modulo true
% 169.70/170.00
% 169.70/170.00 % ------ Combination Options
% 169.70/170.00
% 169.70/170.00 % --comb_res_mult 1000
% 169.70/170.00 % --comb_inst_mult 300
% 169.70/170.00 % ------
% 169.70/170.00
% 169.70/170.00
% 169.70/170.00
% 169.70/170.00 % ------ Proving...
% 169.70/170.00 % warning: shown sat in sat incomplete mode
% 169.70/170.00 %
% 169.70/170.00
% 169.70/170.00
% 169.70/170.00
% 169.70/170.00
% 169.70/170.00 cnf(c_6028,negated_conjecture,
% 169.70/170.00 ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) | v_K != v_K_H ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_8) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_8398,negated_conjecture,
% 169.70/170.00 ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) | v_K != v_K_H ),
% 169.70/170.00 inference(copy,[status(esa)],[c_6028]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_8406,negated_conjecture,
% 169.70/170.00 ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) | v_K != v_K_H ),
% 169.70/170.00 inference(copy,[status(esa)],[c_8398]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_8409,negated_conjecture,
% 169.70/170.00 ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) | v_K != v_K_H ),
% 169.70/170.00 inference(copy,[status(esa)],[c_8406]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_8410,negated_conjecture,
% 169.70/170.00 ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) | v_K != v_K_H ),
% 169.70/170.00 inference(copy,[status(esa)],[c_8409]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26079,negated_conjecture,
% 169.70/170.00 ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) | v_K != v_K_H ),
% 169.70/170.00 inference(copy,[status(esa)],[c_8410]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_5481,plain,
% 169.70/170.00 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 169.70/170.00 | X1 = X4 ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11247_1) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_24985,plain,
% 169.70/170.00 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 169.70/170.00 | X1 = X4 ),
% 169.70/170.00 inference(copy,[status(esa)],[c_5481]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26093,plain,
% 169.70/170.00 ( c_List_Onth(c_List_Olist__update(X0,c_Message_OinvKey(v_K),X1,X2),c_Message_OinvKey(v_K_H),X2) = c_List_Onth(X0,c_Message_OinvKey(v_K_H),X2)
% 169.70/170.00 | v_K != v_K_H ),
% 169.70/170.00 inference(resolution,[status(thm)],[c_26079,c_24985]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26094,plain,
% 169.70/170.00 ( c_List_Onth(c_List_Olist__update(X0,c_Message_OinvKey(v_K),X1,X2),c_Message_OinvKey(v_K_H),X2) = c_List_Onth(X0,c_Message_OinvKey(v_K_H),X2)
% 169.70/170.00 | v_K != v_K_H ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_26093]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_4544,plain,
% 169.70/170.00 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 169.70/170.00 | X0 = X1 ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11531_1) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_23111,plain,
% 169.70/170.00 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 169.70/170.00 | X0 = X1 ),
% 169.70/170.00 inference(copy,[status(esa)],[c_4544]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26091,plain,
% 169.70/170.00 ( c_List_Oremove1(c_Message_OinvKey(v_K),c_List_Olist_OCons(c_Message_OinvKey(v_K_H),X0,X1),X1) = c_List_Olist_OCons(c_Message_OinvKey(v_K_H),c_List_Oremove1(c_Message_OinvKey(v_K),X0,X1),X1)
% 169.70/170.00 | v_K != v_K_H ),
% 169.70/170.00 inference(resolution,[status(thm)],[c_26079,c_23111]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26092,plain,
% 169.70/170.00 ( c_List_Oremove1(c_Message_OinvKey(v_K),c_List_Olist_OCons(c_Message_OinvKey(v_K_H),X0,X1),X1) = c_List_Olist_OCons(c_Message_OinvKey(v_K_H),c_List_Oremove1(c_Message_OinvKey(v_K),X0,X1),X1)
% 169.70/170.00 | v_K != v_K_H ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_26091]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_6013,plain,
% 169.70/170.00 ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11062_2) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26049,plain,
% 169.70/170.00 ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_6013]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26050,plain,
% 169.70/170.00 ( c_in(c_Pair(c_Main_OdsumE__1(X0,X1,X2,X3),c_Main_OdsumE__2(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__3(X4,X1,X2,X3),c_Main_OdsumE__4(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_26049]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_6010,plain,
% 169.70/170.00 ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11063_2) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26043,plain,
% 169.70/170.00 ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_6010]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26044,plain,
% 169.70/170.00 ( c_in(c_Pair(c_Main_OdsumE__1(X0,X1,X2,X3),c_Main_OdsumE__2(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_26043]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_6007,plain,
% 169.70/170.00 ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__3(X4,X1,X2,X3),c_Main_OdsumE__4(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11064_2) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26037,plain,
% 169.70/170.00 ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.70/170.00 | c_in(c_Pair(c_Main_OdsumE__3(X4,X1,X2,X3),c_Main_OdsumE__4(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_6007]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26038,plain,
% 169.70/170.00 ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_26037]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_6001,plain,
% 169.70/170.00 ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_in(c_Pair(c_Datatype__Universe_OScons(X5,X0,X2,X3),c_Datatype__Universe_OScons(X6,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X7,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11067_1) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26025,plain,
% 169.70/170.00 ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | c_in(c_Pair(c_Datatype__Universe_OScons(X5,X0,X2,X3),c_Datatype__Universe_OScons(X6,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X7,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_6001]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_26026,plain,
% 169.70/170.00 ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.70/170.00 | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_26025]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_5983,plain,
% 169.70/170.00 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.70/170.00 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 169.70/170.00 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11075_1) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25989,plain,
% 169.70/170.00 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.70/170.00 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 169.70/170.00 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_5983]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25990,plain,
% 169.70/170.00 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 169.70/170.00 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 169.70/170.00 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_25989]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_5977,plain,
% 169.70/170.00 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.70/170.00 | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11077_2) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25977,plain,
% 169.70/170.00 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.70/170.00 | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_5977]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25978,plain,
% 169.70/170.00 ( c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_25977]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_5971,plain,
% 169.70/170.00 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.70/170.00 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11079_2) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25965,plain,
% 169.70/170.00 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.70/170.00 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_5971]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25966,plain,
% 169.70/170.00 ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_25965]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_5964,plain,
% 169.70/170.00 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.70/170.00 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11082_2) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25951,plain,
% 169.70/170.00 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.70/170.00 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.00 inference(copy,[status(esa)],[c_5964]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_25952,plain,
% 169.70/170.00 ( c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 169.70/170.00 inference(rewriting,[status(thm)],[c_25951]) ).
% 169.70/170.00
% 169.70/170.00 cnf(c_5954,plain,
% 169.70/170.00 ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.00 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11086_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25931,plain,
% 169.70/170.01 ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.01 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5954]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25932,plain,
% 169.70/170.01 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25931]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5948,plain,
% 169.70/170.01 ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.01 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11088_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25919,plain,
% 169.70/170.01 ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.70/170.01 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5948]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25920,plain,
% 169.70/170.01 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.70/170.01 | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25919]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5916,plain,
% 169.70/170.01 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11102_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25855,plain,
% 169.70/170.01 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5916]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25856,plain,
% 169.70/170.01 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25855]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5913,plain,
% 169.70/170.01 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11103_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25849,plain,
% 169.70/170.01 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5913]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25850,plain,
% 169.70/170.01 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25849]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5910,plain,
% 169.70/170.01 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11104_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25843,plain,
% 169.70/170.01 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5910]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25844,plain,
% 169.70/170.01 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.70/170.01 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25843]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5898,plain,
% 169.70/170.01 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.70/170.01 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 169.70/170.01 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11109_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25819,plain,
% 169.70/170.01 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.70/170.01 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 169.70/170.01 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5898]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25820,plain,
% 169.70/170.01 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.70/170.01 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 169.70/170.01 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25819]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5890,plain,
% 169.70/170.01 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11112_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25803,plain,
% 169.70/170.01 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5890]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25804,plain,
% 169.70/170.01 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 169.70/170.01 | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25803]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5887,plain,
% 169.70/170.01 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11113_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25797,plain,
% 169.70/170.01 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.70/170.01 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5887]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25798,plain,
% 169.70/170.01 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 169.70/170.01 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25797]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5884,plain,
% 169.70/170.01 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 169.70/170.01 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11114_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25791,plain,
% 169.70/170.01 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 169.70/170.01 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.70/170.01 inference(copy,[status(esa)],[c_5884]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25792,plain,
% 169.70/170.01 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 169.70/170.01 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 169.70/170.01 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 169.70/170.01 inference(rewriting,[status(thm)],[c_25791]) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_5871,plain,
% 169.70/170.01 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.70/170.01 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.70/170.01 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 169.70/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11121_2) ).
% 169.70/170.01
% 169.70/170.01 cnf(c_25765,plain,
% 169.70/170.01 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.70/170.01 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.72/170.01 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5871]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25766,plain,
% 169.72/170.01 ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.72/170.01 | ~ c_Wellfounded__Recursion_Owf(X3,X2)
% 169.72/170.01 | c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25765]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5854,plain,
% 169.72/170.01 ( c_append(c_List_Ozip(X0,X1,X2,X3),c_List_Ozip(X4,X5,X2,X3),tc_prod(X2,X3)) = c_List_Ozip(c_append(X0,X4,X2),c_append(X1,X5,X3),X2,X3)
% 169.72/170.01 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 169.72/170.01 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11128_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25731,plain,
% 169.72/170.01 ( c_append(c_List_Ozip(X0,X1,X2,X3),c_List_Ozip(X4,X5,X2,X3),tc_prod(X2,X3)) = c_List_Ozip(c_append(X0,X4,X2),c_append(X1,X5,X3),X2,X3)
% 169.72/170.01 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 169.72/170.01 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5854]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25732,plain,
% 169.72/170.01 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.72/170.01 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 169.72/170.01 | c_append(c_List_Ozip(X0,X2,X1,X3),c_List_Ozip(X4,X5,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X0,X4,X1),c_append(X2,X5,X3),X1,X3) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25731]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5847,plain,
% 169.72/170.01 ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.72/170.01 | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11133_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25717,plain,
% 169.72/170.01 ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.72/170.01 | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5847]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25718,plain,
% 169.72/170.01 ( ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25717]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5844,plain,
% 169.72/170.01 ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11134_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25711,plain,
% 169.72/170.01 ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5844]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25712,plain,
% 169.72/170.01 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25711]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5838,plain,
% 169.72/170.01 ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11136_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25699,plain,
% 169.72/170.01 ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5838]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25700,plain,
% 169.72/170.01 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25699]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5830,plain,
% 169.72/170.01 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 169.72/170.01 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 169.72/170.01 | ~ c_in(X5,X2,X3) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11140_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25683,plain,
% 169.72/170.01 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 169.72/170.01 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 169.72/170.01 | ~ c_in(X5,X2,X3) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5830]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25684,plain,
% 169.72/170.01 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.72/170.01 | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 169.72/170.01 | ~ c_in(X0,X5,X2) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25683]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5824,plain,
% 169.72/170.01 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.72/170.01 | c_in(c_Datatype__Universe_OScons(X4,X0,X2,X3),c_Datatype__Universe_Ouprod(X5,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.72/170.01 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11144_1) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25671,plain,
% 169.72/170.01 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.72/170.01 | c_in(c_Datatype__Universe_OScons(X4,X0,X2,X3),c_Datatype__Universe_Ouprod(X5,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.72/170.01 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5824]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25672,plain,
% 169.72/170.01 ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.72/170.01 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.72/170.01 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25671]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5820,plain,
% 169.72/170.01 ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.72/170.01 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11145_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25663,plain,
% 169.72/170.01 ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.72/170.01 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5820]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25664,plain,
% 169.72/170.01 ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25663]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5814,plain,
% 169.72/170.01 ( c_Pair(c_List_Onth(X0,X1,X2),c_List_Onth(X3,X1,X4),X2,X4) = c_List_Onth(c_List_Ozip(X0,X3,X2,X4),X1,tc_prod(X2,X4))
% 169.72/170.01 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 169.72/170.01 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11147_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25651,plain,
% 169.72/170.01 ( c_Pair(c_List_Onth(X0,X1,X2),c_List_Onth(X3,X1,X4),X2,X4) = c_List_Onth(c_List_Ozip(X0,X3,X2,X4),X1,tc_prod(X2,X4))
% 169.72/170.01 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 169.72/170.01 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5814]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25652,plain,
% 169.72/170.01 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.72/170.01 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 169.72/170.01 | c_Pair(c_List_Onth(X1,X0,X2),c_List_Onth(X3,X0,X4),X2,X4) = c_List_Onth(c_List_Ozip(X1,X3,X2,X4),X0,tc_prod(X2,X4)) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25651]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5808,plain,
% 169.72/170.01 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.72/170.01 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 169.72/170.01 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11153_1) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25639,plain,
% 169.72/170.01 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.72/170.01 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 169.72/170.01 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5808]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25640,plain,
% 169.72/170.01 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.72/170.01 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 169.72/170.01 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25639]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5789,plain,
% 169.72/170.01 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.72/170.01 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11165_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25601,plain,
% 169.72/170.01 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.72/170.01 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5789]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25602,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.72/170.01 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.72/170.01 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.72/170.01 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25601]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5782,plain,
% 169.72/170.01 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11166_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25587,plain,
% 169.72/170.01 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5782]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25588,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.72/170.01 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25587]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5775,plain,
% 169.72/170.01 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.72/170.01 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11167_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25573,plain,
% 169.72/170.01 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.72/170.01 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5775]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25574,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.72/170.01 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.72/170.01 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.72/170.01 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25573]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5768,plain,
% 169.72/170.01 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11168_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25559,plain,
% 169.72/170.01 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5768]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25560,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.72/170.01 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.72/170.01 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25559]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5761,plain,
% 169.72/170.01 ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11174_2) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25545,plain,
% 169.72/170.01 ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5761]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25546,plain,
% 169.72/170.01 ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.72/170.01 | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25545]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5754,plain,
% 169.72/170.01 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(X0,c_0,X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11175_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25531,plain,
% 169.72/170.01 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_less(X0,c_0,X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5754]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25532,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.72/170.01 | ~ c_less(X1,c_0,X0)
% 169.72/170.01 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25531]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5747,plain,
% 169.72/170.01 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_lessequals(X0,c_0,X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11176_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25517,plain,
% 169.72/170.01 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.72/170.01 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.72/170.01 | ~ c_lessequals(X0,c_0,X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.72/170.01 | ~ class_Numeral_Onumber(X3) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5747]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25518,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.72/170.01 | ~ c_lessequals(X1,c_0,X0)
% 169.72/170.01 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25517]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5740,plain,
% 169.72/170.01 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_less(c_0,X3,X2)
% 169.72/170.01 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11177_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25503,plain,
% 169.72/170.01 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_less(c_0,X3,X2)
% 169.72/170.01 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5740]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25504,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_less(c_0,X1,X0)
% 169.72/170.01 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.72/170.01 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.72/170.01 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25503]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5733,plain,
% 169.72/170.01 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_lessequals(c_0,X3,X2)
% 169.72/170.01 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11178_6) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25489,plain,
% 169.72/170.01 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.72/170.01 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.72/170.01 | ~ c_lessequals(c_0,X3,X2)
% 169.72/170.01 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.72/170.01 | ~ class_Numeral_Onumber(X2) ),
% 169.72/170.01 inference(copy,[status(esa)],[c_5733]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_25490,plain,
% 169.72/170.01 ( ~ class_Numeral_Onumber(X0)
% 169.72/170.01 | ~ c_lessequals(c_0,X1,X0)
% 169.72/170.01 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.72/170.01 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.72/170.01 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.72/170.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.72/170.01 inference(rewriting,[status(thm)],[c_25489]) ).
% 169.72/170.01
% 169.72/170.01 cnf(c_5730,plain,
% 169.72/170.01 ( c_Nat_Opower(c_uminus(X0,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1) = c_Nat_Opower(X0,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1)
% 169.72/170.01 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.72/170.01 | ~ class_Power_Orecpower(X1) ),
% 169.72/170.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11179_2) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25483,plain,
% 169.73/170.02 ( c_Nat_Opower(c_uminus(X0,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1) = c_Nat_Opower(X0,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.73/170.02 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5730]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25484,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.02 | ~ class_Power_Orecpower(X0)
% 169.73/170.02 | c_Nat_Opower(c_uminus(X1,X0),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25483]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5715,plain,
% 169.73/170.02 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 169.73/170.02 | c_in(X4,c_List_Oset(X0,X2),X2)
% 169.73/170.02 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11189_2) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25453,plain,
% 169.73/170.02 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 169.73/170.02 | c_in(X4,c_List_Oset(X0,X2),X2)
% 169.73/170.02 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5715]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25454,plain,
% 169.73/170.02 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.02 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 169.73/170.02 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25453]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5700,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11198_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25423,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5700]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25424,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | c_less(X3,X2,X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25423]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5695,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11199_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25413,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5695]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25414,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | c_less(X2,X3,X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25413]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5690,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11200_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25403,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5690]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25404,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.02 | c_less(X3,X2,X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25403]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5685,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11201_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25393,plain,
% 169.73/170.02 ( c_less(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5685]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25394,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.02 | c_less(X2,X3,X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25393]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5680,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11202_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25383,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5680]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25384,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | c_lessequals(X3,X1,X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25383]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5675,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11203_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25373,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5675]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25374,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | c_lessequals(X1,X3,X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25373]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5670,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11204_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25363,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5670]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25364,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.02 | c_lessequals(X3,X2,X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25363]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5665,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11205_4) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25353,plain,
% 169.73/170.02 ( c_lessequals(X0,X1,X2)
% 169.73/170.02 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5665]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25354,plain,
% 169.73/170.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.02 | ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.02 | c_lessequals(X2,X3,X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25353]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5658,plain,
% 169.73/170.02 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.02 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11206_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25339,plain,
% 169.73/170.02 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.02 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5658]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25340,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25339]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5651,plain,
% 169.73/170.02 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.02 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.02 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11207_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25325,plain,
% 169.73/170.02 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.02 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.02 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5651]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25326,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25325]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5644,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11208_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25311,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5644]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25312,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25311]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5637,plain,
% 169.73/170.02 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11209_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25297,plain,
% 169.73/170.02 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5637]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25298,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25297]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5630,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11210_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25283,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5630]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25284,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25283]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5623,plain,
% 169.73/170.02 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11211_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25269,plain,
% 169.73/170.02 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5623]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25270,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25269]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5616,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11212_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25255,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5616]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25256,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25255]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5609,plain,
% 169.73/170.02 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11213_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25241,plain,
% 169.73/170.02 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5609]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25242,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.02 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25241]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5596,plain,
% 169.73/170.02 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 169.73/170.02 | ~ c_less(X2,c_0,X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11219_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25215,plain,
% 169.73/170.02 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 169.73/170.02 | ~ c_less(X2,c_0,X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5596]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25216,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_less(X2,c_0,X0)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25215]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5589,plain,
% 169.73/170.02 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(X2,c_0,X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11220_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25201,plain,
% 169.73/170.02 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.02 | ~ c_less(X2,c_0,X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.02 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5589]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25202,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(X2,c_0,X0)
% 169.73/170.02 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25201]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5582,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.02 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_lessequals(X0,c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11221_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25187,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.02 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_lessequals(X0,c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5582]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25188,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_lessequals(X1,c_0,X0)
% 169.73/170.02 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25187]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5575,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_lessequals(X0,c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11222_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25173,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_lessequals(X0,c_0,X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5575]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25174,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(X1,c_0,X0)
% 169.73/170.02 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25173]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5568,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ c_less(c_0,X3,X2)
% 169.73/170.02 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11223_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25159,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ c_less(c_0,X3,X2)
% 169.73/170.02 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5568]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25160,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_less(c_0,X1,X0)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.73/170.02 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.73/170.02 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25159]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5561,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_0,X3,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11224_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25145,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_less(c_0,X3,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5561]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25146,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_0,X2,X0)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25145]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5554,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,X3,X2)
% 169.73/170.02 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11225_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25131,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,X3,X2)
% 169.73/170.02 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5554]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25132,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_0,X1,X0)
% 169.73/170.02 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 169.73/170.02 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.02 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25131]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5547,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,X3,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11226_6) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25117,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.73/170.02 | ~ c_lessequals(c_0,X3,X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5547]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25118,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_0,X1,X0)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.73/170.02 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25117]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5541,plain,
% 169.73/170.02 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11229_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25105,plain,
% 169.73/170.02 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5541]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25106,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25105]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5535,plain,
% 169.73/170.02 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11230_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25093,plain,
% 169.73/170.02 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5535]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25094,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25093]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5529,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11231_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25081,plain,
% 169.73/170.02 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5529]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25082,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25081]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5523,plain,
% 169.73/170.02 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11232_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25069,plain,
% 169.73/170.02 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5523]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25070,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25069]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5517,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11233_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25057,plain,
% 169.73/170.02 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5517]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25058,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25057]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5511,plain,
% 169.73/170.02 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11234_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25045,plain,
% 169.73/170.02 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.02 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.02 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5511]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25046,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.02 | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.73/170.02 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25045]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5505,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11235_5) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25033,plain,
% 169.73/170.02 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.02 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.02 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.02 inference(copy,[status(esa)],[c_5505]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_25034,plain,
% 169.73/170.02 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.02 | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.02 | ~ c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.02 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.02 inference(rewriting,[status(thm)],[c_25033]) ).
% 169.73/170.02
% 169.73/170.02 cnf(c_5499,plain,
% 169.73/170.02 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.03 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.03 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.03 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11236_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_25021,plain,
% 169.73/170.03 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.03 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.73/170.03 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.03 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5499]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_25022,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.73/170.03 | c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_25021]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5475,plain,
% 169.73/170.03 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 169.73/170.03 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.73/170.03 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11253_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24973,plain,
% 169.73/170.03 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 169.73/170.03 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.73/170.03 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5475]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24974,plain,
% 169.73/170.03 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.73/170.03 | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 169.73/170.03 | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24973]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5472,plain,
% 169.73/170.03 ( ~ c_Relation_Otrans(X0,X1)
% 169.73/170.03 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.73/170.03 | ~ c_Relation_Otrans(X2,X3) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11254_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24967,plain,
% 169.73/170.03 ( ~ c_Relation_Otrans(X0,X1)
% 169.73/170.03 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.73/170.03 | ~ c_Relation_Otrans(X2,X3) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5472]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24968,plain,
% 169.73/170.03 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.73/170.03 | ~ c_Relation_Otrans(X1,X3)
% 169.73/170.03 | ~ c_Relation_Otrans(X0,X2) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24967]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5466,plain,
% 169.73/170.03 ( c_less(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.73/170.03 | ~ c_less(c_1,X2,X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.73/170.03 | ~ class_Power_Orecpower(X3) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11255_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24955,plain,
% 169.73/170.03 ( c_less(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.73/170.03 | ~ c_less(c_1,X2,X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.73/170.03 | ~ class_Power_Orecpower(X3) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5466]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24956,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.03 | ~ class_Power_Orecpower(X0)
% 169.73/170.03 | ~ c_less(c_1,X1,X0)
% 169.73/170.03 | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.73/170.03 | c_less(X2,X3,tc_nat) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24955]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5461,plain,
% 169.73/170.03 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.73/170.03 | ~ c_less(c_1,X2,X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.73/170.03 | ~ class_Power_Orecpower(X3) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11256_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24945,plain,
% 169.73/170.03 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.73/170.03 | ~ c_less(c_1,X2,X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.73/170.03 | ~ class_Power_Orecpower(X3) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5461]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24946,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.03 | ~ class_Power_Orecpower(X0)
% 169.73/170.03 | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.73/170.03 | c_lessequals(X2,X3,tc_nat)
% 169.73/170.03 | ~ c_less(c_1,X1,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24945]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5458,plain,
% 169.73/170.03 ( c_plus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_plus(X2,X3,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Osemiring(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11257_2) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24939,plain,
% 169.73/170.03 ( c_plus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_plus(X2,X3,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Osemiring(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5458]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24940,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_plus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_plus(X2,X3,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24939]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5455,plain,
% 169.73/170.03 ( c_minus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_minus(X2,X3,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oring(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11258_2) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24933,plain,
% 169.73/170.03 ( c_minus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_minus(X2,X3,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oring(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5455]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24934,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oring(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_minus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_minus(X2,X3,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24933]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5452,plain,
% 169.73/170.03 ( c_plus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_plus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Osemiring(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11259_2) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24927,plain,
% 169.73/170.03 ( c_plus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_plus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Osemiring(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5452]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24928,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_plus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_plus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24927]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5449,plain,
% 169.73/170.03 ( c_minus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_minus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oring(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11260_2) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24921,plain,
% 169.73/170.03 ( c_minus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_minus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oring(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5449]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24922,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oring(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_minus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_minus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24921]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5445,plain,
% 169.73/170.03 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11262_3) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24913,plain,
% 169.73/170.03 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5445]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24914,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.03 | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24913]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5438,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(X2,c_0,X1)
% 169.73/170.03 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11263_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24899,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(X2,c_0,X1)
% 169.73/170.03 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5438]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24900,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | c_less(X2,c_0,X0)
% 169.73/170.03 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24899]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5431,plain,
% 169.73/170.03 ( c_lessequals(X0,c_0,X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.03 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11264_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24885,plain,
% 169.73/170.03 ( c_lessequals(X0,c_0,X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.03 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5431]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24886,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(X1,c_0,X0)
% 169.73/170.03 | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24885]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5424,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_0,X2,X1)
% 169.73/170.03 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11265_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24871,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_0,X2,X1)
% 169.73/170.03 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5424]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24872,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_0,X2,X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24871]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5417,plain,
% 169.73/170.03 ( c_lessequals(c_0,X0,X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11266_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24857,plain,
% 169.73/170.03 ( c_lessequals(c_0,X0,X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5417]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24858,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,X1,X0)
% 169.73/170.03 | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24857]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5412,plain,
% 169.73/170.03 ( c_less(c_0,c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
% 169.73/170.03 | ~ c_less(c_0,X0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11267_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24847,plain,
% 169.73/170.03 ( c_less(c_0,c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
% 169.73/170.03 | ~ c_less(c_0,X0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5412]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24848,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.03 | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0),X0),X0)
% 169.73/170.03 | ~ c_less(c_0,X1,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24847]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5410,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_less(X1,X2,X0)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.03 | ~ c_less(X2,X1,X0) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11268_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24843,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_less(X1,X2,X0)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.03 | ~ c_less(X2,X1,X0) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5410]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24844,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_less(X3,X1,X0)
% 169.73/170.03 | ~ c_less(X1,X3,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24843]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5407,plain,
% 169.73/170.03 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | ~ c_less(X0,X3,X2)
% 169.73/170.03 | ~ c_less(X3,X0,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11268_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24837,plain,
% 169.73/170.03 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | ~ c_less(X0,X3,X2)
% 169.73/170.03 | ~ c_less(X3,X0,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5407]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24838,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_less(X1,X3,X0)
% 169.73/170.03 | ~ c_less(X3,X1,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24837]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5405,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_less(X1,X2,X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.73/170.03 | ~ c_less(X2,X1,X0) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11269_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24833,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_less(X1,X2,X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.73/170.03 | ~ c_less(X2,X1,X0) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5405]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24834,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_less(X3,X2,X0)
% 169.73/170.03 | ~ c_less(X2,X3,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24833]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5402,plain,
% 169.73/170.03 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_less(X2,X3,X1)
% 169.73/170.03 | ~ c_less(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11269_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24827,plain,
% 169.73/170.03 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_less(X2,X3,X1)
% 169.73/170.03 | ~ c_less(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5402]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24828,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_less(X2,X3,X0)
% 169.73/170.03 | ~ c_less(X3,X2,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24827]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5400,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.03 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.03 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11270_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24823,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.03 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.03 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5400]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24824,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_lessequals(X3,X1,X0)
% 169.73/170.03 | ~ c_lessequals(X1,X3,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24823]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5397,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.03 | ~ c_lessequals(X3,X0,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11270_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24817,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.03 | ~ c_lessequals(X3,X0,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5397]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24818,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_lessequals(X1,X3,X0)
% 169.73/170.03 | ~ c_lessequals(X3,X1,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24817]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5395,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.73/170.03 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11271_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24813,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.73/170.03 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5395]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24814,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X0)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24813]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5392,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X1)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11271_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24807,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X1)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5392]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24808,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X0)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24807]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5387,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ c_less(X2,X3,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11272_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24797,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ c_less(X2,X3,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5387]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24798,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.03 | ~ c_less(X2,X3,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24797]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5382,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ c_less(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11273_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24787,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ c_less(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5382]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24788,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.03 | ~ c_less(X3,X2,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24787]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5377,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_less(X2,X3,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11274_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24777,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_less(X2,X3,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5377]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24778,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_less(X2,X3,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24777]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5372,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_less(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11275_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24767,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ c_less(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5372]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24768,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_less(X3,X2,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24767]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5367,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11276_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24757,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5367]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24758,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_lessequals(X1,X3,X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24757]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5362,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ c_lessequals(X3,X0,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11277_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24747,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ c_lessequals(X3,X0,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5362]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24748,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | ~ c_lessequals(X3,X1,X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24747]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5357,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11278_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24737,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5357]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24738,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_lessequals(X2,X3,X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24737]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5352,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11279_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24727,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5352]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24728,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | ~ c_lessequals(X3,X2,X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24727]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5339,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11286_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24701,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5339]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24702,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24701]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5334,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11287_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24691,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5334]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24692,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24691]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5329,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11288_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24681,plain,
% 169.73/170.03 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5329]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24682,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24681]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5324,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11289_4) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24671,plain,
% 169.73/170.03 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5324]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24672,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24671]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5321,plain,
% 169.73/170.03 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 169.73/170.03 | ~ c_less(c_0,X2,tc_nat) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11290_2) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24665,plain,
% 169.73/170.03 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 169.73/170.03 | ~ c_less(c_0,X2,tc_nat) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5321]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24666,plain,
% 169.73/170.03 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.03 | c_lessequals(X0,X2,tc_nat)
% 169.73/170.03 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24665]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5318,plain,
% 169.73/170.03 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.03 | ~ c_less(c_0,X2,tc_nat) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11291_2) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24659,plain,
% 169.73/170.03 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.03 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.03 | ~ c_less(c_0,X2,tc_nat) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5318]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24660,plain,
% 169.73/170.03 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.03 | c_lessequals(X1,X2,tc_nat)
% 169.73/170.03 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24659]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5310,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.03 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11296_3) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24643,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.03 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5310]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24644,plain,
% 169.73/170.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.03 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.73/170.03 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24643]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5304,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11297_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24631,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5304]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24632,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24631]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5298,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11298_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24619,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5298]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24620,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24619]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5292,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11299_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24607,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5292]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24608,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24607]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5286,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11300_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24595,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5286]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24596,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24595]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5267,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,X2,X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11312_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24557,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,X2,X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5267]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24558,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_less(c_0,X2,X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24557]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5261,plain,
% 169.73/170.03 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(X2,c_0,X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11313_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24545,plain,
% 169.73/170.03 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(X2,c_0,X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5261]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24546,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_less(X2,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24545]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5255,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,X2,X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11314_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24533,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(c_0,X2,X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5255]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24534,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_lessequals(c_0,X2,X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24533]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5249,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_lessequals(X2,c_0,X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11315_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24521,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_lessequals(X2,c_0,X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5249]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24522,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_lessequals(X2,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24521]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5243,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(X2,c_0,X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11316_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24509,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(X2,c_0,X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5243]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24510,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.03 | c_less(X2,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24509]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5237,plain,
% 169.73/170.03 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_0,X2,X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11317_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24497,plain,
% 169.73/170.03 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(c_0,X2,X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5237]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24498,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_0,X2,X0)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24497]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5231,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(X2,c_0,X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11318_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24485,plain,
% 169.73/170.03 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_lessequals(X2,c_0,X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5231]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24486,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.03 | c_lessequals(X2,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24485]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5225,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_lessequals(c_0,X2,X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11319_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24473,plain,
% 169.73/170.03 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_lessequals(c_0,X2,X1)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5225]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24474,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_lessequals(c_0,X2,X0)
% 169.73/170.03 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24473]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5206,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ c_less(X2,c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11324_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24435,plain,
% 169.73/170.03 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.03 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.03 | ~ c_less(X2,c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5206]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24436,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | ~ c_less(X2,c_0,X0)
% 169.73/170.03 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24435]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5199,plain,
% 169.73/170.03 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.03 | ~ c_lessequals(X0,c_0,X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.03 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11325_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24421,plain,
% 169.73/170.03 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.73/170.03 | ~ c_lessequals(X0,c_0,X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.73/170.03 | ~ class_Numeral_Onumber(X3) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5199]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24422,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_lessequals(X1,c_0,X0)
% 169.73/170.03 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24421]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5192,plain,
% 169.73/170.03 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ c_less(c_0,X3,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11326_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24407,plain,
% 169.73/170.03 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ c_less(c_0,X3,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5192]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24408,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.03 | ~ c_less(c_0,X2,X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.03 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24407]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5185,plain,
% 169.73/170.03 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ c_lessequals(c_0,X3,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11327_6) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24393,plain,
% 169.73/170.03 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.03 | ~ c_lessequals(c_0,X3,X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.03 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5185]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24394,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_lessequals(c_0,X1,X0)
% 169.73/170.03 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 169.73/170.03 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.73/170.03 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24393]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5183,plain,
% 169.73/170.03 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.03 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.03 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11334_1) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24389,plain,
% 169.73/170.03 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.03 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.03 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5183]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24390,plain,
% 169.73/170.03 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.03 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.03 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24389]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5164,plain,
% 169.73/170.03 ( c_less(c_0,X0,X1)
% 169.73/170.03 | c_less(X0,c_0,X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11343_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24351,plain,
% 169.73/170.03 ( c_less(c_0,X0,X1)
% 169.73/170.03 | c_less(X0,c_0,X1)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5164]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24352,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_less(c_0,X2,X0)
% 169.73/170.03 | c_less(X2,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24351]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5158,plain,
% 169.73/170.03 ( c_lessequals(c_0,X0,X1)
% 169.73/170.03 | c_lessequals(X0,c_0,X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11344_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24339,plain,
% 169.73/170.03 ( c_lessequals(c_0,X0,X1)
% 169.73/170.03 | c_lessequals(X0,c_0,X1)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5158]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24340,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.03 | c_lessequals(c_0,X2,X0)
% 169.73/170.03 | c_lessequals(X2,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24339]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5152,plain,
% 169.73/170.03 ( c_less(c_0,X0,X1)
% 169.73/170.03 | c_less(X0,c_0,X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11345_5) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24327,plain,
% 169.73/170.03 ( c_less(c_0,X0,X1)
% 169.73/170.03 | c_less(X0,c_0,X1)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.03 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.03 inference(copy,[status(esa)],[c_5152]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_24328,plain,
% 169.73/170.03 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.03 | c_less(c_0,X1,X0)
% 169.73/170.03 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.73/170.03 | c_less(X1,c_0,X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.03 inference(rewriting,[status(thm)],[c_24327]) ).
% 169.73/170.03
% 169.73/170.03 cnf(c_5146,plain,
% 169.73/170.03 ( c_lessequals(c_0,X0,X1)
% 169.73/170.03 | c_lessequals(X0,c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11346_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24315,plain,
% 169.73/170.04 ( c_lessequals(c_0,X0,X1)
% 169.73/170.04 | c_lessequals(X0,c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5146]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24316,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | c_lessequals(c_0,X1,X0)
% 169.73/170.04 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.73/170.04 | c_lessequals(X1,c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24315]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5144,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 169.73/170.04 | ~ c_lessequals(X4,X3,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11348_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24311,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 169.73/170.04 | ~ c_lessequals(X4,X3,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5144]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24312,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.04 | ~ c_lessequals(X2,X4,X0)
% 169.73/170.04 | ~ c_lessequals(X3,X1,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24311]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5132,plain,
% 169.73/170.04 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.73/170.04 | ~ c_less(c_1,X0,X2)
% 169.73/170.04 | ~ c_less(X1,X3,tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11351_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24287,plain,
% 169.73/170.04 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.73/170.04 | ~ c_less(c_1,X0,X2)
% 169.73/170.04 | ~ c_less(X1,X3,tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5132]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24288,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_less(c_1,X1,X0)
% 169.73/170.04 | c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.73/170.04 | ~ c_less(X2,X3,tc_nat) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24287]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5127,plain,
% 169.73/170.04 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,X3,tc_nat)
% 169.73/170.04 | ~ c_less(c_1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11352_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24277,plain,
% 169.73/170.04 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,X3,tc_nat)
% 169.73/170.04 | ~ c_less(c_1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5127]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24278,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X2,X3,tc_nat)
% 169.73/170.04 | ~ c_less(c_1,X1,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24277]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5121,plain,
% 169.73/170.04 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11354_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24265,plain,
% 169.73/170.04 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5121]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24266,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24265]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5113,plain,
% 169.73/170.04 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11356_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24249,plain,
% 169.73/170.04 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5113]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24250,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24249]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5107,plain,
% 169.73/170.04 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11357_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24237,plain,
% 169.73/170.04 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5107]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24238,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24237]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5101,plain,
% 169.73/170.04 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11358_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24225,plain,
% 169.73/170.04 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5101]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24226,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24225]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5095,plain,
% 169.73/170.04 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11359_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24213,plain,
% 169.73/170.04 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5095]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24214,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.73/170.04 | ~ c_lessequals(c_0,X2,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24213]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5089,plain,
% 169.73/170.04 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11360_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24201,plain,
% 169.73/170.04 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5089]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24202,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.73/170.04 | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24201]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5083,plain,
% 169.73/170.04 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11361_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24189,plain,
% 169.73/170.04 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5083]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24190,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24189]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5077,plain,
% 169.73/170.04 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11362_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24177,plain,
% 169.73/170.04 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5077]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24178,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_lessequals(c_0,X1,X0)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.73/170.04 | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24177]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5071,plain,
% 169.73/170.04 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11363_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24165,plain,
% 169.73/170.04 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5071]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24166,plain,
% 169.73/170.04 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24165]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5065,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | c_less(c_0,X1,X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11364_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24153,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | c_less(c_0,X1,X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5065]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24154,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.04 | c_less(c_0,X2,X0)
% 169.73/170.04 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24153]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5060,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11365_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24143,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5060]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24144,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.73/170.04 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X2,X1,X0),X0)
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X2 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24143]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5055,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11366_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24133,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5055]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24134,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X2,X1,X0),X0)
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X2 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24133]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5050,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11367_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24123,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5050]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24124,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.73/170.04 | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X1 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24123]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5045,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11368_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24113,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5045]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24114,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.73/170.04 | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X1 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24113]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5040,plain,
% 169.73/170.04 ( c_lessequals(c_0,X0,X1)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11373_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24103,plain,
% 169.73/170.04 ( c_lessequals(c_0,X0,X1)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5040]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24104,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.04 | c_lessequals(c_0,X2,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24103]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5035,plain,
% 169.73/170.04 ( c_lessequals(X0,c_0,X1)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11374_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24093,plain,
% 169.73/170.04 ( c_lessequals(X0,c_0,X1)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5035]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24094,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.73/170.04 | c_lessequals(X2,c_0,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24093]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5032,plain,
% 169.73/170.04 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.04 | ~ c_less(X0,X2,tc_nat) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11375_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24087,plain,
% 169.73/170.04 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.04 | ~ c_less(X0,X2,tc_nat) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5032]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24088,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.04 | c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24087]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5029,plain,
% 169.73/170.04 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.04 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11376_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24081,plain,
% 169.73/170.04 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.04 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5029]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24082,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.04 | c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24081]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5017,plain,
% 169.73/170.04 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11387_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24057,plain,
% 169.73/170.04 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5017]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24058,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.04 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24057]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5010,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11390_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24043,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5010]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24044,plain,
% 169.73/170.04 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24043]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5005,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11391_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24033,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5005]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24034,plain,
% 169.73/170.04 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | c_less(X0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24033]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_5000,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11392_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24023,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_5000]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24024,plain,
% 169.73/170.04 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24023]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4995,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11393_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24013,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4995]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24014,plain,
% 169.73/170.04 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24013]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4990,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11394_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24003,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4990]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_24004,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 169.73/170.04 | c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_24003]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4985,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11395_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23993,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4985]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23994,plain,
% 169.73/170.04 ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23993]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4980,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11396_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23983,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4980]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23984,plain,
% 169.73/170.04 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23983]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4975,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11397_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23973,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4975]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23974,plain,
% 169.73/170.04 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23973]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4966,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11400_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23955,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4966]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23956,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.04 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23955]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4962,plain,
% 169.73/170.04 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11401_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23947,plain,
% 169.73/170.04 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4962]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23948,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.04 | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23947]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4953,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | c_less(c_0,c_0,X1)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11404_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23929,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | c_less(c_0,c_0,X1)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4953]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23930,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_less(c_0,c_0,X0)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.04 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23929]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4950,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11405_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23923,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4950]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23924,plain,
% 169.73/170.04 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ c_less(X0,c_0,X1)
% 169.73/170.04 | c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23923]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4948,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11405_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23919,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4948]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23920,plain,
% 169.73/170.04 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_less(X0,c_0,X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23919]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4945,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11406_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23913,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4945]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23914,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.04 | c_less(X0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23913]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4943,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11406_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23909,plain,
% 169.73/170.04 ( c_less(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4943]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23910,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23909]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4940,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11407_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23903,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4940]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23904,plain,
% 169.73/170.04 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | c_lessequals(X2,X0,X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ c_less(X0,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23903]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4938,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11407_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23899,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4938]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23900,plain,
% 169.73/170.04 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | c_lessequals(X2,X0,X1)
% 169.73/170.04 | ~ c_less(X0,c_0,X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23899]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4935,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11408_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23893,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4935]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23894,plain,
% 169.73/170.04 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | c_lessequals(X2,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23893]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4933,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11408_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23889,plain,
% 169.73/170.04 ( c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4933]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23890,plain,
% 169.73/170.04 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | c_lessequals(X2,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23889]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4922,plain,
% 169.73/170.04 ( X0 = c_0
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11412_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23867,plain,
% 169.73/170.04 ( X0 = c_0
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4922]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23868,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.73/170.04 | X2 = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23867]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4914,plain,
% 169.73/170.04 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11416_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23851,plain,
% 169.73/170.04 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4914]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23852,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23851]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4907,plain,
% 169.73/170.04 ( X0 = c_0
% 169.73/170.04 | c_lessequals(X0,c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11418_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23837,plain,
% 169.73/170.04 ( X0 = c_0
% 169.73/170.04 | c_lessequals(X0,c_0,X1)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4907]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23838,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 169.73/170.04 | c_lessequals(X1,c_0,X0)
% 169.73/170.04 | X1 = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23837]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4901,plain,
% 169.73/170.04 ( c_less(X0,c_0,X1)
% 169.73/170.04 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11420_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23825,plain,
% 169.73/170.04 ( c_less(X0,c_0,X1)
% 169.73/170.04 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4901]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23826,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 169.73/170.04 | c_less(X1,c_0,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23825]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4878,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,X2,X3)
% 169.73/170.04 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X2,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11429_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23779,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,X2,X3)
% 169.73/170.04 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X2,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4878]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23780,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.73/170.04 | c_less(X1,X3,X0)
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | ~ c_in(X3,X2,X0)
% 169.73/170.04 | X2 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23779]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4872,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,X2,X3)
% 169.73/170.04 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X2,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11430_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23767,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,X2,X3)
% 169.73/170.04 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X2,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4872]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23768,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.73/170.04 | c_lessequals(X1,X3,X0)
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | ~ c_in(X3,X2,X0)
% 169.73/170.04 | X2 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23767]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4866,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,X2,X3)
% 169.73/170.04 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X1,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11431_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23755,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,X2,X3)
% 169.73/170.04 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X1,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4866]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23756,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.73/170.04 | c_less(X3,X2,X0)
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | ~ c_in(X3,X1,X0)
% 169.73/170.04 | X1 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23755]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4860,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,X2,X3)
% 169.73/170.04 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X1,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11432_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23743,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,X2,X3)
% 169.73/170.04 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.04 | ~ c_in(X1,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4860]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23744,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.73/170.04 | c_lessequals(X3,X2,X0)
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | ~ c_in(X3,X1,X0)
% 169.73/170.04 | X1 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23743]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4857,plain,
% 169.73/170.04 ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11433_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23737,plain,
% 169.73/170.04 ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4857]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23738,plain,
% 169.73/170.04 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.04 | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23737]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4853,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11434_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23729,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4853]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23730,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.04 | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23729]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4848,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11436_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23719,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4848]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23720,plain,
% 169.73/170.04 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ c_less(X0,c_0,X1)
% 169.73/170.04 | ~ c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23719]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4843,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11437_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23709,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4843]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23710,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.04 | ~ c_less(X0,X2,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23709]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4840,plain,
% 169.73/170.04 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11437_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23703,plain,
% 169.73/170.04 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4840]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23704,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23703]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4837,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11438_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23697,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(X1,c_0,X0)
% 169.73/170.04 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4837]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23698,plain,
% 169.73/170.04 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.04 | ~ c_less(X2,c_0,X1)
% 169.73/170.04 | ~ c_less(X0,c_0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23697]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4832,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11439_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23687,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.04 | ~ c_less(c_0,X1,X0)
% 169.73/170.04 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4832]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23688,plain,
% 169.73/170.04 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.04 | ~ c_less(c_0,X2,X1)
% 169.73/170.04 | ~ c_less(c_0,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23687]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4822,plain,
% 169.73/170.04 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11442_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23667,plain,
% 169.73/170.04 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4822]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23668,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.04 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.04 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23667]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4805,plain,
% 169.73/170.04 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.04 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 169.73/170.04 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11448_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23633,plain,
% 169.73/170.04 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.04 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 169.73/170.04 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4805]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23634,plain,
% 169.73/170.04 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.04 | ~ c_lessequals(X1,X3,tc_set(X2))
% 169.73/170.04 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23633]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4802,plain,
% 169.73/170.04 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.04 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 169.73/170.04 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11449_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23627,plain,
% 169.73/170.04 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.04 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 169.73/170.04 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4802]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23628,plain,
% 169.73/170.04 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.73/170.04 | ~ c_lessequals(X0,X2,tc_set(X3))
% 169.73/170.04 | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23627]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4793,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11452_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23609,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4793]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23610,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 169.73/170.04 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23609]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4791,plain,
% 169.73/170.04 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11455_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23605,plain,
% 169.73/170.04 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4791]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23606,plain,
% 169.73/170.04 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23605]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4784,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11456_5) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23591,plain,
% 169.73/170.04 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.04 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4784]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23592,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.73/170.04 | ~ c_lessequals(X2,c_0,X0)
% 169.73/170.04 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23591]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4767,plain,
% 169.73/170.04 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11461_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23557,plain,
% 169.73/170.04 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4767]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23558,plain,
% 169.73/170.04 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23557]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4762,plain,
% 169.73/170.04 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11462_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23547,plain,
% 169.73/170.04 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4762]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23548,plain,
% 169.73/170.04 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23547]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4757,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11463_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23537,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4757]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23538,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23537]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4752,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11464_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23527,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4752]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23528,plain,
% 169.73/170.04 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23527]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4747,plain,
% 169.73/170.04 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(X0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11465_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23517,plain,
% 169.73/170.04 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ c_less(X0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4747]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23518,plain,
% 169.73/170.04 ( ~ c_less(c_0,X0,X1)
% 169.73/170.04 | c_less(c_divide(X2,X0,X1),c_1,X1)
% 169.73/170.04 | ~ c_less(X2,X0,X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23517]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4742,plain,
% 169.73/170.04 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11466_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23507,plain,
% 169.73/170.04 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4742]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23508,plain,
% 169.73/170.04 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ c_less(X1,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23507]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4737,plain,
% 169.73/170.04 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11467_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23497,plain,
% 169.73/170.04 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4737]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23498,plain,
% 169.73/170.04 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.04 | ~ c_less(c_0,X1,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23497]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4732,plain,
% 169.73/170.04 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11468_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23487,plain,
% 169.73/170.04 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4732]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23488,plain,
% 169.73/170.04 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.04 | ~ c_less(X1,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23487]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4719,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11473_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23461,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4719]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23462,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.73/170.04 | c_in(c_Main_OMin__gr__iff__1(X2,X1,X0),X2,X0)
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X2 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23461]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4714,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11474_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23451,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.73/170.04 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4714]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23452,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.73/170.04 | c_in(c_Main_OMin__ge__iff__1(X2,X1,X0),X2,X0)
% 169.73/170.04 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X2 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23451]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4709,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11475_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23441,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4709]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23442,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.73/170.04 | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X1 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23441]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4704,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11476_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23431,plain,
% 169.73/170.04 ( X0 = c_emptyset
% 169.73/170.04 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.73/170.04 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 169.73/170.04 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.04 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4704]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23432,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.73/170.04 | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 169.73/170.04 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.04 | X1 = c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23431]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4700,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_less(X1,X0,X3)
% 169.73/170.04 | ~ c_less(X0,X2,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11477_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23423,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_less(X1,X0,X3)
% 169.73/170.04 | ~ c_less(X0,X2,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4700]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23424,plain,
% 169.73/170.04 ( ~ class_Orderings_Oord(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X2,X3,X0)
% 169.73/170.04 | c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23423]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4696,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_lessequals(X0,X2,X3)
% 169.73/170.04 | ~ c_less(X1,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11478_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23415,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_lessequals(X0,X2,X3)
% 169.73/170.04 | ~ c_less(X1,X0,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4696]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23416,plain,
% 169.73/170.04 ( ~ class_Orderings_Oord(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X3,X1,X0)
% 169.73/170.04 | c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23415]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4692,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X3)
% 169.73/170.04 | ~ c_less(X0,X2,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11479_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23407,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X3)
% 169.73/170.04 | ~ c_less(X0,X2,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4692]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23408,plain,
% 169.73/170.04 ( ~ class_Orderings_Oord(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_less(X2,X3,X0)
% 169.73/170.04 | c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23407]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4688,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X3)
% 169.73/170.04 | ~ c_lessequals(X0,X2,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11480_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23399,plain,
% 169.73/170.04 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 169.73/170.04 | ~ c_lessequals(X1,X0,X3)
% 169.73/170.04 | ~ c_lessequals(X0,X2,X3)
% 169.73/170.04 | ~ class_Orderings_Oord(X3) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4688]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23400,plain,
% 169.73/170.04 ( ~ class_Orderings_Oord(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | ~ c_lessequals(X2,X3,X0)
% 169.73/170.04 | c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23399]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4686,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.73/170.04 | ~ c_lessequals(X3,X2,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11481_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23395,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.73/170.04 | ~ c_lessequals(X3,X2,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4686]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23396,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.04 | ~ c_lessequals(X2,X3,X0)
% 169.73/170.04 | ~ c_lessequals(X1,X3,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23395]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4682,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X3,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11482_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23387,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.04 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X3,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4682]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23388,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.04 | ~ c_lessequals(X1,X3,X0)
% 169.73/170.04 | ~ c_lessequals(X1,X2,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23387]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4678,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.73/170.04 | ~ c_less(X1,X3,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11483_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23379,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.73/170.04 | ~ c_less(X1,X3,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4678]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23380,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.04 | ~ c_less(X1,X3,X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23379]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4674,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.73/170.04 | ~ c_less(X3,X2,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11484_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23371,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | ~ c_less(X1,X2,X0)
% 169.73/170.04 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.73/170.04 | ~ c_less(X3,X2,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4674]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23372,plain,
% 169.73/170.04 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.04 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.04 | ~ c_less(X2,X3,X0)
% 169.73/170.04 | ~ c_less(X1,X3,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23371]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4657,plain,
% 169.73/170.04 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11490_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23337,plain,
% 169.73/170.04 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4657]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23338,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.04 | ~ c_less(c_0,X2,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23337]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4652,plain,
% 169.73/170.04 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11491_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23327,plain,
% 169.73/170.04 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_lessequals(c_0,X0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4652]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23328,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.04 | ~ c_lessequals(c_0,X2,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23327]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4647,plain,
% 169.73/170.04 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11492_4) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23317,plain,
% 169.73/170.04 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | ~ c_less(X0,c_0,X2)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.04 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4647]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23318,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.04 | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.73/170.04 | ~ c_less(X2,c_0,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23317]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4643,plain,
% 169.73/170.04 ( X0 = c_0
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11493_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23309,plain,
% 169.73/170.04 ( X0 = c_0
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4643]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23310,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Power_Orecpower(X0)
% 169.73/170.04 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 169.73/170.04 | X1 = c_0 ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23309]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4625,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.73/170.04 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11499_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23273,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.73/170.04 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4625]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23274,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.04 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23273]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4621,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.73/170.04 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11500_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23265,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.73/170.04 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4621]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23266,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.04 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_ONats,X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23265]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4617,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.04 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11501_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23257,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.04 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4617]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23258,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23257]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4613,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.04 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11502_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23249,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.04 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4613]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23250,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23249]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4609,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.04 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11503_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23241,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.04 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4609]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23242,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.04 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X2,c_IntDef_OInts,X0)
% 169.73/170.04 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23241]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4603,plain,
% 169.73/170.04 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11504_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23229,plain,
% 169.73/170.04 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.04 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.04 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4603]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23230,plain,
% 169.73/170.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.04 | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.04 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23229]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4596,plain,
% 169.73/170.04 ( ~ c_List_Odistinct(X0,X1)
% 169.73/170.04 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 169.73/170.04 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 169.73/170.04 | ~ c_List_Odistinct(X2,X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11507_2) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23215,plain,
% 169.73/170.04 ( ~ c_List_Odistinct(X0,X1)
% 169.73/170.04 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 169.73/170.04 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 169.73/170.04 | ~ c_List_Odistinct(X2,X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4596]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23216,plain,
% 169.73/170.04 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_List_Odistinct(X1,X2)
% 169.73/170.04 | ~ c_List_Odistinct(X0,X2)
% 169.73/170.04 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23215]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4595,plain,
% 169.73/170.04 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.73/170.04 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 169.73/170.04 | ~ c_List_Odistinct(X0,X2)
% 169.73/170.04 | ~ c_List_Odistinct(X1,X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11507_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23213,plain,
% 169.73/170.04 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.73/170.04 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 169.73/170.04 | ~ c_List_Odistinct(X0,X2)
% 169.73/170.04 | ~ c_List_Odistinct(X1,X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4595]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23214,plain,
% 169.73/170.04 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.73/170.04 | ~ c_List_Odistinct(X0,X2)
% 169.73/170.04 | ~ c_List_Odistinct(X1,X2)
% 169.73/170.04 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23213]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4593,plain,
% 169.73/170.04 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11508_1) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23209,plain,
% 169.73/170.04 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4593]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23210,plain,
% 169.73/170.04 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23209]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4569,plain,
% 169.73/170.04 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11519_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23161,plain,
% 169.73/170.04 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.04 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4569]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23162,plain,
% 169.73/170.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.04 | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23161]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4565,plain,
% 169.73/170.04 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11520_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23153,plain,
% 169.73/170.04 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4565]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23154,plain,
% 169.73/170.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.04 | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23153]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4561,plain,
% 169.73/170.04 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.04 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11521_3) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23145,plain,
% 169.73/170.04 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.04 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.04 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.04 inference(copy,[status(esa)],[c_4561]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_23146,plain,
% 169.73/170.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.04 | ~ class_Numeral_Onumber(X0)
% 169.73/170.04 | c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.04 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.73/170.04 inference(rewriting,[status(thm)],[c_23145]) ).
% 169.73/170.04
% 169.73/170.04 cnf(c_4557,plain,
% 169.73/170.04 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.04 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.04 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11522_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23137,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.05 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4557]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23138,plain,
% 169.73/170.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber(X0)
% 169.73/170.05 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.05 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23137]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4546,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 169.73/170.05 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.05 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11530_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23115,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 169.73/170.05 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.05 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4546]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23116,plain,
% 169.73/170.05 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.05 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.05 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 169.73/170.05 | X0 = X1 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23115]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4532,plain,
% 169.73/170.05 ( ~ c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11537_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23087,plain,
% 169.73/170.05 ( ~ c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4532]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23088,plain,
% 169.73/170.05 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X1,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23087]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4531,plain,
% 169.73/170.05 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11537_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23085,plain,
% 169.73/170.05 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4531]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23086,plain,
% 169.73/170.05 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23085]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4522,plain,
% 169.73/170.05 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11546_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23067,plain,
% 169.73/170.05 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4522]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23068,plain,
% 169.73/170.05 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23067]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4519,plain,
% 169.73/170.05 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_1,X1,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11547_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23061,plain,
% 169.73/170.05 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_1,X1,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4519]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23062,plain,
% 169.73/170.05 ( ~ c_less(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | c_less(c_div(X1,X0,tc_nat),X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23061]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4515,plain,
% 169.73/170.05 ( c_less(X0,c_0,X1)
% 169.73/170.05 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11552_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23053,plain,
% 169.73/170.05 ( c_less(X0,c_0,X1)
% 169.73/170.05 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4515]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23054,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 169.73/170.05 | c_less(X1,c_0,X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23053]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4511,plain,
% 169.73/170.05 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.05 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11554_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23045,plain,
% 169.73/170.05 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.05 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4511]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_23046,plain,
% 169.73/170.05 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_23045]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4452,plain,
% 169.73/170.05 ( ~ c_in(X0,X1,X2)
% 169.73/170.05 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 169.73/170.05 | c_in(X0,X3,X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11574_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22927,plain,
% 169.73/170.05 ( ~ c_in(X0,X1,X2)
% 169.73/170.05 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 169.73/170.05 | c_in(X0,X3,X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4452]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22928,plain,
% 169.73/170.05 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 169.73/170.05 | ~ c_in(X0,X1,X3)
% 169.73/170.05 | c_in(X0,X2,X3) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22927]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4445,plain,
% 169.73/170.05 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.73/170.05 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11576_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22913,plain,
% 169.73/170.05 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.73/170.05 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4445]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22914,plain,
% 169.73/170.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber(X0)
% 169.73/170.05 | c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.05 | ~ c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22913]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4441,plain,
% 169.73/170.05 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.73/170.05 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11577_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22905,plain,
% 169.73/170.05 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.73/170.05 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4441]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22906,plain,
% 169.73/170.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber(X0)
% 169.73/170.05 | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.73/170.05 | ~ c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22905]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4437,plain,
% 169.73/170.05 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11578_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22897,plain,
% 169.73/170.05 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4437]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22898,plain,
% 169.73/170.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber(X0)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.05 | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22897]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4433,plain,
% 169.73/170.05 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.05 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11579_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22889,plain,
% 169.73/170.05 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.73/170.05 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4433]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22890,plain,
% 169.73/170.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber(X0)
% 169.73/170.05 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.05 | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22889]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4429,plain,
% 169.73/170.05 ( c_less(c_0,X0,X1)
% 169.73/170.05 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11580_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22881,plain,
% 169.73/170.05 ( c_less(c_0,X0,X1)
% 169.73/170.05 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4429]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22882,plain,
% 169.73/170.05 ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22881]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4425,plain,
% 169.73/170.05 ( c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11581_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22873,plain,
% 169.73/170.05 ( c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4425]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22874,plain,
% 169.73/170.05 ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22873]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4421,plain,
% 169.73/170.05 ( c_less(X0,c_0,X1)
% 169.73/170.05 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11582_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22865,plain,
% 169.73/170.05 ( c_less(X0,c_0,X1)
% 169.73/170.05 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4421]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22866,plain,
% 169.73/170.05 ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22865]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4417,plain,
% 169.73/170.05 ( c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11583_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22857,plain,
% 169.73/170.05 ( c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4417]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22858,plain,
% 169.73/170.05 ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22857]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4412,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11585_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22847,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4412]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22848,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22847]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4411,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11585_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22845,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4411]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22846,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22845]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4407,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11586_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22837,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4407]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22838,plain,
% 169.73/170.05 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22837]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4393,plain,
% 169.73/170.05 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11592_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22809,plain,
% 169.73/170.05 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4393]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22810,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22809]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4374,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11599_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22771,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4374]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22772,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22771]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4353,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11610_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22729,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4353]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22730,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22729]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4348,plain,
% 169.73/170.05 ( c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11612_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22719,plain,
% 169.73/170.05 ( c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4348]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22720,plain,
% 169.73/170.05 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | c_lessequals(c_1,X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22719]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4346,plain,
% 169.73/170.05 ( c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11613_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22715,plain,
% 169.73/170.05 ( c_lessequals(c_1,X0,tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4346]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22716,plain,
% 169.73/170.05 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | c_lessequals(c_1,X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22715]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4334,plain,
% 169.73/170.05 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11616_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22691,plain,
% 169.73/170.05 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4334]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22692,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22691]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4328,plain,
% 169.73/170.05 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 169.73/170.05 | c_in(X0,X3,X2)
% 169.73/170.05 | c_inter(X1,X3,X2) != c_emptyset ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11618_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22679,plain,
% 169.73/170.05 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 169.73/170.05 | c_in(X0,X3,X2)
% 169.73/170.05 | c_inter(X1,X3,X2) != c_emptyset ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4328]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22680,plain,
% 169.73/170.05 ( c_in(X0,X1,X2)
% 169.73/170.05 | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 169.73/170.05 | c_inter(X3,X1,X2) != c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22679]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4322,plain,
% 169.73/170.05 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 169.73/170.05 | c_in(X1,X0,X3)
% 169.73/170.05 | c_inter(X0,X2,X3) != c_emptyset ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11620_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22667,plain,
% 169.73/170.05 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 169.73/170.05 | c_in(X1,X0,X3)
% 169.73/170.05 | c_inter(X0,X2,X3) != c_emptyset ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4322]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22668,plain,
% 169.73/170.05 ( c_in(X0,X1,X2)
% 169.73/170.05 | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 169.73/170.05 | c_inter(X1,X3,X2) != c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22667]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4313,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11623_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22649,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4313]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22650,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22649]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4291,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11633_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22605,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4291]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22606,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22605]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4287,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11634_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22597,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4287]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22598,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22597]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4279,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11638_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22581,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4279]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22582,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22581]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4270,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.05 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11642_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22563,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.05 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4270]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22564,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22563]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4250,plain,
% 169.73/170.05 ( X0 = c_0
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11650_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22523,plain,
% 169.73/170.05 ( X0 = c_0
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4250]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22524,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.73/170.05 | X2 = c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22523]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4247,plain,
% 169.73/170.05 ( c_in(X0,X1,X2)
% 169.73/170.05 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 169.73/170.05 | ~ c_in(X1,X3,tc_set(X2)) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11651_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22517,plain,
% 169.73/170.05 ( c_in(X0,X1,X2)
% 169.73/170.05 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 169.73/170.05 | ~ c_in(X1,X3,tc_set(X2)) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4247]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22518,plain,
% 169.73/170.05 ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 169.73/170.05 | ~ c_in(X3,X1,tc_set(X2))
% 169.73/170.05 | c_in(X0,X3,X2) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22517]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4233,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11656_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22489,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4233]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22490,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22489]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4209,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11662_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22441,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4209]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22442,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22441]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4207,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11662_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22437,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4207]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22438,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22437]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4202,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 169.73/170.05 | ~ c_less(c_1,X2,X3)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.73/170.05 | ~ class_Power_Orecpower(X3) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11663_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22427,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 169.73/170.05 | ~ c_less(c_1,X2,X3)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.73/170.05 | ~ class_Power_Orecpower(X3) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4202]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22428,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_less(c_1,X1,X0)
% 169.73/170.05 | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 169.73/170.05 | X2 = X3 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22427]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4195,plain,
% 169.73/170.05 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 169.73/170.05 | X1 = c_emptyset
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.05 | ~ c_in(X0,X1,X2)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11665_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22413,plain,
% 169.73/170.05 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 169.73/170.05 | X1 = c_emptyset
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.05 | ~ c_in(X0,X1,X2)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4195]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22414,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | ~ c_in(X2,X1,X0)
% 169.73/170.05 | c_Orderings_Omax(X2,c_Finite__Set_OMin(X1,X0),X0) = X2
% 169.73/170.05 | X1 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22413]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4190,plain,
% 169.73/170.05 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 169.73/170.05 | X1 = c_emptyset
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.05 | ~ c_in(X0,X1,X2)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11666_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22403,plain,
% 169.73/170.05 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 169.73/170.05 | X1 = c_emptyset
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.05 | ~ c_in(X0,X1,X2)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4190]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22404,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | ~ c_in(X2,X1,X0)
% 169.73/170.05 | c_Orderings_Omin(X2,c_Finite__Set_OMax(X1,X0),X0) = X2
% 169.73/170.05 | X1 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22403]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4185,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ c_in(X2,X0,X1)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11667_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22393,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ c_in(X2,X0,X1)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4185]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22394,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | c_lessequals(c_Finite__Set_OMin(X1,X0),X2,X0)
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | ~ c_in(X2,X1,X0)
% 169.73/170.05 | X1 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22393]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4180,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.05 | ~ c_in(X1,X0,X2)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11668_4) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22383,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.05 | ~ c_in(X1,X0,X2)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4180]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22384,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 169.73/170.05 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | ~ c_in(X1,X2,X0)
% 169.73/170.05 | X2 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22383]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4176,plain,
% 169.73/170.05 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11670_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22375,plain,
% 169.73/170.05 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4176]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22376,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22375]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4174,plain,
% 169.73/170.05 ( c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11671_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22371,plain,
% 169.73/170.05 ( c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4174]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22372,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22371]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4166,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11674_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22355,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4166]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22356,plain,
% 169.73/170.05 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22355]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4154,plain,
% 169.73/170.05 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11679_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22331,plain,
% 169.73/170.05 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4154]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22332,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.05 | c_less(c_plus(X1,X1,X0),c_0,X0)
% 169.73/170.05 | ~ c_less(X1,c_0,X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22331]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4142,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11682_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22307,plain,
% 169.73/170.05 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4142]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22308,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22307]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4138,plain,
% 169.73/170.05 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11686_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22299,plain,
% 169.73/170.05 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4138]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22300,plain,
% 169.73/170.05 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22299]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4134,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11687_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22291,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4134]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22292,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.73/170.05 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22291]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4130,plain,
% 169.73/170.05 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11688_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22283,plain,
% 169.73/170.05 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4130]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22284,plain,
% 169.73/170.05 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22283]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4126,plain,
% 169.73/170.05 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11689_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22275,plain,
% 169.73/170.05 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4126]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22276,plain,
% 169.73/170.05 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22275]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4106,plain,
% 169.73/170.05 ( c_Nat_Opower(c_HOL_Oabs(X0,X1),c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11697_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22235,plain,
% 169.73/170.05 ( c_Nat_Opower(c_HOL_Oabs(X0,X1),c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4106]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22236,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_Nat_Opower(c_HOL_Oabs(X2,X0),c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22235]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4092,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11702_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22207,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4092]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22208,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22207]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4074,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11727_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22171,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4074]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22172,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22171]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4060,plain,
% 169.73/170.05 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11733_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22143,plain,
% 169.73/170.05 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4060]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22144,plain,
% 169.73/170.05 ( c_lessequals(c_1,c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22143]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4054,plain,
% 169.73/170.05 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11735_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22131,plain,
% 169.73/170.05 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4054]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22132,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 169.73/170.05 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22131]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_4018,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11753_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22059,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_4018]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22060,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22059]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3996,plain,
% 169.73/170.05 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11762_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22015,plain,
% 169.73/170.05 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3996]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22016,plain,
% 169.73/170.05 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X3,X0,X2) | c_in(X3,X1,X2) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22015]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3995,plain,
% 169.73/170.05 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11762_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22013,plain,
% 169.73/170.05 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3995]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_22014,plain,
% 169.73/170.05 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X3,X1,X2) | ~ c_in(X3,X0,X2) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_22013]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3961,plain,
% 169.73/170.05 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11781_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21945,plain,
% 169.73/170.05 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3961]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21946,plain,
% 169.73/170.05 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.05 | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 169.73/170.05 | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21945]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3941,plain,
% 169.73/170.05 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 169.73/170.05 | c_Parity_Oeven(X2,tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11788_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21905,plain,
% 169.73/170.05 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 169.73/170.05 | c_Parity_Oeven(X2,tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3941]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21906,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21905]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3925,plain,
% 169.73/170.05 ( X0 = c_0
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11795_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21873,plain,
% 169.73/170.05 ( X0 = c_0
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3925]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21874,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 169.73/170.05 | X1 = c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21873]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3922,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11798_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21867,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3922]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21868,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21867]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3916,plain,
% 169.73/170.05 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.05 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.05 | ~ c_List_Odistinct(X1,X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11800_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21855,plain,
% 169.73/170.05 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.05 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.05 | ~ c_List_Odistinct(X1,X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3916]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21856,plain,
% 169.73/170.05 ( c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.05 | ~ c_List_Odistinct(X1,X2)
% 169.73/170.05 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21855]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3913,plain,
% 169.73/170.05 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11803_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21849,plain,
% 169.73/170.05 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3913]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21850,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21849]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3912,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11804_0) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21847,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3912]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21848,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21847]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3897,plain,
% 169.73/170.05 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11813_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21817,plain,
% 169.73/170.05 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3897]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21818,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.05 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21817]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3891,plain,
% 169.73/170.05 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11815_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21805,plain,
% 169.73/170.05 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3891]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21806,plain,
% 169.73/170.05 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21805]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3888,plain,
% 169.73/170.05 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11816_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21799,plain,
% 169.73/170.05 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3888]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21800,plain,
% 169.73/170.05 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21799]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3864,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11825_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21751,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3864]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21752,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21751]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3863,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11825_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21749,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3863]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21750,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21749]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3861,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11826_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21745,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3861]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21746,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21745]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3860,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11826_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21743,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3860]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21744,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21743]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3858,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11827_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21739,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3858]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21740,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21739]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3857,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11827_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21737,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3857]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21738,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21737]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3855,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11828_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21733,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3855]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21734,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21733]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3854,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11828_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21731,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3854]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21732,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.05 | c_Parity_Oeven(X0,tc_nat)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21731]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3852,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11829_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21727,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3852]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21728,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21727]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3851,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11829_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21725,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3851]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21726,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21725]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3849,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11830_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21721,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3849]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21722,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21721]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3848,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11830_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21719,plain,
% 169.73/170.05 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3848]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21720,plain,
% 169.73/170.05 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21719]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3823,plain,
% 169.73/170.05 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11848_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21669,plain,
% 169.73/170.05 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3823]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21670,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) != c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21669]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3812,plain,
% 169.73/170.05 ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11860_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21647,plain,
% 169.73/170.05 ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3812]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21648,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21647]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3808,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11861_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21639,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3808]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21640,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | X1 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21639]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3794,plain,
% 169.73/170.05 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.73/170.05 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11867_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21611,plain,
% 169.73/170.05 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.73/170.05 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3794]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21612,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.05 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21611]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3764,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11879_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21551,plain,
% 169.73/170.05 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3764]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21552,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21551]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3761,plain,
% 169.73/170.05 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11880_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21545,plain,
% 169.73/170.05 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3761]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21546,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21545]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3758,plain,
% 169.73/170.05 ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11881_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21539,plain,
% 169.73/170.05 ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3758]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21540,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21539]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3736,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11891_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21495,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3736]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21496,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21495]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3726,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11896_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21475,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3726]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21476,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21475]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3710,plain,
% 169.73/170.05 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 169.73/170.05 | ~ c_in(X2,X0,X1)
% 169.73/170.05 | X2 = X3
% 169.73/170.05 | ~ c_in(X3,X0,X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11902_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21443,plain,
% 169.73/170.05 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 169.73/170.05 | ~ c_in(X2,X0,X1)
% 169.73/170.05 | X2 = X3
% 169.73/170.05 | ~ c_in(X3,X0,X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3710]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21444,plain,
% 169.73/170.05 ( ~ c_in(X0,X1,X2)
% 169.73/170.05 | ~ c_in(X3,X1,X2)
% 169.73/170.05 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 169.73/170.05 | X0 = X3 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21443]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3708,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | ~ c_in(X1,X2,X3)
% 169.73/170.05 | ~ c_in(X0,X2,X3)
% 169.73/170.05 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11902_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21439,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | ~ c_in(X1,X2,X3)
% 169.73/170.05 | ~ c_in(X0,X2,X3)
% 169.73/170.05 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3708]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21440,plain,
% 169.73/170.05 ( ~ c_in(X0,X1,X2)
% 169.73/170.05 | ~ c_in(X3,X1,X2)
% 169.73/170.05 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 169.73/170.05 | X3 = X0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21439]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3704,plain,
% 169.73/170.05 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11905_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21431,plain,
% 169.73/170.05 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3704]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21432,plain,
% 169.73/170.05 ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21431]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3694,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11909_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21411,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3694]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21412,plain,
% 169.73/170.05 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21411]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3693,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11909_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21409,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3693]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21410,plain,
% 169.73/170.05 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21409]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3689,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11910_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21401,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3689]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21402,plain,
% 169.73/170.05 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21401]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3686,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.05 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11911_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21395,plain,
% 169.73/170.05 ( X0 = X1
% 169.73/170.05 | ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.05 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3686]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21396,plain,
% 169.73/170.05 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.05 | ~ c_lessequals(X1,X0,tc_set(X2))
% 169.73/170.05 | X0 = X1 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21395]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3682,plain,
% 169.73/170.05 ( c_less(c_0,X0,X1)
% 169.73/170.05 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11912_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21387,plain,
% 169.73/170.05 ( c_less(c_0,X0,X1)
% 169.73/170.05 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3682]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21388,plain,
% 169.73/170.05 ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21387]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3678,plain,
% 169.73/170.05 ( c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11913_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21379,plain,
% 169.73/170.05 ( c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3678]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21380,plain,
% 169.73/170.05 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21379]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3674,plain,
% 169.73/170.05 ( c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11914_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21371,plain,
% 169.73/170.05 ( c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3674]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21372,plain,
% 169.73/170.05 ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21371]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3670,plain,
% 169.73/170.05 ( c_less(X0,c_0,X1)
% 169.73/170.05 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11915_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21363,plain,
% 169.73/170.05 ( c_less(X0,c_0,X1)
% 169.73/170.05 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3670]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21364,plain,
% 169.73/170.05 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21363]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3662,plain,
% 169.73/170.05 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11919_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21347,plain,
% 169.73/170.05 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3662]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21348,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21347]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3633,plain,
% 169.73/170.05 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11927_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21289,plain,
% 169.73/170.05 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3633]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21290,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21289]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3628,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11929_2) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21279,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3628]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21280,plain,
% 169.73/170.05 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21279]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3597,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11941_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21217,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3597]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21218,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | X1 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21217]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3593,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11942_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21209,plain,
% 169.73/170.05 ( X0 = c_emptyset
% 169.73/170.05 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 169.73/170.05 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.05 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3593]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21210,plain,
% 169.73/170.05 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.05 | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 169.73/170.05 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.05 | X1 = c_emptyset ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21209]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3545,plain,
% 169.73/170.05 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11959_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21113,plain,
% 169.73/170.05 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3545]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21114,plain,
% 169.73/170.05 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ c_less(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21113]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3541,plain,
% 169.73/170.05 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11960_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21105,plain,
% 169.73/170.05 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3541]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21106,plain,
% 169.73/170.05 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21105]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3537,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11961_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21097,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3537]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21098,plain,
% 169.73/170.05 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.73/170.05 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21097]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3533,plain,
% 169.73/170.05 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11962_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21089,plain,
% 169.73/170.05 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3533]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21090,plain,
% 169.73/170.05 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.73/170.05 | ~ c_less(X0,c_0,X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21089]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3508,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11977_1) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21039,plain,
% 169.73/170.05 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3508]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21040,plain,
% 169.73/170.05 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21039]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3506,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11977_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21035,plain,
% 169.73/170.05 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3506]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_21036,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_21035]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3435,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12016_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20893,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3435]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20894,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_20893]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3431,plain,
% 169.73/170.05 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 169.73/170.05 | ~ c_Parity_Oeven(X2,tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12017_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20885,plain,
% 169.73/170.05 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 169.73/170.05 | ~ c_Parity_Oeven(X2,tc_nat)
% 169.73/170.05 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.73/170.05 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3431]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20886,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.05 | ~ class_Power_Orecpower(X0)
% 169.73/170.05 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.73/170.05 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_20885]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3399,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12031_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20821,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3399]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20822,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_20821]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3395,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12032_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20813,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3395]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20814,plain,
% 169.73/170.05 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.05 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_20813]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_3381,plain,
% 169.73/170.05 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12040_3) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20785,plain,
% 169.73/170.05 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.05 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.05 inference(copy,[status(esa)],[c_3381]) ).
% 169.73/170.05
% 169.73/170.05 cnf(c_20786,plain,
% 169.73/170.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.05 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.05 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 169.73/170.05 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.05 inference(rewriting,[status(thm)],[c_20785]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3360,plain,
% 169.73/170.06 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12064_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20743,plain,
% 169.73/170.06 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3360]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20744,plain,
% 169.73/170.06 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20743]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3357,plain,
% 169.73/170.06 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12065_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20737,plain,
% 169.73/170.06 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3357]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20738,plain,
% 169.73/170.06 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20737]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3354,plain,
% 169.73/170.06 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12066_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20731,plain,
% 169.73/170.06 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3354]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20732,plain,
% 169.73/170.06 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20731]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3317,plain,
% 169.73/170.06 ( c_less(c_0,X0,tc_nat)
% 169.73/170.06 | c_Nat_Opower(X1,X0,X2) != c_0
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.06 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12096_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20657,plain,
% 169.73/170.06 ( c_less(c_0,X0,tc_nat)
% 169.73/170.06 | c_Nat_Opower(X1,X0,X2) != c_0
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.06 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3317]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20658,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0)
% 169.73/170.06 | c_less(c_0,X1,tc_nat)
% 169.73/170.06 | c_Nat_Opower(X2,X1,X0) != c_0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20657]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3313,plain,
% 169.73/170.06 ( c_less(c_1,X0,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12100_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20649,plain,
% 169.73/170.06 ( c_less(c_1,X0,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3313]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20650,plain,
% 169.73/170.06 ( ~ c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 169.73/170.06 | c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20649]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3310,plain,
% 169.73/170.06 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12101_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20643,plain,
% 169.73/170.06 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3310]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20644,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.06 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20643]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3298,plain,
% 169.73/170.06 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 169.73/170.06 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.06 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12106_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20619,plain,
% 169.73/170.06 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 169.73/170.06 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.06 | ~ class_Power_Orecpower(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3298]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20620,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0)
% 169.73/170.06 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.06 | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20619]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3283,plain,
% 169.73/170.06 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.73/170.06 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12112_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20589,plain,
% 169.73/170.06 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.73/170.06 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3283]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20590,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.06 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.73/170.06 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20589]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3269,plain,
% 169.73/170.06 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 169.73/170.06 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12122_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20561,plain,
% 169.73/170.06 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 169.73/170.06 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3269]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20562,plain,
% 169.73/170.06 ( c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 169.73/170.06 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20561]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3261,plain,
% 169.73/170.06 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12127_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20545,plain,
% 169.73/170.06 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3261]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20546,plain,
% 169.73/170.06 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20545]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3258,plain,
% 169.73/170.06 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12128_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20539,plain,
% 169.73/170.06 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.06 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3258]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20540,plain,
% 169.73/170.06 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20539]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3255,plain,
% 169.73/170.06 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12129_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20533,plain,
% 169.73/170.06 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3255]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20534,plain,
% 169.73/170.06 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.06 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20533]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3235,plain,
% 169.73/170.06 ( X0 = c_0
% 169.73/170.06 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.06 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12137_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20493,plain,
% 169.73/170.06 ( X0 = c_0
% 169.73/170.06 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.06 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3235]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20494,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0)
% 169.73/170.06 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 169.73/170.06 | X1 = c_0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20493]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3231,plain,
% 169.73/170.06 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12139_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20485,plain,
% 169.73/170.06 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3231]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20486,plain,
% 169.73/170.06 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_1 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20485]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3228,plain,
% 169.73/170.06 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12140_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20479,plain,
% 169.73/170.06 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3228]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20480,plain,
% 169.73/170.06 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20479]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3225,plain,
% 169.73/170.06 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12141_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20473,plain,
% 169.73/170.06 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3225]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20474,plain,
% 169.73/170.06 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20473]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3190,plain,
% 169.73/170.06 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.06 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12164_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20403,plain,
% 169.73/170.06 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.73/170.06 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3190]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20404,plain,
% 169.73/170.06 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.06 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 169.73/170.06 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20403]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3141,plain,
% 169.73/170.06 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.73/170.06 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12190_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20305,plain,
% 169.73/170.06 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.73/170.06 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3141]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20306,plain,
% 169.73/170.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber(X0)
% 169.73/170.06 | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20305]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3111,plain,
% 169.73/170.06 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12207_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20245,plain,
% 169.73/170.06 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3111]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20246,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0)
% 169.73/170.06 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20245]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3093,plain,
% 169.73/170.06 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12213_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20209,plain,
% 169.73/170.06 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3093]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20210,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0)
% 169.73/170.06 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.73/170.06 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20209]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3040,plain,
% 169.73/170.06 ( X0 = c_0
% 169.73/170.06 | c_Nat_Opower(X0,X1,X2) != c_0
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.06 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12237_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20103,plain,
% 169.73/170.06 ( X0 = c_0
% 169.73/170.06 | c_Nat_Opower(X0,X1,X2) != c_0
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.73/170.06 | ~ class_Power_Orecpower(X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3040]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20104,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Power_Orecpower(X0)
% 169.73/170.06 | c_Nat_Opower(X1,X2,X0) != c_0
% 169.73/170.06 | X1 = c_0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20103]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3023,plain,
% 169.73/170.06 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.73/170.06 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 169.73/170.06 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12244_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20069,plain,
% 169.73/170.06 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.73/170.06 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 169.73/170.06 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.73/170.06 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3023]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20070,plain,
% 169.73/170.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber(X0)
% 169.73/170.06 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 169.73/170.06 | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20069]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_3019,plain,
% 169.73/170.06 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.06 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 169.73/170.06 | ~ class_OrderedGroup_Oab__group__add(X2)
% 169.73/170.06 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12245_3) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20061,plain,
% 169.73/170.06 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 169.73/170.06 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 169.73/170.06 | ~ class_OrderedGroup_Oab__group__add(X2)
% 169.73/170.06 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_3019]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_20062,plain,
% 169.73/170.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber(X0)
% 169.73/170.06 | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 169.73/170.06 | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_20061]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2954,plain,
% 169.73/170.06 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12276_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19931,plain,
% 169.73/170.06 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2954]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19932,plain,
% 169.73/170.06 ( ~ c_Divides_Oop_Advd(X0,c_1,tc_nat) | X0 = c_1 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19931]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2927,plain,
% 169.73/170.06 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12288_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19877,plain,
% 169.73/170.06 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2927]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19878,plain,
% 169.73/170.06 ( c_times(X0,X1,tc_nat) != c_1 | X1 = c_1 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19877]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2925,plain,
% 169.73/170.06 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12289_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19873,plain,
% 169.73/170.06 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2925]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19874,plain,
% 169.73/170.06 ( c_times(X0,X1,tc_nat) != c_1 | X0 = c_1 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19873]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2832,plain,
% 169.73/170.06 ( X0 = c_0
% 169.73/170.06 | c_lessequals(X0,X1,tc_nat)
% 169.73/170.06 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12355_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19687,plain,
% 169.73/170.06 ( X0 = c_0
% 169.73/170.06 | c_lessequals(X0,X1,tc_nat)
% 169.73/170.06 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2832]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19688,plain,
% 169.73/170.06 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.06 | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 169.73/170.06 | X0 = c_0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19687]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2821,plain,
% 169.73/170.06 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12362_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19665,plain,
% 169.73/170.06 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2821]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19666,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.06 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19665]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2661,plain,
% 169.73/170.06 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12536_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19345,plain,
% 169.73/170.06 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2661]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19346,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.06 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19345]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2655,plain,
% 169.73/170.06 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12538_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19333,plain,
% 169.73/170.06 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 169.73/170.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2655]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19334,plain,
% 169.73/170.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.06 | ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.06 | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19333]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2629,plain,
% 169.73/170.06 ( ~ class_Finite__Set_Ofinite(X0)
% 169.73/170.06 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12559_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19281,plain,
% 169.73/170.06 ( ~ class_Finite__Set_Ofinite(X0)
% 169.73/170.06 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2629]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19282,plain,
% 169.73/170.06 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1)
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19281]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2626,plain,
% 169.73/170.06 ( ~ class_Finite__Set_Ofinite(X0)
% 169.73/170.06 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12560_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19275,plain,
% 169.73/170.06 ( ~ class_Finite__Set_Ofinite(X0)
% 169.73/170.06 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2626]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19276,plain,
% 169.73/170.06 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1)
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19275]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_2623,plain,
% 169.73/170.06 ( ~ class_Finite__Set_Ofinite(X0)
% 169.73/170.06 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12561_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19269,plain,
% 169.73/170.06 ( ~ class_Finite__Set_Ofinite(X0)
% 169.73/170.06 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_2623]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_19270,plain,
% 169.73/170.06 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X1)
% 169.73/170.06 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_19269]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_324,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12427_0) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_14915,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_324]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_14916,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(c_1,c_1,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_14915]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_314,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12444_0) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_14898,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_314]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_14899,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(c_1,X0,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_14898]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_310,plain,
% 169.73/170.06 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12451_0) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_14892,plain,
% 169.73/170.06 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_310]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_14893,plain,
% 169.73/170.06 ( c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_14892]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6029,negated_conjecture,
% 169.73/170.06 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) | v_K = v_K_H ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_9) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_8400,negated_conjecture,
% 169.73/170.06 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) | v_K = v_K_H ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6029]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_8407,negated_conjecture,
% 169.73/170.06 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) | v_K = v_K_H ),
% 169.73/170.06 inference(copy,[status(esa)],[c_8400]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_8408,negated_conjecture,
% 169.73/170.06 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) | v_K = v_K_H ),
% 169.73/170.06 inference(copy,[status(esa)],[c_8407]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_8411,negated_conjecture,
% 169.73/170.06 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) | v_K = v_K_H ),
% 169.73/170.06 inference(copy,[status(esa)],[c_8408]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26081,negated_conjecture,
% 169.73/170.06 ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) | v_K = v_K_H ),
% 169.73/170.06 inference(copy,[status(esa)],[c_8411]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6026,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),X5,X3),X1,tc_prod(X5,X3))
% 169.73/170.06 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11056_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26075,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),X5,X3),X1,tc_prod(X5,X3))
% 169.73/170.06 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6026]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6024,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X3,X4),X0,tc_prod(X3,X4))
% 169.73/170.06 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11057_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26071,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X3,X4),X0,tc_prod(X3,X4))
% 169.73/170.06 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6024]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6022,plain,
% 169.73/170.06 ( c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X5,X4) = X2
% 169.73/170.06 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11058_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26067,plain,
% 169.73/170.06 ( c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X5,X4) = X2
% 169.73/170.06 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6022]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26068,plain,
% 169.73/170.06 ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 169.73/170.06 | c_Pair(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),X5,X4) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_26067]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6020,plain,
% 169.73/170.06 ( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 169.73/170.06 | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11059_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26063,plain,
% 169.73/170.06 ( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 169.73/170.06 | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6020]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26064,plain,
% 169.73/170.06 ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 169.73/170.06 | c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_26063]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6018,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 169.73/170.06 | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11060_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26059,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 169.73/170.06 | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6018]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6016,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 169.73/170.06 | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11061_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26055,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 169.73/170.06 | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6016]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6005,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 169.73/170.06 | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11065_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26033,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 169.73/170.06 | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6005]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6003,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__2(X1,X2,X3,X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11066_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26029,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__2(X1,X2,X3,X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6003]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26030,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_26029]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_6000,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11067_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26023,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_6000]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5998,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 169.73/170.06 | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11068_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26019,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 169.73/170.06 | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5998]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5996,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X3,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11069_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26015,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X3,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5996]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26016,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_26015]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5993,plain,
% 169.73/170.06 ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.73/170.06 | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.73/170.06 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11070_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26009,plain,
% 169.73/170.06 ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.73/170.06 | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 169.73/170.06 | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5993]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26010,plain,
% 169.73/170.06 ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 169.73/170.06 | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 169.73/170.06 | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_26009]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5991,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 169.73/170.06 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11071_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26005,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 169.73/170.06 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5991]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5989,plain,
% 169.73/170.06 ( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X4) = X1
% 169.73/170.06 | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11072_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26001,plain,
% 169.73/170.06 ( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X4) = X1
% 169.73/170.06 | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5989]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_26002,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 169.73/170.06 | c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X3) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_26001]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5987,plain,
% 169.73/170.06 ( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons1__2(X0,X1,X2,X3,X4),X4) = X1
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X2,X3,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11073_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25997,plain,
% 169.73/170.06 ( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons1__2(X0,X1,X2,X3,X4),X4) = X1
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X2,X3,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5987]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25998,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),X2) = X3 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25997]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5985,plain,
% 169.73/170.06 ( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,X2,X3,X4),c_Main_OuprodE__2(X0,X1,X2,X3,X4),X3,X4) = X2
% 169.73/170.06 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11074_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25993,plain,
% 169.73/170.06 ( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,X2,X3,X4),c_Main_OuprodE__2(X0,X1,X2,X3,X4),X3,X4) = X2
% 169.73/170.06 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5985]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25994,plain,
% 169.73/170.06 ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.73/170.06 | c_Datatype__Universe_OScons(c_Main_OuprodE__1(X1,X2,X0,X3,X4),c_Main_OuprodE__2(X1,X2,X0,X3,X4),X3,X4) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25993]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5982,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 169.73/170.06 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11075_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25987,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 169.73/170.06 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5982]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5980,plain,
% 169.73/170.06 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 169.73/170.06 | ~ c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X2,X1,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11076_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25983,plain,
% 169.73/170.06 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 169.73/170.06 | ~ c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X2,X1,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5980]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25984,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 169.73/170.06 | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25983]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5974,plain,
% 169.73/170.06 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.73/170.06 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11078_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25971,plain,
% 169.73/170.06 ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 169.73/170.06 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5974]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25972,plain,
% 169.73/170.06 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25971]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5969,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_OIn1(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11080_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25961,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_OIn1(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5969]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5967,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_OIn0(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11081_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25957,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_OIn0(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5967]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5962,plain,
% 169.73/170.06 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.73/170.06 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11083_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25947,plain,
% 169.73/170.06 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.73/170.06 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5962]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5960,plain,
% 169.73/170.06 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.73/170.06 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11084_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25943,plain,
% 169.73/170.06 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.73/170.06 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5960]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5957,plain,
% 169.73/170.06 ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11085_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25937,plain,
% 169.73/170.06 ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5957]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25938,plain,
% 169.73/170.06 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25937]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5951,plain,
% 169.73/170.06 ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11087_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25925,plain,
% 169.73/170.06 ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5951]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25926,plain,
% 169.73/170.06 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25925]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5946,plain,
% 169.73/170.06 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 169.73/170.06 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11089_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25915,plain,
% 169.73/170.06 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 169.73/170.06 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5946]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5944,plain,
% 169.73/170.06 ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11090_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25911,plain,
% 169.73/170.06 ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5944]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25912,plain,
% 169.73/170.06 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25911]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5942,plain,
% 169.73/170.06 ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11091_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25907,plain,
% 169.73/170.06 ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.06 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5942]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25908,plain,
% 169.73/170.06 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.06 | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25907]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5939,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11092_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25901,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5939]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25902,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25901]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5936,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11093_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25895,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5936]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25896,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25895]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5934,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 169.73/170.06 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11095_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25891,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 169.73/170.06 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5934]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5932,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OconverseE__1(X0,X1,X2,X3),c_Main_OconverseE__2(X0,X1,X2,X3),X2,X3),X0,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11096_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25887,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_OconverseE__1(X0,X1,X2,X3),c_Main_OconverseE__2(X0,X1,X2,X3),X2,X3),X0,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5932]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5930,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11097_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25883,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5930]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25884,plain,
% 169.73/170.06 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.73/170.06 | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25883]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5928,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11098_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25879,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5928]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5925,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.06 | c_in(c_Pair(X0,X2,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X1),c_List_Olist_OCons(X5,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11099_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25873,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.06 | c_in(c_Pair(X0,X2,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X1),c_List_Olist_OCons(X5,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5925]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25874,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25873]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5922,plain,
% 169.73/170.06 ( X0 = X1
% 169.73/170.06 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11100_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25867,plain,
% 169.73/170.06 ( X0 = X1
% 169.73/170.06 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5922]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25868,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 169.73/170.06 | X0 = X3 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25867]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5919,plain,
% 169.73/170.06 ( X0 = X1
% 169.73/170.06 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11101_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25861,plain,
% 169.73/170.06 ( X0 = X1
% 169.73/170.06 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5919]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25862,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 169.73/170.06 | X0 = X3 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25861]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5908,plain,
% 169.73/170.06 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11105_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25839,plain,
% 169.73/170.06 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5908]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5906,plain,
% 169.73/170.06 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11106_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25835,plain,
% 169.73/170.06 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5906]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5904,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 169.73/170.06 | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11107_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25831,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 169.73/170.06 | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5904]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5901,plain,
% 169.73/170.06 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.73/170.06 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 169.73/170.06 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11108_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25825,plain,
% 169.73/170.06 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.73/170.06 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 169.73/170.06 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5901]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25826,plain,
% 169.73/170.06 ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.73/170.06 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 169.73/170.06 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25825]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5896,plain,
% 169.73/170.06 ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11110_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25815,plain,
% 169.73/170.06 ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5896]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25816,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 169.73/170.06 | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25815]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5893,plain,
% 169.73/170.06 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.73/170.06 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 169.73/170.06 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11111_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25809,plain,
% 169.73/170.06 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.73/170.06 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 169.73/170.06 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5893]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25810,plain,
% 169.73/170.06 ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 169.73/170.06 | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 169.73/170.06 | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25809]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5882,plain,
% 169.73/170.06 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11116_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25787,plain,
% 169.73/170.06 ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5882]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5880,plain,
% 169.73/170.06 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11117_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25783,plain,
% 169.73/170.06 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5880]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25784,plain,
% 169.73/170.06 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.73/170.06 | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25783]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5878,plain,
% 169.73/170.06 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11118_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25779,plain,
% 169.73/170.06 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5878]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25780,plain,
% 169.73/170.06 ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.73/170.06 | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25779]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5876,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 169.73/170.06 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11119_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25775,plain,
% 169.73/170.06 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 169.73/170.06 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5876]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5874,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11120_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25771,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5874]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5868,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.06 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11122_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25759,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.06 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.73/170.06 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5868]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5866,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11123_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25755,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5866]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5863,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.06 | X3 = X4
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X1),c_List_Olist_OCons(X4,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11124_2) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25749,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.06 | X3 = X4
% 169.73/170.06 | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X1),c_List_Olist_OCons(X4,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5863]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25750,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 169.73/170.06 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 169.73/170.06 | X0 = X3 ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25749]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5861,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.73/170.06 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11125_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25745,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.73/170.06 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5861]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25746,plain,
% 169.73/170.06 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.73/170.06 | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25745]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5859,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.73/170.06 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11126_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25741,plain,
% 169.73/170.06 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.73/170.06 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5859]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25742,plain,
% 169.73/170.06 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.73/170.06 | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25741]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5857,plain,
% 169.73/170.06 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 169.73/170.06 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11127_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25737,plain,
% 169.73/170.06 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 169.73/170.06 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5857]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25738,plain,
% 169.73/170.06 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.06 | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25737]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5855,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.73/170.06 | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3)
% 169.73/170.06 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11128_1) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25733,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.73/170.06 | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3)
% 169.73/170.06 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.73/170.06 inference(copy,[status(esa)],[c_5855]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_25734,plain,
% 169.73/170.06 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.73/170.06 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 169.73/170.06 | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3) ),
% 169.73/170.06 inference(rewriting,[status(thm)],[c_25733]) ).
% 169.73/170.06
% 169.73/170.06 cnf(c_5852,plain,
% 169.73/170.06 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.06 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 169.73/170.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11129_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25727,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.07 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5852]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25728,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 169.73/170.07 | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25727]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5850,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 169.73/170.07 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11132_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25723,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 169.73/170.07 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5850]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5841,plain,
% 169.73/170.07 ( c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11135_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25705,plain,
% 169.73/170.07 ( c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5841]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25706,plain,
% 169.73/170.07 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.07 | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25705]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5835,plain,
% 169.73/170.07 ( c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11137_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25693,plain,
% 169.73/170.07 ( c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5835]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25694,plain,
% 169.73/170.07 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.07 | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25693]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5833,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.07 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11139_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25689,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.07 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5833]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5828,plain,
% 169.73/170.07 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 169.73/170.07 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11141_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25679,plain,
% 169.73/170.07 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 169.73/170.07 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5828]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25680,plain,
% 169.73/170.07 ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 169.73/170.07 | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25679]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5826,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.07 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11143_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25675,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 169.73/170.07 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5826]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5823,plain,
% 169.73/170.07 ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.73/170.07 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.73/170.07 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11144_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25669,plain,
% 169.73/170.07 ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.73/170.07 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.73/170.07 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5823]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5817,plain,
% 169.73/170.07 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.73/170.07 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 169.73/170.07 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11146_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25657,plain,
% 169.73/170.07 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.73/170.07 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 169.73/170.07 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5817]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25658,plain,
% 169.73/170.07 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.07 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 169.73/170.07 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25657]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5815,plain,
% 169.73/170.07 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.07 | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2))
% 169.73/170.07 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11147_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25653,plain,
% 169.73/170.07 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.07 | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2))
% 169.73/170.07 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5815]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25654,plain,
% 169.73/170.07 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.07 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 169.73/170.07 | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25653]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5812,plain,
% 169.73/170.07 ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11148_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25647,plain,
% 169.73/170.07 ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5812]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25648,plain,
% 169.73/170.07 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25647]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5810,plain,
% 169.73/170.07 ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11149_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25643,plain,
% 169.73/170.07 ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5810]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25644,plain,
% 169.73/170.07 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25643]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5807,plain,
% 169.73/170.07 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.73/170.07 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11153_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25637,plain,
% 169.73/170.07 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.73/170.07 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5807]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5805,plain,
% 169.73/170.07 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 169.73/170.07 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11158_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25633,plain,
% 169.73/170.07 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 169.73/170.07 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5805]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25634,plain,
% 169.73/170.07 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.07 | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25633]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5803,plain,
% 169.73/170.07 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 169.73/170.07 | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11159_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25629,plain,
% 169.73/170.07 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 169.73/170.07 | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5803]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25630,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 169.73/170.07 | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25629]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5800,plain,
% 169.73/170.07 ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11160_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25623,plain,
% 169.73/170.07 ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5800]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25624,plain,
% 169.73/170.07 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25623]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5798,plain,
% 169.73/170.07 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 169.73/170.07 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11161_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25619,plain,
% 169.73/170.07 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 169.73/170.07 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5798]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25620,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.07 | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25619]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5796,plain,
% 169.73/170.07 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 169.73/170.07 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11162_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25615,plain,
% 169.73/170.07 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 169.73/170.07 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5796]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25616,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.73/170.07 | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25615]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5766,plain,
% 169.73/170.07 ( X0 = c_List_Olist_ONil
% 169.73/170.07 | ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11169_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25555,plain,
% 169.73/170.07 ( X0 = c_List_Olist_ONil
% 169.73/170.07 | ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5766]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25556,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 169.73/170.07 | X0 = c_List_Olist_ONil ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25555]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5764,plain,
% 169.73/170.07 ( X0 = c_List_Olist_ONil
% 169.73/170.07 | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11170_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25551,plain,
% 169.73/170.07 ( X0 = c_List_Olist_ONil
% 169.73/170.07 | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5764]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25552,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 169.73/170.07 | X0 = c_List_Olist_ONil ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25551]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5728,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11180_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25479,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5728]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5726,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 169.73/170.07 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11183_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25475,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 169.73/170.07 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5726]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25476,plain,
% 169.73/170.07 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 169.73/170.07 | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25475]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5724,plain,
% 169.73/170.07 ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
% 169.73/170.07 | ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11184_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25471,plain,
% 169.73/170.07 ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
% 169.73/170.07 | ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5724]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25472,plain,
% 169.73/170.07 ( ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25471]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5722,plain,
% 169.73/170.07 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11185_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25467,plain,
% 169.73/170.07 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5722]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25468,plain,
% 169.73/170.07 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25467]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5720,plain,
% 169.73/170.07 ( c_in(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 169.73/170.07 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11187_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25463,plain,
% 169.73/170.07 ( c_in(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 169.73/170.07 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5720]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5718,plain,
% 169.73/170.07 ( c_in(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 169.73/170.07 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11188_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25459,plain,
% 169.73/170.07 ( c_in(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 169.73/170.07 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5718]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5713,plain,
% 169.73/170.07 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.07 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11191_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25449,plain,
% 169.73/170.07 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.07 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5713]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25450,plain,
% 169.73/170.07 ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.07 | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25449]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5711,plain,
% 169.73/170.07 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11194_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25445,plain,
% 169.73/170.07 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5711]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25446,plain,
% 169.73/170.07 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25445]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5709,plain,
% 169.73/170.07 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11195_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25441,plain,
% 169.73/170.07 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5709]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25442,plain,
% 169.73/170.07 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25441]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5707,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11196_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25437,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5707]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25438,plain,
% 169.73/170.07 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 169.73/170.07 | X1 = X5 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25437]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5705,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11197_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25433,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5705]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25434,plain,
% 169.73/170.07 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 169.73/170.07 | X0 = X4 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25433]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5607,plain,
% 169.73/170.07 ( c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11214_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25237,plain,
% 169.73/170.07 ( c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5607]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5605,plain,
% 169.73/170.07 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 169.73/170.07 | ~ c_in(X0,X4,X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11216_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25233,plain,
% 169.73/170.07 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 169.73/170.07 | ~ c_in(X0,X4,X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5605]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5603,plain,
% 169.73/170.07 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 169.73/170.07 | ~ c_in(X0,X3,X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11217_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25229,plain,
% 169.73/170.07 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 169.73/170.07 | ~ c_in(X0,X3,X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5603]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5497,plain,
% 169.73/170.07 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 169.73/170.07 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11238_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25017,plain,
% 169.73/170.07 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 169.73/170.07 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5497]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25018,plain,
% 169.73/170.07 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.07 | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25017]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5495,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 169.73/170.07 | ~ c_in(X0,X2,X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11239_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25013,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 169.73/170.07 | ~ c_in(X0,X2,X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5495]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5493,plain,
% 169.73/170.07 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.07 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11240_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25009,plain,
% 169.73/170.07 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 169.73/170.07 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5493]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5491,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_List_Olist_OCons(X1,c_List_Otake(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3),X3) = c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11241_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25005,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_List_Olist_OCons(X1,c_List_Otake(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3),X3) = c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5491]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5489,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 169.73/170.07 | ~ c_less(X0,X1,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11242_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25001,plain,
% 169.73/170.07 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 169.73/170.07 | ~ c_less(X0,X1,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5489]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_25002,plain,
% 169.73/170.07 ( ~ c_less(X0,X1,tc_nat)
% 169.73/170.07 | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_25001]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5487,plain,
% 169.73/170.07 ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11243_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24997,plain,
% 169.73/170.07 ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5487]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5485,plain,
% 169.73/170.07 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 169.73/170.07 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11244_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24993,plain,
% 169.73/170.07 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 169.73/170.07 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5485]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24994,plain,
% 169.73/170.07 ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 169.73/170.07 | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24993]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5483,plain,
% 169.73/170.07 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 169.73/170.07 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11245_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24989,plain,
% 169.73/170.07 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 169.73/170.07 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5483]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24990,plain,
% 169.73/170.07 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 169.73/170.07 | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24989]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5479,plain,
% 169.73/170.07 ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_plus(X2,c_div(X0,X1,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11248_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24981,plain,
% 169.73/170.07 ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_plus(X2,c_div(X0,X1,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5479]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24982,plain,
% 169.73/170.07 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.07 | c_div(c_plus(X1,c_times(X0,X2,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24981]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5477,plain,
% 169.73/170.07 ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_plus(X1,c_div(X0,X2,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X2,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11249_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24977,plain,
% 169.73/170.07 ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_plus(X1,c_div(X0,X2,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X2,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5477]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24978,plain,
% 169.73/170.07 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.07 | c_div(c_plus(X1,c_times(X2,X0,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24977]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5474,plain,
% 169.73/170.07 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.73/170.07 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 169.73/170.07 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11253_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24971,plain,
% 169.73/170.07 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.73/170.07 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 169.73/170.07 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5474]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5471,plain,
% 169.73/170.07 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.73/170.07 | ~ c_Relation_Otrans(X0,X2)
% 169.73/170.07 | ~ c_Relation_Otrans(X1,X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11254_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24965,plain,
% 169.73/170.07 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.73/170.07 | ~ c_Relation_Otrans(X0,X2)
% 169.73/170.07 | ~ c_Relation_Otrans(X1,X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5471]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5351,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | c_lessequals(X2,X4,X0)
% 169.73/170.07 | c_lessequals(X2,X1,X0) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11280_0) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24725,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | c_lessequals(X2,X4,X0)
% 169.73/170.07 | c_lessequals(X2,X1,X0) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5351]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5348,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | c_lessequals(X0,X3,X2)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11280_3) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24719,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | c_lessequals(X0,X3,X2)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5348]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24720,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | c_lessequals(X2,X1,X0)
% 169.73/170.07 | c_lessequals(X2,X4,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24719]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5347,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | c_lessequals(X3,X1,X0)
% 169.73/170.07 | c_lessequals(X2,X1,X0) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11281_0) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24717,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | c_lessequals(X3,X1,X0)
% 169.73/170.07 | c_lessequals(X2,X1,X0) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5347]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5344,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | c_lessequals(X3,X1,X2)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11281_3) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24711,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | c_lessequals(X3,X1,X2)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5344]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24712,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | c_lessequals(X2,X1,X0)
% 169.73/170.07 | c_lessequals(X3,X1,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24711]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5316,plain,
% 169.73/170.07 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.07 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11292_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24655,plain,
% 169.73/170.07 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.07 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5316]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24656,plain,
% 169.73/170.07 ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 169.73/170.07 | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24655]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5314,plain,
% 169.73/170.07 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.07 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11293_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24651,plain,
% 169.73/170.07 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.07 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5314]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24652,plain,
% 169.73/170.07 ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 169.73/170.07 | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24651]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5284,plain,
% 169.73/170.07 ( c_minus(c_Suc(c_minus(X0,X1,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X0),c_plus(X1,X2,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11301_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24591,plain,
% 169.73/170.07 ( c_minus(c_Suc(c_minus(X0,X1,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X0),c_plus(X1,X2,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5284]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24592,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | c_minus(c_Suc(c_minus(X1,X0,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X1),c_plus(X0,X2,tc_nat),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24591]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5282,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),c_Suc(X2),tc_nat) = c_minus(X0,c_Suc(c_minus(X2,X1,tc_nat)),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11302_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24587,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),c_Suc(X2),tc_nat) = c_minus(X0,c_Suc(c_minus(X2,X1,tc_nat)),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5282]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24588,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | c_minus(c_plus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_minus(X2,c_Suc(c_minus(X1,X0,tc_nat)),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24587]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5280,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_append(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11303_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24583,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_append(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5280]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24584,plain,
% 169.73/170.07 ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 169.73/170.07 | X1 = X4 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24583]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5278,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_append(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11304_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24579,plain,
% 169.73/170.07 ( X0 = X1
% 169.73/170.07 | c_append(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5278]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24580,plain,
% 169.73/170.07 ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 169.73/170.07 | X0 = X3 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24579]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5276,plain,
% 169.73/170.07 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 169.73/170.07 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11305_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24575,plain,
% 169.73/170.07 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 169.73/170.07 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5276]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24576,plain,
% 169.73/170.07 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.07 | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24575]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5273,plain,
% 169.73/170.07 ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | X1 = c_Numeral_Obit_OB0
% 169.73/170.07 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11308_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24569,plain,
% 169.73/170.07 ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | X1 = c_Numeral_Obit_OB0
% 169.73/170.07 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5273]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24570,plain,
% 169.73/170.07 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | X2 = c_Numeral_Obit_OB0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24569]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5222,plain,
% 169.73/170.07 ( c_less(X0,X1,X2)
% 169.73/170.07 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11320_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24467,plain,
% 169.73/170.07 ( c_less(X0,X1,X2)
% 169.73/170.07 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5222]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24468,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.73/170.07 | c_less(X1,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24467]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5219,plain,
% 169.73/170.07 ( c_less(X0,X1,X2)
% 169.73/170.07 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11321_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24461,plain,
% 169.73/170.07 ( c_less(X0,X1,X2)
% 169.73/170.07 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5219]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24462,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.73/170.07 | c_less(X2,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24461]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5216,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11322_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24455,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5216]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24456,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.73/170.07 | c_lessequals(X1,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24455]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5213,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11323_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24449,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,X2)
% 169.73/170.07 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5213]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24450,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.73/170.07 | c_lessequals(X2,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24449]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5182,plain,
% 169.73/170.07 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11334_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24387,plain,
% 169.73/170.07 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5182]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5180,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11335_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24383,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5180]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24384,plain,
% 169.73/170.07 ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.73/170.07 | c_less(X1,X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24383]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5178,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11336_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24379,plain,
% 169.73/170.07 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5178]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24380,plain,
% 169.73/170.07 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.73/170.07 | c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24379]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5176,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11337_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24375,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5176]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24376,plain,
% 169.73/170.07 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.07 | c_less(X0,X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24375]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5174,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11338_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24371,plain,
% 169.73/170.07 ( c_less(X0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5174]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24372,plain,
% 169.73/170.07 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.07 | c_less(X1,X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24371]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5172,plain,
% 169.73/170.07 ( c_less(c_0,X0,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11341_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24367,plain,
% 169.73/170.07 ( c_less(c_0,X0,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5172]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5170,plain,
% 169.73/170.07 ( c_less(c_0,X0,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11342_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24363,plain,
% 169.73/170.07 ( c_less(c_0,X0,tc_nat)
% 169.73/170.07 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5170]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5142,plain,
% 169.73/170.07 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X3,X0,X2)
% 169.73/170.07 | ~ c_lessequals(X1,X4,X2)
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11348_3) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24307,plain,
% 169.73/170.07 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X3,X0,X2)
% 169.73/170.07 | ~ c_lessequals(X1,X4,X2)
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5142]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24308,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | ~ c_lessequals(X3,X1,X0)
% 169.73/170.07 | ~ c_lessequals(X2,X4,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24307]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5139,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.73/170.07 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11349_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24301,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.73/170.07 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5139]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24302,plain,
% 169.73/170.07 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.07 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 169.73/170.07 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24301]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5137,plain,
% 169.73/170.07 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 169.73/170.07 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11350_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24297,plain,
% 169.73/170.07 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 169.73/170.07 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5137]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24298,plain,
% 169.73/170.07 ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 169.73/170.07 | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24297]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5125,plain,
% 169.73/170.07 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X1,X3,X2),X2)
% 169.73/170.07 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11353_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24273,plain,
% 169.73/170.07 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X1,X3,X2),X2)
% 169.73/170.07 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5125]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24274,plain,
% 169.73/170.07 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.07 | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X3,X1,X2),X2) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24273]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5119,plain,
% 169.73/170.07 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 169.73/170.07 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11355_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24261,plain,
% 169.73/170.07 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 169.73/170.07 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5119]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24262,plain,
% 169.73/170.07 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 169.73/170.07 | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24261]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5027,plain,
% 169.73/170.07 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 169.73/170.07 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11378_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24077,plain,
% 169.73/170.07 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 169.73/170.07 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5027]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24078,plain,
% 169.73/170.07 ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 169.73/170.07 | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24077]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5024,plain,
% 169.73/170.07 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 169.73/170.07 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11379_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24071,plain,
% 169.73/170.07 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 169.73/170.07 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5024]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24072,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.07 | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24071]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5021,plain,
% 169.73/170.07 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X0,X3,X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11383_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24065,plain,
% 169.73/170.07 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(X0,X3,X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5021]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_5015,plain,
% 169.73/170.07 ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11389_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24053,plain,
% 169.73/170.07 ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_5015]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_24054,plain,
% 169.73/170.07 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_24053]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4973,plain,
% 169.73/170.07 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_minus(X2,c_Numeral_Onumber__of(X3,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X3)),X1),X2,X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11398_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23969,plain,
% 169.73/170.07 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_minus(X2,c_Numeral_Onumber__of(X3,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X3)),X1),X2,X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4973]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23970,plain,
% 169.73/170.07 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.07 | c_plus(c_Numeral_Onumber__of(X1,X0),c_minus(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X0),X2,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23969]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4971,plain,
% 169.73/170.07 ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11399_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23965,plain,
% 169.73/170.07 ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
% 169.73/170.07 | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4971]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4960,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11402_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23943,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4960]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4958,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11403_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23939,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4958]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4931,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11409_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23885,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4931]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23886,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23885]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4929,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X2,X1,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11410_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23881,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_lessequals(X2,X1,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4929]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23882,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) = c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23881]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4927,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 169.73/170.07 | ~ c_lessequals(X2,X0,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11411_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23877,plain,
% 169.73/170.07 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 169.73/170.07 | ~ c_lessequals(X2,X0,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4927]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23878,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.07 | c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) = c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23877]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4920,plain,
% 169.73/170.07 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11414_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23863,plain,
% 169.73/170.07 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4920]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23864,plain,
% 169.73/170.07 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.07 | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23863]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4918,plain,
% 169.73/170.07 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11415_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23859,plain,
% 169.73/170.07 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 169.73/170.07 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4918]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23860,plain,
% 169.73/170.07 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.07 | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23859]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4912,plain,
% 169.73/170.07 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 169.73/170.07 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11417_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23847,plain,
% 169.73/170.07 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 169.73/170.07 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4912]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4905,plain,
% 169.73/170.07 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 169.73/170.07 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11419_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23833,plain,
% 169.73/170.07 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 169.73/170.07 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4905]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23834,plain,
% 169.73/170.07 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.73/170.07 | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23833]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4899,plain,
% 169.73/170.07 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11421_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23821,plain,
% 169.73/170.07 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4899]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23822,plain,
% 169.73/170.07 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23821]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4897,plain,
% 169.73/170.07 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11422_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23817,plain,
% 169.73/170.07 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4897]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23818,plain,
% 169.73/170.07 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23817]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4895,plain,
% 169.73/170.07 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11423_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23813,plain,
% 169.73/170.07 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.07 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4895]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23814,plain,
% 169.73/170.07 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23813]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4893,plain,
% 169.73/170.07 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11424_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23809,plain,
% 169.73/170.07 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4893]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4890,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_less(c_0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11425_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23803,plain,
% 169.73/170.07 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.73/170.07 | c_less(c_0,X1,tc_nat)
% 169.73/170.07 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4890]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23804,plain,
% 169.73/170.07 ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.73/170.07 | c_less(c_0,X0,tc_nat)
% 169.73/170.07 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23803]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4888,plain,
% 169.73/170.07 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 169.73/170.07 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11426_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23799,plain,
% 169.73/170.07 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 169.73/170.07 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4888]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23800,plain,
% 169.73/170.07 ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 169.73/170.07 | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23799]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4886,plain,
% 169.73/170.07 ( c_times(c_Numeral_Onumber__of(X0,X1),c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1),X3,X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11427_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23795,plain,
% 169.73/170.07 ( c_times(c_Numeral_Onumber__of(X0,X1),c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1),X3,X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4886]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23796,plain,
% 169.73/170.07 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.07 | c_times(c_Numeral_Onumber__of(X1,X0),c_times(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0),X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23795]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4884,plain,
% 169.73/170.07 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_plus(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1),X3,X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11428_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23791,plain,
% 169.73/170.07 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_plus(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1),X3,X1)
% 169.73/170.07 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4884]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23792,plain,
% 169.73/170.07 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.07 | c_plus(c_Numeral_Onumber__of(X1,X0),c_plus(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0),X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23791]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4858,plain,
% 169.73/170.07 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.07 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11433_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23739,plain,
% 169.73/170.07 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.07 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4858]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23740,plain,
% 169.73/170.07 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23739]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4850,plain,
% 169.73/170.07 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11435_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23723,plain,
% 169.73/170.07 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.07 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4850]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23724,plain,
% 169.73/170.07 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.07 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.73/170.07 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23723]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4845,plain,
% 169.73/170.07 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.07 | ~ c_less(X0,c_0,X1)
% 169.73/170.07 | ~ c_less(X2,c_0,X1)
% 169.73/170.07 | ~ c_less(X2,X0,X1)
% 169.73/170.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11436_4) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23713,plain,
% 169.73/170.07 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.07 | ~ c_less(X0,c_0,X1)
% 169.73/170.07 | ~ c_less(X2,c_0,X1)
% 169.73/170.07 | ~ c_less(X2,X0,X1)
% 169.73/170.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4845]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4835,plain,
% 169.73/170.07 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.07 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.07 | ~ c_less(X0,c_0,X1)
% 169.73/170.07 | ~ c_less(X2,c_0,X1)
% 169.73/170.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11438_4) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23693,plain,
% 169.73/170.07 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.07 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.07 | ~ c_less(X0,c_0,X1)
% 169.73/170.07 | ~ c_less(X2,c_0,X1)
% 169.73/170.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4835]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4830,plain,
% 169.73/170.07 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.07 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.07 | ~ c_less(c_0,X0,X1)
% 169.73/170.07 | ~ c_less(c_0,X2,X1)
% 169.73/170.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11439_4) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23683,plain,
% 169.73/170.07 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.73/170.07 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.07 | ~ c_less(c_0,X0,X1)
% 169.73/170.07 | ~ c_less(c_0,X2,X1)
% 169.73/170.07 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4830]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4828,plain,
% 169.73/170.07 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 169.73/170.07 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11440_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23679,plain,
% 169.73/170.07 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 169.73/170.07 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4828]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23680,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.73/170.07 | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23679]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4826,plain,
% 169.73/170.07 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 169.73/170.07 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11441_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23675,plain,
% 169.73/170.07 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 169.73/170.07 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4826]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23676,plain,
% 169.73/170.07 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.73/170.07 | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23675]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4821,plain,
% 169.73/170.07 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11443_0) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23665,plain,
% 169.73/170.07 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4821]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4819,plain,
% 169.73/170.07 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11443_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23661,plain,
% 169.73/170.07 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4819]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23662,plain,
% 169.73/170.07 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23661]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4816,plain,
% 169.73/170.07 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ c_less(X0,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11444_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23655,plain,
% 169.73/170.07 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ c_less(X0,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4816]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23656,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.73/170.07 | ~ c_less(X1,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23655]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4813,plain,
% 169.73/170.07 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.73/170.07 | ~ c_less(X1,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11445_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23649,plain,
% 169.73/170.07 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.73/170.07 | ~ c_less(X1,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4813]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23650,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.73/170.07 | ~ c_less(X2,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23649]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4810,plain,
% 169.73/170.07 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11446_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23643,plain,
% 169.73/170.07 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.73/170.07 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4810]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23644,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.73/170.07 | ~ c_lessequals(X1,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23643]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4807,plain,
% 169.73/170.07 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.73/170.07 | ~ c_lessequals(X1,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11447_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23637,plain,
% 169.73/170.07 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.73/170.07 | ~ c_lessequals(X1,X3,X2)
% 169.73/170.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4807]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23638,plain,
% 169.73/170.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.73/170.07 | c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.73/170.07 | ~ c_lessequals(X2,X3,X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23637]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4804,plain,
% 169.73/170.07 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X0,X3,tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11448_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23631,plain,
% 169.73/170.07 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X0,X3,tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4804]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4801,plain,
% 169.73/170.07 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.73/170.07 | ~ c_lessequals(X0,X1,tc_set(X3))
% 169.73/170.07 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11449_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23625,plain,
% 169.73/170.07 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.73/170.07 | ~ c_lessequals(X0,X1,tc_set(X3))
% 169.73/170.07 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4801]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4799,plain,
% 169.73/170.07 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11450_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23621,plain,
% 169.73/170.07 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4799]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4797,plain,
% 169.73/170.07 ( c_in(X0,X1,X2)
% 169.73/170.07 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11451_1) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23617,plain,
% 169.73/170.07 ( c_in(X0,X1,X2)
% 169.73/170.07 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4797]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23618,plain,
% 169.73/170.07 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.73/170.07 | c_in(X0,X3,X2) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23617]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4790,plain,
% 169.73/170.07 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.07 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.07 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11455_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23603,plain,
% 169.73/170.07 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.07 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.07 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4790]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4781,plain,
% 169.73/170.07 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11457_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23585,plain,
% 169.73/170.07 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.07 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.07 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4781]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4778,plain,
% 169.73/170.07 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X1,X3,tc_set(X2))
% 169.73/170.07 | ~ c_in(X0,X3,X2) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11458_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23579,plain,
% 169.73/170.07 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.07 | ~ c_lessequals(X1,X3,tc_set(X2))
% 169.73/170.07 | ~ c_in(X0,X3,X2) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4778]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4775,plain,
% 169.73/170.07 ( c_Nat_Opower(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.07 | ~ class_Power_Orecpower(X1)
% 169.73/170.07 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11459_2) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23573,plain,
% 169.73/170.07 ( c_Nat_Opower(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.73/170.07 | ~ class_Power_Orecpower(X1)
% 169.73/170.07 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.07 inference(copy,[status(esa)],[c_4775]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_23574,plain,
% 169.73/170.07 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.07 | ~ class_Power_Orecpower(X0)
% 169.73/170.07 | c_Nat_Opower(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.73/170.07 inference(rewriting,[status(thm)],[c_23573]) ).
% 169.73/170.07
% 169.73/170.07 cnf(c_4774,plain,
% 169.73/170.07 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.07 | c_less(c_0,X1,tc_nat)
% 169.73/170.07 | c_less(c_0,X0,tc_nat) ),
% 169.73/170.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11460_0) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23571,plain,
% 169.73/170.08 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.08 | c_less(c_0,X1,tc_nat)
% 169.73/170.08 | c_less(c_0,X0,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4774]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4772,plain,
% 169.73/170.08 ( c_less(c_0,X0,tc_nat)
% 169.73/170.08 | c_less(c_0,X1,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11460_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23567,plain,
% 169.73/170.08 ( c_less(c_0,X0,tc_nat)
% 169.73/170.08 | c_less(c_0,X1,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4772]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23568,plain,
% 169.73/170.08 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.08 | c_less(c_0,X0,tc_nat)
% 169.73/170.08 | c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23567]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4730,plain,
% 169.73/170.08 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11469_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23483,plain,
% 169.73/170.08 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4730]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4728,plain,
% 169.73/170.08 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11470_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23479,plain,
% 169.73/170.08 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4728]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4726,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_lessequals(X0,X2,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11471_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23475,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_lessequals(X0,X2,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4726]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4724,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11472_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23471,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4724]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4702,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | ~ c_less(X1,X2,X0)
% 169.73/170.08 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 169.73/170.08 | ~ c_less(X3,X1,X0) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11477_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23427,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | ~ c_less(X1,X2,X0)
% 169.73/170.08 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 169.73/170.08 | ~ c_less(X3,X1,X0) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4702]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23428,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | ~ c_less(X1,X2,X0)
% 169.73/170.08 | ~ c_less(X3,X1,X0)
% 169.73/170.08 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23427]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4690,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.08 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 169.73/170.08 | ~ c_lessequals(X3,X1,X0) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11480_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23403,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.08 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 169.73/170.08 | ~ c_lessequals(X3,X1,X0) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4690]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23404,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.08 | ~ c_lessequals(X3,X1,X0)
% 169.73/170.08 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23403]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4684,plain,
% 169.73/170.08 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.73/170.08 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.08 | ~ c_lessequals(X1,X3,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11481_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23391,plain,
% 169.73/170.08 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.73/170.08 | ~ c_lessequals(X0,X3,X2)
% 169.73/170.08 | ~ c_lessequals(X1,X3,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4684]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23392,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.08 | ~ c_lessequals(X1,X3,X0)
% 169.73/170.08 | ~ c_lessequals(X2,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23391]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4680,plain,
% 169.73/170.08 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.73/170.08 | ~ c_lessequals(X0,X1,X3)
% 169.73/170.08 | ~ c_lessequals(X0,X2,X3)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11482_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23383,plain,
% 169.73/170.08 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.73/170.08 | ~ c_lessequals(X0,X1,X3)
% 169.73/170.08 | ~ c_lessequals(X0,X2,X3)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4680]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23384,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.08 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.08 | ~ c_lessequals(X1,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23383]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4676,plain,
% 169.73/170.08 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.73/170.08 | ~ c_less(X0,X1,X3)
% 169.73/170.08 | ~ c_less(X0,X2,X3)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11483_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23375,plain,
% 169.73/170.08 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.73/170.08 | ~ c_less(X0,X1,X3)
% 169.73/170.08 | ~ c_less(X0,X2,X3)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4676]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23376,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.08 | ~ c_less(X1,X2,X0)
% 169.73/170.08 | ~ c_less(X1,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23375]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4672,plain,
% 169.73/170.08 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.73/170.08 | ~ c_less(X0,X3,X2)
% 169.73/170.08 | ~ c_less(X1,X3,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11484_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23367,plain,
% 169.73/170.08 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.73/170.08 | ~ c_less(X0,X3,X2)
% 169.73/170.08 | ~ c_less(X1,X3,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4672]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23368,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.08 | ~ c_less(X1,X3,X0)
% 169.73/170.08 | ~ c_less(X2,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23367]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4670,plain,
% 169.73/170.08 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.08 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11485_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23363,plain,
% 169.73/170.08 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.08 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4670]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23364,plain,
% 169.73/170.08 ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 169.73/170.08 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23363]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4666,plain,
% 169.73/170.08 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11487_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23355,plain,
% 169.73/170.08 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4666]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23356,plain,
% 169.73/170.08 ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23355]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4662,plain,
% 169.73/170.08 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11489_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23347,plain,
% 169.73/170.08 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4662]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23348,plain,
% 169.73/170.08 ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23347]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4639,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 169.73/170.08 | X1 = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11494_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23301,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 169.73/170.08 | X1 = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4639]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23302,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 169.73/170.08 | X2 = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23301]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4635,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 169.73/170.08 | X0 = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11495_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23293,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 169.73/170.08 | X0 = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4635]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23294,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 169.73/170.08 | X1 = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23293]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4633,plain,
% 169.73/170.08 ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1),X1) = c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1)
% 169.73/170.08 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11496_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23289,plain,
% 169.73/170.08 ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1),X1) = c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1)
% 169.73/170.08 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4633]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23290,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.73/170.08 | c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0),X0) = c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23289]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4630,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11497_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23283,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4630]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23284,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23283]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4627,plain,
% 169.73/170.08 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11498_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23277,plain,
% 169.73/170.08 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4627]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23278,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23277]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4623,plain,
% 169.73/170.08 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11499_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23269,plain,
% 169.73/170.08 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4623]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23270,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.08 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.73/170.08 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23269]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4619,plain,
% 169.73/170.08 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11500_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23261,plain,
% 169.73/170.08 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4619]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23262,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.08 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.73/170.08 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23261]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4615,plain,
% 169.73/170.08 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11501_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23253,plain,
% 169.73/170.08 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4615]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23254,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.08 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.08 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23253]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4611,plain,
% 169.73/170.08 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11502_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23245,plain,
% 169.73/170.08 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4611]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23246,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.08 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.08 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23245]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4607,plain,
% 169.73/170.08 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11503_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23237,plain,
% 169.73/170.08 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4607]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23238,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.08 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.73/170.08 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23237]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4601,plain,
% 169.73/170.08 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11505_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23225,plain,
% 169.73/170.08 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4601]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4599,plain,
% 169.73/170.08 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11506_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23221,plain,
% 169.73/170.08 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4599]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4592,plain,
% 169.73/170.08 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11508_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23207,plain,
% 169.73/170.08 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4592]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4590,plain,
% 169.73/170.08 ( c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11509_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23203,plain,
% 169.73/170.08 ( c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4590]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23204,plain,
% 169.73/170.08 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23203]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4588,plain,
% 169.73/170.08 ( c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11510_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23199,plain,
% 169.73/170.08 ( c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4588]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23200,plain,
% 169.73/170.08 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23199]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4586,plain,
% 169.73/170.08 ( c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1)
% 169.73/170.08 | ~ c_List_Odistinct(X0,X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11511_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23195,plain,
% 169.73/170.08 ( c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1)
% 169.73/170.08 | ~ c_List_Odistinct(X0,X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4586]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23196,plain,
% 169.73/170.08 ( ~ c_List_Odistinct(X0,X1)
% 169.73/170.08 | c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23195]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4584,plain,
% 169.73/170.08 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.73/170.08 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11512_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23191,plain,
% 169.73/170.08 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.73/170.08 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4584]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4582,plain,
% 169.73/170.08 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.73/170.08 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11513_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23187,plain,
% 169.73/170.08 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.73/170.08 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4582]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4579,plain,
% 169.73/170.08 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11514_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23181,plain,
% 169.73/170.08 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4579]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4577,plain,
% 169.73/170.08 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 169.73/170.08 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11516_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23177,plain,
% 169.73/170.08 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 169.73/170.08 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4577]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23178,plain,
% 169.73/170.08 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.08 | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23177]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4575,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11517_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23173,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4575]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23174,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23173]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4573,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11518_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23169,plain,
% 169.73/170.08 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4573]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23170,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23169]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4554,plain,
% 169.73/170.08 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.73/170.08 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.08 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11523_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23131,plain,
% 169.73/170.08 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.73/170.08 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.08 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4554]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23132,plain,
% 169.73/170.08 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.08 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 169.73/170.08 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23131]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4552,plain,
% 169.73/170.08 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 169.73/170.08 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11526_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23127,plain,
% 169.73/170.08 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 169.73/170.08 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4552]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4550,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11528_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23123,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4550]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23124,plain,
% 169.73/170.08 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23123]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4547,plain,
% 169.73/170.08 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.08 | X1 = X0
% 169.73/170.08 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11530_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23117,plain,
% 169.73/170.08 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.08 | X1 = X0
% 169.73/170.08 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4547]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23118,plain,
% 169.73/170.08 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.08 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.08 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 169.73/170.08 | X1 = X0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23117]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4542,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11532_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23107,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4542]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23108,plain,
% 169.73/170.08 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.08 | c_lessequals(X1,X3,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23107]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4540,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11533_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23103,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4540]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23104,plain,
% 169.73/170.08 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.08 | c_lessequals(X1,X3,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23103]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4538,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11534_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23099,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4538]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23100,plain,
% 169.73/170.08 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.73/170.08 | c_lessequals(X0,X3,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23099]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4536,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11535_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23095,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4536]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23096,plain,
% 169.73/170.08 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.73/170.08 | c_lessequals(X0,X2,tc_set(X3)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23095]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4534,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11536_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23091,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4534]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23092,plain,
% 169.73/170.08 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.73/170.08 | c_lessequals(X0,X1,tc_set(X3)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23091]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4529,plain,
% 169.73/170.08 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11543_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23081,plain,
% 169.73/170.08 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4529]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23082,plain,
% 169.73/170.08 ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23081]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4527,plain,
% 169.73/170.08 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11544_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23077,plain,
% 169.73/170.08 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4527]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23078,plain,
% 169.73/170.08 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23077]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4525,plain,
% 169.73/170.08 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11545_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23073,plain,
% 169.73/170.08 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4525]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23074,plain,
% 169.73/170.08 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23073]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4523,plain,
% 169.73/170.08 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.08 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11546_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23069,plain,
% 169.73/170.08 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.08 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4523]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23070,plain,
% 169.73/170.08 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X1,tc_nat)
% 169.73/170.08 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23069]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4513,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11553_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23049,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4513]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23050,plain,
% 169.73/170.08 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23049]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4510,plain,
% 169.73/170.08 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11554_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23043,plain,
% 169.73/170.08 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4510]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4507,plain,
% 169.73/170.08 ( c_in(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 169.73/170.08 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11555_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23037,plain,
% 169.73/170.08 ( c_in(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 169.73/170.08 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4507]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23038,plain,
% 169.73/170.08 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.73/170.08 | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 169.73/170.08 | c_in(X3,X1,X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23037]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4505,plain,
% 169.73/170.08 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.08 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11556_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23033,plain,
% 169.73/170.08 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.08 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4505]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23034,plain,
% 169.73/170.08 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23033]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4502,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11557_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23027,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4502]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23028,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_less(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23027]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4499,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11558_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23021,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4499]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23022,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_less(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23021]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4496,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11559_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23015,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4496]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23016,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_lessequals(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23015]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4493,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11560_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23009,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4493]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23010,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_less(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23009]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4490,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11561_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23003,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4490]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_23004,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_less(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_23003]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4487,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11562_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22997,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4487]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22998,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_lessequals(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22997]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4484,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11563_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22991,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4484]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22992,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_lessequals(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22991]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4481,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11564_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22985,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4481]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22986,plain,
% 169.73/170.08 ( ~ class_Orderings_Oord(X0)
% 169.73/170.08 | c_lessequals(X1,X2,X0)
% 169.73/170.08 | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22985]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4478,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11565_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22979,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4478]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22980,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.08 | c_lessequals(X2,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22979]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4475,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11566_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22973,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4475]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22974,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.08 | c_lessequals(X1,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22973]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4472,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11567_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22967,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4472]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22968,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.08 | c_lessequals(X1,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22967]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4469,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11568_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22961,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4469]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22962,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.08 | c_lessequals(X1,X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22961]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4466,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11569_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22955,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4466]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22956,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.08 | c_less(X1,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22955]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4463,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11570_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22949,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4463]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22950,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.73/170.08 | c_less(X1,X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22949]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4460,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11571_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22943,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4460]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22944,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.08 | c_less(X2,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22943]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4457,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11572_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22937,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4457]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22938,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.73/170.08 | c_less(X1,X3,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22937]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4454,plain,
% 169.73/170.08 ( c_minus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_minus(X0,X2,tc_nat),X1)
% 169.73/170.08 | ~ c_lessequals(X2,X0,tc_nat)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11573_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22931,plain,
% 169.73/170.08 ( c_minus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_minus(X0,X2,tc_nat),X1)
% 169.73/170.08 | ~ c_lessequals(X2,X0,tc_nat)
% 169.73/170.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4454]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22932,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.08 | ~ c_lessequals(X1,X2,tc_nat)
% 169.73/170.08 | c_minus(c_NatArith_Oof__nat(X2,X0),c_NatArith_Oof__nat(X1,X0),X0) = c_NatArith_Oof__nat(c_minus(X2,X1,tc_nat),X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22931]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4451,plain,
% 169.73/170.08 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 169.73/170.08 | c_in(X0,X2,X3)
% 169.73/170.08 | ~ c_in(X0,X1,X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11574_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22925,plain,
% 169.73/170.08 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 169.73/170.08 | c_in(X0,X2,X3)
% 169.73/170.08 | ~ c_in(X0,X1,X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4451]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4449,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11575_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22921,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4449]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4415,plain,
% 169.73/170.08 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,X3,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11584_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22853,plain,
% 169.73/170.08 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,X3,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4415]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22854,plain,
% 169.73/170.08 ( ~ c_in(X0,X1,X2)
% 169.73/170.08 | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22853]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4404,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11587_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22831,plain,
% 169.73/170.08 ( c_less(X0,X1,X2)
% 169.73/170.08 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4404]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22832,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.08 | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 169.73/170.08 | c_less(X1,X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22831]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4401,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11588_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22825,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4401]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22826,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.08 | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 169.73/170.08 | c_lessequals(X1,X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22825]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4399,plain,
% 169.73/170.08 ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X0,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 169.73/170.08 | X1 = c_0 ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11590_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22821,plain,
% 169.73/170.08 ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X0,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 169.73/170.08 | X1 = c_0 ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4399]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4397,plain,
% 169.73/170.08 ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 169.73/170.08 | X0 = c_0 ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11591_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22817,plain,
% 169.73/170.08 ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 169.73/170.08 | X0 = c_0 ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4397]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4391,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.08 | c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11593_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22805,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.73/170.08 | c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4391]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4389,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | c_less(c_0,X0,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11594_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22801,plain,
% 169.73/170.08 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.73/170.08 | c_less(c_0,X0,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4389]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4386,plain,
% 169.73/170.08 ( c_lessequals(c_0,X0,X1)
% 169.73/170.08 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.73/170.08 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11595_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22795,plain,
% 169.73/170.08 ( c_lessequals(c_0,X0,X1)
% 169.73/170.08 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.73/170.08 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4386]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22796,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.08 | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 169.73/170.08 | c_lessequals(c_0,X1,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22795]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4383,plain,
% 169.73/170.08 ( c_lessequals(X0,c_0,X1)
% 169.73/170.08 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.08 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11596_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22789,plain,
% 169.73/170.08 ( c_lessequals(X0,c_0,X1)
% 169.73/170.08 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.08 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4383]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22790,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.08 | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 169.73/170.08 | c_lessequals(X1,c_0,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22789]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4380,plain,
% 169.73/170.08 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11597_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22783,plain,
% 169.73/170.08 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4380]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22784,plain,
% 169.73/170.08 ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22783]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4377,plain,
% 169.73/170.08 ( X0 = X1
% 169.73/170.08 | c_List_Oop_Amem(X1,X2,X3)
% 169.73/170.08 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11598_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22777,plain,
% 169.73/170.08 ( X0 = X1
% 169.73/170.08 | c_List_Oop_Amem(X1,X2,X3)
% 169.73/170.08 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4377]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22778,plain,
% 169.73/170.08 ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 169.73/170.08 | c_List_Oop_Amem(X0,X2,X3)
% 169.73/170.08 | X1 = X0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22777]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4370,plain,
% 169.73/170.08 ( c_inter(X0,X1,X2) = c_emptyset
% 169.73/170.08 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11601_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22763,plain,
% 169.73/170.08 ( c_inter(X0,X1,X2) = c_emptyset
% 169.73/170.08 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4370]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22764,plain,
% 169.73/170.08 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 169.73/170.08 | c_inter(X1,X3,X2) = c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22763]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4366,plain,
% 169.73/170.08 ( c_inter(X0,X1,X2) = c_emptyset
% 169.73/170.08 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11603_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22755,plain,
% 169.73/170.08 ( c_inter(X0,X1,X2) = c_emptyset
% 169.73/170.08 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4366]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22756,plain,
% 169.73/170.08 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 169.73/170.08 | c_inter(X0,X2,X3) = c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22755]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4364,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11604_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22751,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4364]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22752,plain,
% 169.73/170.08 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22751]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4362,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11605_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22747,plain,
% 169.73/170.08 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4362]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22748,plain,
% 169.73/170.08 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22747]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4360,plain,
% 169.73/170.08 ( X0 = c_0
% 169.73/170.08 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11606_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22743,plain,
% 169.73/170.08 ( X0 = c_0
% 169.73/170.08 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4360]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22744,plain,
% 169.73/170.08 ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | X0 = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22743]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4357,plain,
% 169.73/170.08 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.08 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.73/170.08 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11608_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22737,plain,
% 169.73/170.08 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 169.73/170.08 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.73/170.08 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4357]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22738,plain,
% 169.73/170.08 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.08 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 169.73/170.08 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22737]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4350,plain,
% 169.73/170.08 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11611_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22723,plain,
% 169.73/170.08 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4350]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22724,plain,
% 169.73/170.08 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22723]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4342,plain,
% 169.73/170.08 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 169.73/170.08 | X1 = c_emptyset
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11614_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22707,plain,
% 169.73/170.08 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 169.73/170.08 | X1 = c_emptyset
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4342]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22708,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.08 | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0)
% 169.73/170.08 | X1 = c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22707]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4338,plain,
% 169.73/170.08 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 169.73/170.08 | X1 = c_emptyset
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11615_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22699,plain,
% 169.73/170.08 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 169.73/170.08 | X1 = c_emptyset
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4338]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22700,plain,
% 169.73/170.08 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.73/170.08 | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0)
% 169.73/170.08 | X1 = c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22699]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4320,plain,
% 169.73/170.08 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 169.73/170.08 | ~ c_less(X3,X0,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11621_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22663,plain,
% 169.73/170.08 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 169.73/170.08 | ~ c_less(X3,X0,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4320]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22664,plain,
% 169.73/170.08 ( ~ c_less(X0,X1,tc_nat)
% 169.73/170.08 | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22663]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4317,plain,
% 169.73/170.08 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 169.73/170.08 | c_in(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11622_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22657,plain,
% 169.73/170.08 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 169.73/170.08 | c_in(X0,X1,X2)
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4317]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22658,plain,
% 169.73/170.08 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | c_in(X2,X0,X1)
% 169.73/170.08 | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22657]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4311,plain,
% 169.73/170.08 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11624_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22645,plain,
% 169.73/170.08 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4311]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22646,plain,
% 169.73/170.08 ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22645]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4309,plain,
% 169.73/170.08 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 169.73/170.08 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11625_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22641,plain,
% 169.73/170.08 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 169.73/170.08 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4309]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22642,plain,
% 169.73/170.08 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.73/170.08 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22641]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4307,plain,
% 169.73/170.08 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 169.73/170.08 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11626_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22637,plain,
% 169.73/170.08 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 169.73/170.08 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4307]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22638,plain,
% 169.73/170.08 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.08 | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22637]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4305,plain,
% 169.73/170.08 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11627_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22633,plain,
% 169.73/170.08 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4305]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22634,plain,
% 169.73/170.08 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22633]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4303,plain,
% 169.73/170.08 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11628_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22629,plain,
% 169.73/170.08 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4303]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22630,plain,
% 169.73/170.08 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22629]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4301,plain,
% 169.73/170.08 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.73/170.08 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11629_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22625,plain,
% 169.73/170.08 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.73/170.08 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4301]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22626,plain,
% 169.73/170.08 ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_less(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22625]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4299,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.73/170.08 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11630_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22621,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.73/170.08 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4299]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4297,plain,
% 169.73/170.08 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11631_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22617,plain,
% 169.73/170.08 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4297]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4295,plain,
% 169.73/170.08 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11632_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22613,plain,
% 169.73/170.08 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4295]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4285,plain,
% 169.73/170.08 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 169.73/170.08 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11635_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22593,plain,
% 169.73/170.08 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 169.73/170.08 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4285]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22594,plain,
% 169.73/170.08 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 169.73/170.08 | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22593]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4283,plain,
% 169.73/170.08 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1)
% 169.73/170.08 | ~ c_in(c_0,X2,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11636_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22589,plain,
% 169.73/170.08 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1)
% 169.73/170.08 | ~ c_in(c_0,X2,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4283]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22590,plain,
% 169.73/170.08 ( ~ c_in(c_0,X0,tc_nat)
% 169.73/170.08 | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22589]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4277,plain,
% 169.73/170.08 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11640_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22577,plain,
% 169.73/170.08 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4277]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22578,plain,
% 169.73/170.08 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 169.73/170.08 | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22577]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4275,plain,
% 169.73/170.08 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11641_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22573,plain,
% 169.73/170.08 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 169.73/170.08 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4275]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22574,plain,
% 169.73/170.08 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 169.73/170.08 | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22573]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4267,plain,
% 169.73/170.08 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11643_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22557,plain,
% 169.73/170.08 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.08 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4267]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4265,plain,
% 169.73/170.08 ( c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1))
% 169.73/170.08 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11644_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22553,plain,
% 169.73/170.08 ( c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1))
% 169.73/170.08 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4265]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22554,plain,
% 169.73/170.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.08 | c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22553]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4263,plain,
% 169.73/170.08 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 169.73/170.08 | c_in(X1,X0,X3) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11645_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22549,plain,
% 169.73/170.08 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 169.73/170.08 | c_in(X1,X0,X3) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4263]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22550,plain,
% 169.73/170.08 ( c_in(X0,X1,X2)
% 169.73/170.08 | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22549]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4261,plain,
% 169.73/170.08 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11646_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22545,plain,
% 169.73/170.08 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.73/170.08 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4261]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4259,plain,
% 169.73/170.08 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.08 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11647_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22541,plain,
% 169.73/170.08 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.08 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4259]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22542,plain,
% 169.73/170.08 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.08 | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22541]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4257,plain,
% 169.73/170.08 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 169.73/170.08 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11648_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22537,plain,
% 169.73/170.08 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 169.73/170.08 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4257]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22538,plain,
% 169.73/170.08 ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22537]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4255,plain,
% 169.73/170.08 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.73/170.08 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11649_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22533,plain,
% 169.73/170.08 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.73/170.08 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4255]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22534,plain,
% 169.73/170.08 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.73/170.08 | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22533]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4245,plain,
% 169.73/170.08 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 169.73/170.08 | X0 = c_0 ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11652_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22513,plain,
% 169.73/170.08 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 169.73/170.08 | X0 = c_0 ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4245]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4243,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11653_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22509,plain,
% 169.73/170.08 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.08 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4243]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22510,plain,
% 169.73/170.08 ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 169.73/170.08 | c_lessequals(X2,X0,tc_set(X1)) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22509]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4240,plain,
% 169.73/170.08 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11654_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22503,plain,
% 169.73/170.08 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4240]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22504,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22503]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4237,plain,
% 169.73/170.08 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11655_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22497,plain,
% 169.73/170.08 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4237]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22498,plain,
% 169.73/170.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22497]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4218,plain,
% 169.73/170.08 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 169.73/170.08 | c_Numeral_Onumber__of(X1,X2) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.08 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11659_4) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22459,plain,
% 169.73/170.08 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 169.73/170.08 | c_Numeral_Onumber__of(X1,X2) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.73/170.08 | ~ class_Numeral_Onumber(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4218]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22460,plain,
% 169.73/170.08 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_Numeral_Onumber__of(X1,X0) = c_0
% 169.73/170.08 | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22459]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4213,plain,
% 169.73/170.08 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.73/170.08 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.08 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11660_4) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22449,plain,
% 169.73/170.08 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.73/170.08 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.08 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4213]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22450,plain,
% 169.73/170.08 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_Numeral_Onumber__of(X1,X0) = c_0
% 169.73/170.08 | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22449]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4211,plain,
% 169.73/170.08 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 169.73/170.08 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11661_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22445,plain,
% 169.73/170.08 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 169.73/170.08 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4211]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4200,plain,
% 169.73/170.08 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11664_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22423,plain,
% 169.73/170.08 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4200]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4171,plain,
% 169.73/170.08 ( c_in(X0,c_Union(X1,X2),X2)
% 169.73/170.08 | ~ c_in(X3,X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,X3,X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11672_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22365,plain,
% 169.73/170.08 ( c_in(X0,c_Union(X1,X2),X2)
% 169.73/170.08 | ~ c_in(X3,X1,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,X3,X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4171]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4169,plain,
% 169.73/170.08 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11673_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22361,plain,
% 169.73/170.08 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 169.73/170.08 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4169]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22362,plain,
% 169.73/170.08 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.73/170.08 | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22361]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4164,plain,
% 169.73/170.08 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11675_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22351,plain,
% 169.73/170.08 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4164]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4162,plain,
% 169.73/170.08 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11676_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22347,plain,
% 169.73/170.08 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4162]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4160,plain,
% 169.73/170.08 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11677_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22343,plain,
% 169.73/170.08 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.73/170.08 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4160]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4158,plain,
% 169.73/170.08 ( c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3)
% 169.73/170.08 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11678_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22339,plain,
% 169.73/170.08 ( c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3)
% 169.73/170.08 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4158]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22340,plain,
% 169.73/170.08 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.73/170.08 | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22339]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4146,plain,
% 169.73/170.08 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.08 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11681_3) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22315,plain,
% 169.73/170.08 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.73/170.08 | ~ class_Numeral_Onumber(X1) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4146]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22316,plain,
% 169.73/170.08 ( ~ class_Numeral_Onumber(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.08 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.08 | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22315]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4124,plain,
% 169.73/170.08 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11690_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22271,plain,
% 169.73/170.08 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4124]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4122,plain,
% 169.73/170.08 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.08 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11691_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22267,plain,
% 169.73/170.08 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.08 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4122]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22268,plain,
% 169.73/170.08 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22267]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4120,plain,
% 169.73/170.08 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11692_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22263,plain,
% 169.73/170.08 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4120]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4118,plain,
% 169.73/170.08 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 169.73/170.08 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11693_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22259,plain,
% 169.73/170.08 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 169.73/170.08 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4118]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22260,plain,
% 169.73/170.08 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.08 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22259]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4115,plain,
% 169.73/170.08 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ c_less(X0,X1,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11694_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22253,plain,
% 169.73/170.08 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ c_less(X0,X1,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4115]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22254,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.08 | c_less(c_minus(X1,X2,X0),c_0,X0)
% 169.73/170.08 | ~ c_less(X1,X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22253]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4112,plain,
% 169.73/170.08 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11695_2) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22247,plain,
% 169.73/170.08 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.73/170.08 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4112]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22248,plain,
% 169.73/170.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.08 | c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 169.73/170.08 | ~ c_lessequals(X1,X2,X0) ),
% 169.73/170.08 inference(rewriting,[status(thm)],[c_22247]) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_4110,plain,
% 169.73/170.08 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 169.73/170.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11696_1) ).
% 169.73/170.08
% 169.73/170.08 cnf(c_22243,plain,
% 169.73/170.08 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 169.73/170.08 inference(copy,[status(esa)],[c_4110]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22244,plain,
% 169.73/170.09 ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22243]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4103,plain,
% 169.73/170.09 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.73/170.09 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11698_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22229,plain,
% 169.73/170.09 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.73/170.09 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4103]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22230,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.09 | c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 169.73/170.09 | ~ c_lessequals(c_0,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22229]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4100,plain,
% 169.73/170.09 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.09 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11699_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22223,plain,
% 169.73/170.09 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.73/170.09 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4100]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22224,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.09 | c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 169.73/170.09 | ~ c_lessequals(X1,c_0,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22223]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4098,plain,
% 169.73/170.09 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11700_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22219,plain,
% 169.73/170.09 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4098]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22220,plain,
% 169.73/170.09 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.09 | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22219]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4096,plain,
% 169.73/170.09 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 169.73/170.09 | ~ class_Orderings_Oorder(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11701_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22215,plain,
% 169.73/170.09 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 169.73/170.09 | ~ class_Orderings_Oorder(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4096]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22216,plain,
% 169.73/170.09 ( ~ class_Orderings_Oorder(X0)
% 169.73/170.09 | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22215]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4090,plain,
% 169.73/170.09 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.09 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11703_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22203,plain,
% 169.73/170.09 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.09 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4090]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4088,plain,
% 169.73/170.09 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.09 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11704_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22199,plain,
% 169.73/170.09 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 169.73/170.09 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4088]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4086,plain,
% 169.73/170.09 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11705_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22195,plain,
% 169.73/170.09 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4086]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4084,plain,
% 169.73/170.09 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11706_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22191,plain,
% 169.73/170.09 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4084]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4082,plain,
% 169.73/170.09 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11707_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22187,plain,
% 169.73/170.09 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4082]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4080,plain,
% 169.73/170.09 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 169.73/170.09 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11708_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22183,plain,
% 169.73/170.09 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 169.73/170.09 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4080]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4078,plain,
% 169.73/170.09 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 169.73/170.09 | ~ c_less(X3,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11723_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22179,plain,
% 169.73/170.09 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 169.73/170.09 | ~ c_less(X3,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4078]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22180,plain,
% 169.73/170.09 ( ~ c_less(X0,X1,tc_nat)
% 169.73/170.09 | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22179]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4072,plain,
% 169.73/170.09 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 169.73/170.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11728_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22167,plain,
% 169.73/170.09 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 169.73/170.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4072]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22168,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.09 | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22167]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4070,plain,
% 169.73/170.09 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11729_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22163,plain,
% 169.73/170.09 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4070]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22164,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.09 | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22163]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4068,plain,
% 169.73/170.09 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11730_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22159,plain,
% 169.73/170.09 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4068]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22160,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.73/170.09 | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22159]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4065,plain,
% 169.73/170.09 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11731_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22153,plain,
% 169.73/170.09 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4065]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22154,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22153]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4062,plain,
% 169.73/170.09 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11732_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22147,plain,
% 169.73/170.09 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4062]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22148,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.73/170.09 | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22147]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4058,plain,
% 169.73/170.09 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11734_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22139,plain,
% 169.73/170.09 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4058]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22140,plain,
% 169.73/170.09 ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22139]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4051,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11738_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22125,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4051]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22126,plain,
% 169.73/170.09 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 169.73/170.09 | c_lessequals(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22125]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4048,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11739_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22119,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4048]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22120,plain,
% 169.73/170.09 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 169.73/170.09 | c_lessequals(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22119]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4045,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Oorder(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11740_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22113,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Oorder(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4045]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22114,plain,
% 169.73/170.09 ( ~ class_Orderings_Oorder(X0)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 169.73/170.09 | c_lessequals(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22113]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4042,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Oorder(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11741_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22107,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 169.73/170.09 | ~ class_Orderings_Oorder(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4042]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22108,plain,
% 169.73/170.09 ( ~ class_Orderings_Oorder(X0)
% 169.73/170.09 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 169.73/170.09 | c_lessequals(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22107]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4040,plain,
% 169.73/170.09 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11742_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22103,plain,
% 169.73/170.09 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4040]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4038,plain,
% 169.73/170.09 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11744_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22099,plain,
% 169.73/170.09 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4038]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22100,plain,
% 169.73/170.09 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22099]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4036,plain,
% 169.73/170.09 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11745_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22095,plain,
% 169.73/170.09 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4036]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22096,plain,
% 169.73/170.09 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22095]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4034,plain,
% 169.73/170.09 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 169.73/170.09 | X0 = c_List_Olist_ONil ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11746_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22091,plain,
% 169.73/170.09 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 169.73/170.09 | X0 = c_List_Olist_ONil ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4034]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4032,plain,
% 169.73/170.09 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11747_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22087,plain,
% 169.73/170.09 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4032]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22088,plain,
% 169.73/170.09 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.09 | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22087]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4030,plain,
% 169.73/170.09 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11748_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22083,plain,
% 169.73/170.09 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4030]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22084,plain,
% 169.73/170.09 ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 169.73/170.09 | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22083]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4028,plain,
% 169.73/170.09 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11749_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22079,plain,
% 169.73/170.09 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4028]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22080,plain,
% 169.73/170.09 ( ~ c_less(c_0,X0,tc_nat)
% 169.73/170.09 | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22079]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4026,plain,
% 169.73/170.09 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11750_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22075,plain,
% 169.73/170.09 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4026]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4024,plain,
% 169.73/170.09 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11751_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22071,plain,
% 169.73/170.09 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4024]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4022,plain,
% 169.73/170.09 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11752_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22067,plain,
% 169.73/170.09 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4022]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22068,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.73/170.09 | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22067]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4015,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.73/170.09 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11754_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22053,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.73/170.09 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4015]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22054,plain,
% 169.73/170.09 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.09 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 169.73/170.09 | X0 = X2 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22053]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4012,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.73/170.09 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11755_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22047,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.73/170.09 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4012]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22048,plain,
% 169.73/170.09 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.09 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 169.73/170.09 | X3 = X4 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22047]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4009,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.73/170.09 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11756_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22041,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.73/170.09 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4009]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22042,plain,
% 169.73/170.09 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.09 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 169.73/170.09 | X3 = X4 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22041]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4006,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.73/170.09 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11757_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22035,plain,
% 169.73/170.09 ( X0 = X1
% 169.73/170.09 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.73/170.09 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4006]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22036,plain,
% 169.73/170.09 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.73/170.09 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 169.73/170.09 | X0 = X2 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22035]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4004,plain,
% 169.73/170.09 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11758_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22031,plain,
% 169.73/170.09 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4004]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4002,plain,
% 169.73/170.09 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11759_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22027,plain,
% 169.73/170.09 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4002]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_4000,plain,
% 169.73/170.09 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11760_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22023,plain,
% 169.73/170.09 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_4000]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3998,plain,
% 169.73/170.09 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11761_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22019,plain,
% 169.73/170.09 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3998]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3993,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11763_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22009,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3993]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22010,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22009]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3991,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11764_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22005,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3991]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22006,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.09 | c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22005]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3989,plain,
% 169.73/170.09 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11765_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22001,plain,
% 169.73/170.09 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3989]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_22002,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.09 | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_22001]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3987,plain,
% 169.73/170.09 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11766_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21997,plain,
% 169.73/170.09 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3987]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21998,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.09 | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21997]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3985,plain,
% 169.73/170.09 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11767_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21993,plain,
% 169.73/170.09 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3985]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21994,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.73/170.09 | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21993]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3983,plain,
% 169.73/170.09 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 169.73/170.09 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11768_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21989,plain,
% 169.73/170.09 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 169.73/170.09 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3983]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3981,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11771_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21985,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3981]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3979,plain,
% 169.73/170.09 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11772_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21981,plain,
% 169.73/170.09 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3979]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3977,plain,
% 169.73/170.09 ( c_times(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1),X2,X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11773_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21977,plain,
% 169.73/170.09 ( c_times(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1),X2,X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3977]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21978,plain,
% 169.73/170.09 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.09 | c_times(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0),X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21977]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3975,plain,
% 169.73/170.09 ( c_times(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_times(X0,X2,tc_nat),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11775_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21973,plain,
% 169.73/170.09 ( c_times(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_times(X0,X2,tc_nat),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3975]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21974,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.09 | c_times(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21973]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3973,plain,
% 169.73/170.09 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_plus(X0,X2,tc_nat),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11776_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21969,plain,
% 169.73/170.09 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_plus(X0,X2,tc_nat),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3973]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21970,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.73/170.09 | c_plus(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21969]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3971,plain,
% 169.73/170.09 ( c_times(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_times(X0,X2,tc_IntDef_Oint),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11777_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21965,plain,
% 169.73/170.09 ( c_times(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_times(X0,X2,tc_IntDef_Oint),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3971]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21966,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.09 | c_times(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21965]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3969,plain,
% 169.73/170.09 ( c_minus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_minus(X0,X2,tc_IntDef_Oint),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11778_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21961,plain,
% 169.73/170.09 ( c_minus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_minus(X0,X2,tc_IntDef_Oint),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3969]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21962,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.09 | c_minus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21961]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3967,plain,
% 169.73/170.09 ( c_plus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_plus(X0,X2,tc_IntDef_Oint),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11779_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21957,plain,
% 169.73/170.09 ( c_plus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_plus(X0,X2,tc_IntDef_Oint),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3967]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21958,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.09 | c_plus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21957]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3964,plain,
% 169.73/170.09 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.09 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11780_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21951,plain,
% 169.73/170.09 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.09 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3964]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3957,plain,
% 169.73/170.09 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 169.73/170.09 | X0 = c_0
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11782_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21937,plain,
% 169.73/170.09 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 169.73/170.09 | X0 = c_0
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3957]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21938,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 169.73/170.09 | X1 = c_0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21937]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3953,plain,
% 169.73/170.09 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 169.73/170.09 | X0 = c_0
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11783_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21929,plain,
% 169.73/170.09 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 169.73/170.09 | X0 = c_0
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3953]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21930,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 169.73/170.09 | X1 = c_0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21929]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3950,plain,
% 169.73/170.09 ( c_less(X0,X1,X2)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11784_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21923,plain,
% 169.73/170.09 ( c_less(X0,X1,X2)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3950]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21924,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.09 | c_less(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21923]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3947,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11785_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21917,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3947]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21918,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.09 | c_lessequals(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21917]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3945,plain,
% 169.73/170.09 ( c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.09 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11787_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21913,plain,
% 169.73/170.09 ( c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.73/170.09 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3945]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21914,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21913]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3938,plain,
% 169.73/170.09 ( c_less(X0,X1,tc_nat)
% 169.73/170.09 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11789_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21899,plain,
% 169.73/170.09 ( c_less(X0,X1,tc_nat)
% 169.73/170.09 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3938]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21900,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.09 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.73/170.09 | c_less(X1,X2,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21899]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3935,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.09 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11790_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21893,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.09 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3935]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21894,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.09 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.73/170.09 | c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21893]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3932,plain,
% 169.73/170.09 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11791_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21887,plain,
% 169.73/170.09 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3932]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21888,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.09 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.73/170.09 | c_less(X1,X2,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21887]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3929,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11792_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21881,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3929]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21882,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.09 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.73/170.09 | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21881]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3919,plain,
% 169.73/170.09 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.09 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11799_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21861,plain,
% 169.73/170.09 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.09 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3919]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21862,plain,
% 169.73/170.09 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.09 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 169.73/170.09 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21861]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3909,plain,
% 169.73/170.09 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11804_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21841,plain,
% 169.73/170.09 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3909]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3907,plain,
% 169.73/170.09 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11805_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21837,plain,
% 169.73/170.09 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3907]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21838,plain,
% 169.73/170.09 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.09 | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21837]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3905,plain,
% 169.73/170.09 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11806_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21833,plain,
% 169.73/170.09 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3905]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21834,plain,
% 169.73/170.09 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.09 | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21833]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3903,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.09 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11807_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21829,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.09 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3903]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3901,plain,
% 169.73/170.09 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.73/170.09 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11811_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21825,plain,
% 169.73/170.09 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.73/170.09 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3901]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3894,plain,
% 169.73/170.09 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 169.73/170.09 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11814_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21811,plain,
% 169.73/170.09 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 169.73/170.09 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3894]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21812,plain,
% 169.73/170.09 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.09 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 169.73/170.09 | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21811]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3886,plain,
% 169.73/170.09 ( c_minus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11819_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21795,plain,
% 169.73/170.09 ( c_minus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3886]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21796,plain,
% 169.73/170.09 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.09 | c_minus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21795]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3882,plain,
% 169.73/170.09 ( c_less(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ class_HOL_Oone(X0) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11820_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21787,plain,
% 169.73/170.09 ( c_less(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ class_HOL_Oone(X0) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3882]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21788,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_less(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X0),c_1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21787]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3878,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ class_HOL_Oone(X0) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11821_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21779,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ class_HOL_Oone(X0) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3878]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21780,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21779]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3874,plain,
% 169.73/170.09 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11822_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21771,plain,
% 169.73/170.09 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3874]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21772,plain,
% 169.73/170.09 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21771]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3870,plain,
% 169.73/170.09 ( c_less(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11823_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21763,plain,
% 169.73/170.09 ( c_less(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3870]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21764,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 169.73/170.09 | c_less(X1,c_uminus(c_1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21763]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3866,plain,
% 169.73/170.09 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11824_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21755,plain,
% 169.73/170.09 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3866]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21756,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 169.73/170.09 | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21755]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3844,plain,
% 169.73/170.09 ( c_less(c_uminus(X0,X1),c_1,X1)
% 169.73/170.09 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11831_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21711,plain,
% 169.73/170.09 ( c_less(c_uminus(X0,X1),c_1,X1)
% 169.73/170.09 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3844]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21712,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | c_less(c_uminus(X1,X0),c_1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21711]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3840,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 169.73/170.09 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11832_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21703,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 169.73/170.09 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3840]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21704,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.73/170.09 | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21703]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3836,plain,
% 169.73/170.09 ( c_less(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11833_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21695,plain,
% 169.73/170.09 ( c_less(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3836]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21696,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_less(c_1,c_uminus(X1,X0),X0)
% 169.73/170.09 | ~ c_less(X1,c_uminus(c_1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21695]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3832,plain,
% 169.73/170.09 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11834_3) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21687,plain,
% 169.73/170.09 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.73/170.09 | ~ class_HOL_Oone(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3832]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21688,plain,
% 169.73/170.09 ( ~ class_HOL_Oone(X0)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_lessequals(c_1,c_uminus(X1,X0),X0)
% 169.73/170.09 | ~ c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21687]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3829,plain,
% 169.73/170.09 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11841_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21681,plain,
% 169.73/170.09 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3829]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21682,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21681]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3827,plain,
% 169.73/170.09 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.09 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11847_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21677,plain,
% 169.73/170.09 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.73/170.09 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3827]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21678,plain,
% 169.73/170.09 ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 169.73/170.09 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21677]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3821,plain,
% 169.73/170.09 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 169.73/170.09 | c_in(c_0,X2,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11851_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21665,plain,
% 169.73/170.09 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 169.73/170.09 | c_in(c_0,X2,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3821]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21666,plain,
% 169.73/170.09 ( c_in(c_0,X0,tc_nat)
% 169.73/170.09 | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21665]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3820,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11858_0) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21663,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3820]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3818,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11858_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21659,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3818]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21660,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21659]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3817,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11859_0) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21657,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3817]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3815,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11859_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21653,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3815]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21654,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21653]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3813,plain,
% 169.73/170.09 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11860_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21649,plain,
% 169.73/170.09 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3813]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21650,plain,
% 169.73/170.09 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21649]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3806,plain,
% 169.73/170.09 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oring(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11862_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21635,plain,
% 169.73/170.09 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Oring(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3806]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21636,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oring(X0)
% 169.73/170.09 | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21635]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3804,plain,
% 169.73/170.09 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11863_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21631,plain,
% 169.73/170.09 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3804]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21632,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oring(X0)
% 169.73/170.09 | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21631]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3802,plain,
% 169.73/170.09 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11864_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21627,plain,
% 169.73/170.09 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3802]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21628,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21627]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3800,plain,
% 169.73/170.09 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0
% 169.73/170.09 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11865_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21623,plain,
% 169.73/170.09 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0
% 169.73/170.09 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3800]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21624,plain,
% 169.73/170.09 ( ~ class_Power_Orecpower(X0)
% 169.73/170.09 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21623]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3798,plain,
% 169.73/170.09 ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1
% 169.73/170.09 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11866_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21619,plain,
% 169.73/170.09 ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1
% 169.73/170.09 | ~ class_Power_Orecpower(X0) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3798]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21620,plain,
% 169.73/170.09 ( ~ class_Power_Orecpower(X0)
% 169.73/170.09 | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21619]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3791,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11868_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21605,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3791]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21606,plain,
% 169.73/170.09 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.09 | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 169.73/170.09 | ~ c_lessequals(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21605]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3788,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11869_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21599,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.09 | ~ class_Orderings_Olinorder(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3788]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21600,plain,
% 169.73/170.09 ( ~ class_Orderings_Olinorder(X0)
% 169.73/170.09 | c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 169.73/170.09 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21599]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3785,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_Orderings_Oorder(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11870_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21593,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_Orderings_Oorder(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3785]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21594,plain,
% 169.73/170.09 ( ~ class_Orderings_Oorder(X0)
% 169.73/170.09 | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 169.73/170.09 | ~ c_lessequals(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21593]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3782,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.09 | ~ class_Orderings_Oorder(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11871_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21587,plain,
% 169.73/170.09 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 169.73/170.09 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.09 | ~ class_Orderings_Oorder(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3782]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21588,plain,
% 169.73/170.09 ( ~ class_Orderings_Oorder(X0)
% 169.73/170.09 | c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 169.73/170.09 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21587]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3780,plain,
% 169.73/170.09 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 169.73/170.09 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11872_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21583,plain,
% 169.73/170.09 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 169.73/170.09 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3780]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21584,plain,
% 169.73/170.09 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.73/170.09 | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21583]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3778,plain,
% 169.73/170.09 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.73/170.09 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11873_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21579,plain,
% 169.73/170.09 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.73/170.09 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3778]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21580,plain,
% 169.73/170.09 ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 169.73/170.09 | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21579]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3776,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1)
% 169.73/170.09 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11874_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21575,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1)
% 169.73/170.09 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3776]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21576,plain,
% 169.73/170.09 ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 169.73/170.09 | c_List_Odistinct(X1,X2) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21575]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3774,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11875_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21571,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3774]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21572,plain,
% 169.73/170.09 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21571]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3772,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11876_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21567,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3772]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21568,plain,
% 169.73/170.09 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21567]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3770,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1)
% 169.73/170.09 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11877_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21563,plain,
% 169.73/170.09 ( c_List_Odistinct(X0,X1)
% 169.73/170.09 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3770]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21564,plain,
% 169.73/170.09 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.09 | c_List_Odistinct(X1,X2) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21563]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3768,plain,
% 169.73/170.09 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 169.73/170.09 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11878_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21559,plain,
% 169.73/170.09 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 169.73/170.09 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3768]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21560,plain,
% 169.73/170.09 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.73/170.09 | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21559]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3762,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11880_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21547,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3762]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21548,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21547]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3759,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11881_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21541,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3759]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21542,plain,
% 169.73/170.09 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21541]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3756,plain,
% 169.73/170.09 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 169.73/170.09 | X0 = c_List_Olist_ONil ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11882_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21535,plain,
% 169.73/170.09 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 169.73/170.09 | X0 = c_List_Olist_ONil ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3756]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3754,plain,
% 169.73/170.09 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.09 | X1 = c_List_Olist_ONil ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11883_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21531,plain,
% 169.73/170.09 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.73/170.09 | X1 = c_List_Olist_ONil ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3754]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3752,plain,
% 169.73/170.09 ( X0 = c_0
% 169.73/170.09 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11884_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21527,plain,
% 169.73/170.09 ( X0 = c_0
% 169.73/170.09 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3752]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21528,plain,
% 169.73/170.09 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | X0 = c_0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21527]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3749,plain,
% 169.73/170.09 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11887_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21521,plain,
% 169.73/170.09 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3749]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21522,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.09 | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0)
% 169.73/170.09 | ~ c_lessequals(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21521]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3746,plain,
% 169.73/170.09 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11888_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21515,plain,
% 169.73/170.09 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3746]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21516,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.73/170.09 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0)
% 169.73/170.09 | ~ c_lessequals(X1,X2,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21515]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3743,plain,
% 169.73/170.09 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.09 | ~ c_less(X2,X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11889_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21509,plain,
% 169.73/170.09 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.09 | ~ c_less(X2,X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3743]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21510,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.09 | ~ c_less(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21509]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3740,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11890_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21503,plain,
% 169.73/170.09 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X2,X0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3740]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21504,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.73/170.09 | ~ c_lessequals(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21503]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3734,plain,
% 169.73/170.09 ( c_List_Otake(X0,X1,X2) = X1
% 169.73/170.09 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11892_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21491,plain,
% 169.73/170.09 ( c_List_Otake(X0,X1,X2) = X1
% 169.73/170.09 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3734]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21492,plain,
% 169.73/170.09 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.73/170.09 | c_List_Otake(X2,X0,X1) = X0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21491]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3732,plain,
% 169.73/170.09 ( c_List_Orotate(X0,X1,X2) = X1
% 169.73/170.09 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11893_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21487,plain,
% 169.73/170.09 ( c_List_Orotate(X0,X1,X2) = X1
% 169.73/170.09 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3732]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21488,plain,
% 169.73/170.09 ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 169.73/170.09 | c_List_Orotate(X0,X1,X2) = X1 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21487]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3730,plain,
% 169.73/170.09 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 169.73/170.09 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11894_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21483,plain,
% 169.73/170.09 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 169.73/170.09 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3730]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21484,plain,
% 169.73/170.09 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.73/170.09 | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21483]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3723,plain,
% 169.73/170.09 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.73/170.09 | ~ c_less(X0,X2,tc_nat)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11897_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21469,plain,
% 169.73/170.09 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.73/170.09 | ~ c_less(X0,X2,tc_nat)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3723]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21470,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.09 | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.73/170.09 | ~ c_less(X1,X2,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21469]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3720,plain,
% 169.73/170.09 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,tc_nat)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11898_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21463,plain,
% 169.73/170.09 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,tc_nat)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3720]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21464,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.09 | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.73/170.09 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21463]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3717,plain,
% 169.73/170.09 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.73/170.09 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11899_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21457,plain,
% 169.73/170.09 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.73/170.09 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3717]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21458,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.09 | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.73/170.09 | ~ c_less(X1,X2,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21457]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3714,plain,
% 169.73/170.09 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11900_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21451,plain,
% 169.73/170.09 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.73/170.09 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3714]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21452,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.09 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.73/170.09 | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21451]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3712,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11901_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21447,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3712]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3706,plain,
% 169.73/170.09 ( c_List_Orotate(X0,X1,X2) = X1
% 169.73/170.09 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11903_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21435,plain,
% 169.73/170.09 ( c_List_Orotate(X0,X1,X2) = X1
% 169.73/170.09 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3706]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21436,plain,
% 169.73/170.09 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 169.73/170.09 | c_List_Orotate(X2,X0,X1) = X0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21435]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3702,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11906_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21427,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3702]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21428,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21427]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3700,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11907_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21423,plain,
% 169.73/170.09 ( c_Parity_Oeven(X0,tc_nat)
% 169.73/170.09 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3700]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21424,plain,
% 169.73/170.09 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.73/170.09 | c_Parity_Oeven(X0,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21423]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3697,plain,
% 169.73/170.09 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.73/170.09 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11908_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21417,plain,
% 169.73/170.09 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.73/170.09 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.73/170.09 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3697]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21418,plain,
% 169.73/170.09 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.09 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 169.73/170.09 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21417]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3687,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.09 | X1 = X0
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11911_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21397,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.09 | X1 = X0
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3687]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21398,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.09 | ~ c_lessequals(X1,X0,tc_set(X2))
% 169.73/170.09 | X1 = X0 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21397]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3668,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11916_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21359,plain,
% 169.73/170.09 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3668]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3666,plain,
% 169.73/170.09 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 169.73/170.09 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11917_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21355,plain,
% 169.73/170.09 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 169.73/170.09 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3666]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3659,plain,
% 169.73/170.09 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11920_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21341,plain,
% 169.73/170.09 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3659]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21342,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21341]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3654,plain,
% 169.73/170.09 ( X0 = c_0
% 169.73/170.09 | X1 = X2
% 169.73/170.09 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11921_4) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21331,plain,
% 169.73/170.09 ( X0 = c_0
% 169.73/170.09 | X1 = X2
% 169.73/170.09 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3654]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21332,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 169.73/170.09 | X2 = c_0
% 169.73/170.09 | X1 = X3 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21331]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3649,plain,
% 169.73/170.09 ( X0 = c_0
% 169.73/170.09 | X1 = X2
% 169.73/170.09 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11922_4) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21321,plain,
% 169.73/170.09 ( X0 = c_0
% 169.73/170.09 | X1 = X2
% 169.73/170.09 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X3)
% 169.73/170.09 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3649]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21322,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.09 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.09 | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 169.73/170.09 | X1 = c_0
% 169.73/170.09 | X2 = X3 ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21321]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3646,plain,
% 169.73/170.09 ( c_less(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11923_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21315,plain,
% 169.73/170.09 ( c_less(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3646]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21316,plain,
% 169.73/170.09 ( ~ class_Orderings_Oord(X0)
% 169.73/170.09 | c_less(X1,X2,X0)
% 169.73/170.09 | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21315]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3643,plain,
% 169.73/170.09 ( c_less(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11924_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21309,plain,
% 169.73/170.09 ( c_less(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3643]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21310,plain,
% 169.73/170.09 ( ~ class_Orderings_Oord(X0)
% 169.73/170.09 | c_less(X1,X2,X0)
% 169.73/170.09 | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21309]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3640,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11925_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21303,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3640]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21304,plain,
% 169.73/170.09 ( ~ class_Orderings_Oord(X0)
% 169.73/170.09 | c_lessequals(X1,X2,X0)
% 169.73/170.09 | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21303]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3637,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11926_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21297,plain,
% 169.73/170.09 ( c_lessequals(X0,X1,X2)
% 169.73/170.09 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 169.73/170.09 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3637]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21298,plain,
% 169.73/170.09 ( ~ class_Orderings_Oord(X0)
% 169.73/170.09 | c_lessequals(X1,X2,X0)
% 169.73/170.09 | ~ c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21297]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3631,plain,
% 169.73/170.09 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11928_1) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21285,plain,
% 169.73/170.09 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3631]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21286,plain,
% 169.73/170.09 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.09 | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21285]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3625,plain,
% 169.73/170.09 ( c_less(c_0,X0,X1)
% 169.73/170.09 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11930_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21273,plain,
% 169.73/170.09 ( c_less(c_0,X0,X1)
% 169.73/170.09 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3625]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21274,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_less(c_0,X1,X0)
% 169.73/170.09 | ~ c_less(c_uminus(X1,X0),c_0,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21273]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3622,plain,
% 169.73/170.09 ( c_lessequals(c_0,X0,X1)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11931_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21267,plain,
% 169.73/170.09 ( c_lessequals(c_0,X0,X1)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3622]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21268,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | c_lessequals(c_0,X1,X0)
% 169.73/170.09 | ~ c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21267]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3619,plain,
% 169.73/170.09 ( c_less(X0,c_0,X1)
% 169.73/170.09 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11932_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21261,plain,
% 169.73/170.09 ( c_less(X0,c_0,X1)
% 169.73/170.09 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3619]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21262,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 169.73/170.09 | c_less(X1,c_0,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21261]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3616,plain,
% 169.73/170.09 ( c_lessequals(X0,c_0,X1)
% 169.73/170.09 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11933_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21255,plain,
% 169.73/170.09 ( c_lessequals(X0,c_0,X1)
% 169.73/170.09 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.73/170.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3616]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21256,plain,
% 169.73/170.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.09 | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 169.73/170.09 | c_lessequals(X1,c_0,X0) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21255]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3613,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11936_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21249,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_nat)
% 169.73/170.09 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3613]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21250,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.09 | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 169.73/170.09 | c_less(c_0,X1,tc_nat) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21249]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3610,plain,
% 169.73/170.09 ( c_less(X0,c_0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11937_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21243,plain,
% 169.73/170.09 ( c_less(X0,c_0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3610]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21244,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.09 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.73/170.09 | c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21243]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3607,plain,
% 169.73/170.09 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11938_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21237,plain,
% 169.73/170.09 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3607]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21238,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.09 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.73/170.09 | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 169.73/170.09 inference(rewriting,[status(thm)],[c_21237]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_3604,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11939_2) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21231,plain,
% 169.73/170.09 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.09 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.09 inference(copy,[status(esa)],[c_3604]) ).
% 169.73/170.09
% 169.73/170.09 cnf(c_21232,plain,
% 169.73/170.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.10 | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.73/170.10 | c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21231]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3601,plain,
% 169.73/170.10 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11940_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21225,plain,
% 169.73/170.10 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3601]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21226,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.10 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.73/170.10 | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21225]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3591,plain,
% 169.73/170.10 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11943_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21205,plain,
% 169.73/170.10 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3591]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21206,plain,
% 169.73/170.10 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21205]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3589,plain,
% 169.73/170.10 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 169.73/170.10 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11944_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21201,plain,
% 169.73/170.10 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 169.73/170.10 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3589]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21202,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.73/170.10 | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21201]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3585,plain,
% 169.73/170.10 ( X0 = c_0
% 169.73/170.10 | X1 = X2
% 169.73/170.10 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11945_3) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21193,plain,
% 169.73/170.10 ( X0 = c_0
% 169.73/170.10 | X1 = X2
% 169.73/170.10 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3585]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21194,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 169.73/170.10 | X2 = c_0
% 169.73/170.10 | X1 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21193]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3581,plain,
% 169.73/170.10 ( X0 = c_0
% 169.73/170.10 | X1 = X2
% 169.73/170.10 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11946_3) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21185,plain,
% 169.73/170.10 ( X0 = c_0
% 169.73/170.10 | X1 = X2
% 169.73/170.10 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3581]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21186,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 169.73/170.10 | X1 = c_0
% 169.73/170.10 | X2 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21185]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3578,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 169.73/170.10 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11949_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21179,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 169.73/170.10 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3578]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21180,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.73/170.10 | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 169.73/170.10 | X1 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21179]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3575,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 169.73/170.10 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11950_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21173,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 169.73/170.10 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3575]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21174,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.73/170.10 | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 169.73/170.10 | X2 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21173]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3569,plain,
% 169.73/170.10 ( X0 = c_List_Olist_ONil
% 169.73/170.10 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 169.73/170.10 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11952_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21161,plain,
% 169.73/170.10 ( X0 = c_List_Olist_ONil
% 169.73/170.10 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 169.73/170.10 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3569]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21162,plain,
% 169.73/170.10 ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 169.73/170.10 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 169.73/170.10 | X0 = c_List_Olist_ONil ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21161]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3565,plain,
% 169.73/170.10 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 169.73/170.10 | X0 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11953_3) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21153,plain,
% 169.73/170.10 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 169.73/170.10 | X0 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3565]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21154,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 169.73/170.10 | X1 = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21153]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3561,plain,
% 169.73/170.10 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 169.73/170.10 | X1 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11954_3) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21145,plain,
% 169.73/170.10 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 169.73/170.10 | X1 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3561]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21146,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 169.73/170.10 | X2 = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21145]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3557,plain,
% 169.73/170.10 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 169.73/170.10 | X1 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11955_3) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21137,plain,
% 169.73/170.10 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 169.73/170.10 | X1 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3557]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21138,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 169.73/170.10 | X2 = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21137]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3553,plain,
% 169.73/170.10 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 169.73/170.10 | X0 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11956_3) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21129,plain,
% 169.73/170.10 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 169.73/170.10 | X0 = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3553]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21130,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 169.73/170.10 | X1 = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21129]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3551,plain,
% 169.73/170.10 ( c_minus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11957_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21125,plain,
% 169.73/170.10 ( c_minus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3551]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21126,plain,
% 169.73/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.10 | c_minus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21125]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3549,plain,
% 169.73/170.10 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.73/170.10 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11958_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21121,plain,
% 169.73/170.10 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.73/170.10 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3549]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3531,plain,
% 169.73/170.10 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 169.73/170.10 | X0 = c_0 ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11965_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21085,plain,
% 169.73/170.10 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 169.73/170.10 | X0 = c_0 ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3531]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3528,plain,
% 169.73/170.10 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11967_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21079,plain,
% 169.73/170.10 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3528]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21080,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21079]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3525,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.73/170.10 | ~ c_less(X0,X1,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11969_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21073,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.73/170.10 | ~ c_less(X0,X1,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3525]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21074,plain,
% 169.73/170.10 ( ~ class_Orderings_Oord(X0)
% 169.73/170.10 | ~ c_less(X1,X2,X0)
% 169.73/170.10 | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21073]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3522,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 169.73/170.10 | ~ c_less(X1,X0,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11970_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21067,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 169.73/170.10 | ~ c_less(X1,X0,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3522]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21068,plain,
% 169.73/170.10 ( ~ class_Orderings_Oord(X0)
% 169.73/170.10 | ~ c_less(X1,X2,X0)
% 169.73/170.10 | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21067]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3519,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.73/170.10 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11971_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21061,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.73/170.10 | ~ c_lessequals(X0,X1,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3519]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21062,plain,
% 169.73/170.10 ( ~ class_Orderings_Oord(X0)
% 169.73/170.10 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.10 | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21061]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3516,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 169.73/170.10 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11972_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21055,plain,
% 169.73/170.10 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 169.73/170.10 | ~ c_lessequals(X1,X0,X2)
% 169.73/170.10 | ~ class_Orderings_Oord(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3516]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21056,plain,
% 169.73/170.10 ( ~ class_Orderings_Oord(X0)
% 169.73/170.10 | ~ c_lessequals(X1,X2,X0)
% 169.73/170.10 | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21055]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3514,plain,
% 169.73/170.10 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 169.73/170.10 | ~ c_less(X0,X1,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11974_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21051,plain,
% 169.73/170.10 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 169.73/170.10 | ~ c_less(X0,X1,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3514]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21052,plain,
% 169.73/170.10 ( ~ c_less(X0,X1,tc_nat)
% 169.73/170.10 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21051]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3512,plain,
% 169.73/170.10 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11975_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21047,plain,
% 169.73/170.10 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3512]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21048,plain,
% 169.73/170.10 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21047]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3510,plain,
% 169.73/170.10 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11976_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21043,plain,
% 169.73/170.10 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3510]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21044,plain,
% 169.73/170.10 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21043]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3504,plain,
% 169.73/170.10 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11978_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21031,plain,
% 169.73/170.10 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3504]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21032,plain,
% 169.73/170.10 ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21031]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3502,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11979_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21027,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3502]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21028,plain,
% 169.73/170.10 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 169.73/170.10 | X1 = X4 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21027]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3500,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11980_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21023,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3500]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21024,plain,
% 169.73/170.10 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 169.73/170.10 | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21023]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3498,plain,
% 169.73/170.10 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11981_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21019,plain,
% 169.73/170.10 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3498]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21020,plain,
% 169.73/170.10 ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21019]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3496,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11982_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21015,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3496]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21016,plain,
% 169.73/170.10 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 169.73/170.10 | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21015]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3494,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11983_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21011,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3494]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21012,plain,
% 169.73/170.10 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 169.73/170.10 | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21011]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3492,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11984_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21007,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3492]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21008,plain,
% 169.73/170.10 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 169.73/170.10 | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21007]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3490,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11985_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21003,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3490]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21004,plain,
% 169.73/170.10 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 169.73/170.10 | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_21003]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3488,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11986_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20999,plain,
% 169.73/170.10 ( X0 = X1
% 169.73/170.10 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3488]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_21000,plain,
% 169.73/170.10 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 169.73/170.10 | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20999]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3486,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11987_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20995,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3486]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20996,plain,
% 169.73/170.10 ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.73/170.10 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20995]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3484,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11988_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20991,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3484]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20992,plain,
% 169.73/170.10 ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20991]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3482,plain,
% 169.73/170.10 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11991_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20987,plain,
% 169.73/170.10 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3482]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20988,plain,
% 169.73/170.10 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20987]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3479,plain,
% 169.73/170.10 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11993_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20981,plain,
% 169.73/170.10 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3479]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20982,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20981]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3476,plain,
% 169.73/170.10 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11994_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20975,plain,
% 169.73/170.10 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3476]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20976,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20975]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3473,plain,
% 169.73/170.10 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11995_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20969,plain,
% 169.73/170.10 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3473]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20970,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20969]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3470,plain,
% 169.73/170.10 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11996_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20963,plain,
% 169.73/170.10 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3470]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20964,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20963]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3467,plain,
% 169.73/170.10 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11997_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20957,plain,
% 169.73/170.10 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3467]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20958,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20957]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3464,plain,
% 169.73/170.10 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11998_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20951,plain,
% 169.73/170.10 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3464]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20952,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.73/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.73/170.10 | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20951]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3462,plain,
% 169.73/170.10 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12005_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20947,plain,
% 169.73/170.10 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3462]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20948,plain,
% 169.73/170.10 ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20947]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3460,plain,
% 169.73/170.10 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12006_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20943,plain,
% 169.73/170.10 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3460]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20944,plain,
% 169.73/170.10 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20943]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3457,plain,
% 169.73/170.10 ( c_less(c_uminus(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_less(c_0,X0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12009_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20937,plain,
% 169.73/170.10 ( c_less(c_uminus(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_less(c_0,X0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3457]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20938,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.10 | ~ c_less(c_0,X1,X0)
% 169.73/170.10 | c_less(c_uminus(X1,X0),c_0,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20937]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3454,plain,
% 169.73/170.10 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12010_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20931,plain,
% 169.73/170.10 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_lessequals(c_0,X0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3454]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20932,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.10 | ~ c_lessequals(c_0,X1,X0)
% 169.73/170.10 | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20931]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3451,plain,
% 169.73/170.10 ( c_less(c_0,c_uminus(X0,X1),X1)
% 169.73/170.10 | ~ c_less(X0,c_0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12011_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20925,plain,
% 169.73/170.10 ( c_less(c_0,c_uminus(X0,X1),X1)
% 169.73/170.10 | ~ c_less(X0,c_0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3451]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20926,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.10 | c_less(c_0,c_uminus(X1,X0),X0)
% 169.73/170.10 | ~ c_less(X1,c_0,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20925]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3448,plain,
% 169.73/170.10 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.73/170.10 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12012_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20919,plain,
% 169.73/170.10 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.73/170.10 | ~ c_lessequals(X0,c_0,X1)
% 169.73/170.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3448]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20920,plain,
% 169.73/170.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.73/170.10 | c_lessequals(c_0,c_uminus(X1,X0),X0)
% 169.73/170.10 | ~ c_lessequals(X1,c_0,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20919]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3445,plain,
% 169.73/170.10 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12013_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20913,plain,
% 169.73/170.10 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3445]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20914,plain,
% 169.73/170.10 ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20913]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3442,plain,
% 169.73/170.10 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12014_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20907,plain,
% 169.73/170.10 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3442]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20908,plain,
% 169.73/170.10 ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20907]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3439,plain,
% 169.73/170.10 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 169.73/170.10 | ~ c_in(X0,c_IntDef_OInts,X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12015_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20901,plain,
% 169.73/170.10 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 169.73/170.10 | ~ c_in(X0,c_IntDef_OInts,X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3439]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20902,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.73/170.10 | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0)
% 169.73/170.10 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20901]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3429,plain,
% 169.73/170.10 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12020_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20881,plain,
% 169.73/170.10 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3429]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20882,plain,
% 169.73/170.10 ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20881]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3427,plain,
% 169.73/170.10 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12021_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20877,plain,
% 169.73/170.10 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3427]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20878,plain,
% 169.73/170.10 ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20877]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3425,plain,
% 169.73/170.10 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12022_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20873,plain,
% 169.73/170.10 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3425]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20874,plain,
% 169.73/170.10 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20873]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3422,plain,
% 169.73/170.10 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.73/170.10 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12023_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20867,plain,
% 169.73/170.10 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.73/170.10 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3422]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20868,plain,
% 169.73/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.10 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 169.73/170.10 | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20867]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3420,plain,
% 169.73/170.10 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12024_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20863,plain,
% 169.73/170.10 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 169.73/170.10 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3420]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20864,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oring(X0)
% 169.73/170.10 | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20863]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3417,plain,
% 169.73/170.10 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.73/170.10 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12025_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20857,plain,
% 169.73/170.10 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.73/170.10 | ~ c_less(c_0,X0,tc_nat)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3417]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20858,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.73/170.10 | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 169.73/170.10 | ~ c_less(c_0,X1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20857]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3414,plain,
% 169.73/170.10 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12026_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20851,plain,
% 169.73/170.10 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3414]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20852,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.10 | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.73/170.10 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20851]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3411,plain,
% 169.73/170.10 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12027_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20845,plain,
% 169.73/170.10 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.73/170.10 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3411]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20846,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.10 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.73/170.10 | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20845]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3408,plain,
% 169.73/170.10 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.10 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12028_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20839,plain,
% 169.73/170.10 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.10 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3408]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20840,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.10 | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.73/170.10 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20839]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3405,plain,
% 169.73/170.10 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.10 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12029_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20833,plain,
% 169.73/170.10 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.73/170.10 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3405]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20834,plain,
% 169.73/170.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.73/170.10 | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.73/170.10 | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20833]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3403,plain,
% 169.73/170.10 ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12030_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20829,plain,
% 169.73/170.10 ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3403]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20830,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20829]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3400,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12031_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20823,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3400]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3396,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12032_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20815,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3396]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3393,plain,
% 169.73/170.10 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 169.73/170.10 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12033_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20809,plain,
% 169.73/170.10 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 169.73/170.10 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3393]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20810,plain,
% 169.73/170.10 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.73/170.10 | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20809]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3391,plain,
% 169.73/170.10 ( c_minus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12036_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20805,plain,
% 169.73/170.10 ( c_minus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3391]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20806,plain,
% 169.73/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.10 | c_minus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20805]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3389,plain,
% 169.73/170.10 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12037_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20801,plain,
% 169.73/170.10 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3389]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20802,plain,
% 169.73/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.10 | c_plus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20801]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3387,plain,
% 169.73/170.10 ( c_plus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12038_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20797,plain,
% 169.73/170.10 ( c_plus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0),X1)
% 169.73/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3387]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20798,plain,
% 169.73/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.73/170.10 | c_plus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X0) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20797]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3385,plain,
% 169.73/170.10 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12039_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20793,plain,
% 169.73/170.10 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3385]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20794,plain,
% 169.73/170.10 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.73/170.10 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20793]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3379,plain,
% 169.73/170.10 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 169.73/170.10 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12041_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20781,plain,
% 169.73/170.10 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 169.73/170.10 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3379]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20782,plain,
% 169.73/170.10 ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 169.73/170.10 | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20781]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3377,plain,
% 169.73/170.10 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 169.73/170.10 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12042_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20777,plain,
% 169.73/170.10 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 169.73/170.10 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3377]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20778,plain,
% 169.73/170.10 ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 169.73/170.10 | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20777]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3375,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12048_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20773,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3375]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3373,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12049_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20769,plain,
% 169.73/170.10 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3373]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3371,plain,
% 169.73/170.10 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.73/170.10 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12058_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20765,plain,
% 169.73/170.10 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.73/170.10 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3371]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20766,plain,
% 169.73/170.10 ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 169.73/170.10 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20765]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3369,plain,
% 169.73/170.10 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.73/170.10 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12059_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20761,plain,
% 169.73/170.10 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.73/170.10 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3369]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20762,plain,
% 169.73/170.10 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 169.73/170.10 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20761]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3367,plain,
% 169.73/170.10 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 169.73/170.10 | X0 = c_0 ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12060_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20757,plain,
% 169.73/170.10 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 169.73/170.10 | X0 = c_0 ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3367]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3365,plain,
% 169.73/170.10 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 169.73/170.10 | X1 = c_0 ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12061_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20753,plain,
% 169.73/170.10 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 169.73/170.10 | X1 = c_0 ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3365]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3362,plain,
% 169.73/170.10 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12062_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20747,plain,
% 169.73/170.10 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3362]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20748,plain,
% 169.73/170.10 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20747]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3359,plain,
% 169.73/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12064_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20741,plain,
% 169.73/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3359]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3356,plain,
% 169.73/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.10 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.10 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12065_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20735,plain,
% 169.73/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.73/170.10 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.73/170.10 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3356]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3353,plain,
% 169.73/170.10 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12066_2) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20729,plain,
% 169.73/170.10 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3353]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3351,plain,
% 169.73/170.10 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12067_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20725,plain,
% 169.73/170.10 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3351]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20726,plain,
% 169.73/170.10 ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20725]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3349,plain,
% 169.73/170.10 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 169.73/170.10 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12080_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20721,plain,
% 169.73/170.10 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 169.73/170.10 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3349]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20722,plain,
% 169.73/170.10 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.10 | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20721]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3347,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.10 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12081_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20717,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_set(X2))
% 169.73/170.10 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3347]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3345,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12082_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20713,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3345]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3343,plain,
% 169.73/170.10 ( c_List_Orotate1(X0,X1) = X0
% 169.73/170.10 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12083_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20709,plain,
% 169.73/170.10 ( c_List_Orotate1(X0,X1) = X0
% 169.73/170.10 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3343]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20710,plain,
% 169.73/170.10 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 169.73/170.10 | c_List_Orotate1(X0,X1) = X0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20709]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3341,plain,
% 169.73/170.10 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12084_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20705,plain,
% 169.73/170.10 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3341]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20706,plain,
% 169.73/170.10 ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20705]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3339,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.10 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12085_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20701,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.10 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3339]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20702,plain,
% 169.73/170.10 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 169.73/170.10 | c_lessequals(X0,X1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20701]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3337,plain,
% 169.73/170.10 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12086_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20697,plain,
% 169.73/170.10 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3337]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20698,plain,
% 169.73/170.10 ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 169.73/170.10 | c_less(X0,X1,tc_IntDef_Oint) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20697]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3335,plain,
% 169.73/170.10 ( c_less(X0,X1,tc_nat)
% 169.73/170.10 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12087_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20693,plain,
% 169.73/170.10 ( c_less(X0,X1,tc_nat)
% 169.73/170.10 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3335]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20694,plain,
% 169.73/170.10 ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.73/170.10 | c_less(X0,X1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20693]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3333,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.10 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12088_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20689,plain,
% 169.73/170.10 ( c_lessequals(X0,X1,tc_nat)
% 169.73/170.10 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3333]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20690,plain,
% 169.73/170.10 ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.73/170.10 | c_lessequals(X0,X1,tc_nat) ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20689]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3331,plain,
% 169.73/170.10 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12089_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20685,plain,
% 169.73/170.10 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3331]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20686,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20685]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3329,plain,
% 169.73/170.10 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12090_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20681,plain,
% 169.73/170.10 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3329]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20682,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20681]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3327,plain,
% 169.73/170.10 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12091_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20677,plain,
% 169.73/170.10 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.73/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3327]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20678,plain,
% 169.73/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.73/170.10 | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 169.73/170.10 inference(rewriting,[status(thm)],[c_20677]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3325,plain,
% 169.73/170.10 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 169.73/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12092_1) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_20673,plain,
% 169.73/170.10 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.73/170.10 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 169.73/170.10 inference(copy,[status(esa)],[c_3325]) ).
% 169.73/170.10
% 169.73/170.10 cnf(c_3323,plain,
% 169.84/170.10 ( c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12093_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20669,plain,
% 169.84/170.10 ( c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3323]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20670,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.10 | c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20669]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3321,plain,
% 169.84/170.10 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12094_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20665,plain,
% 169.84/170.10 ( c_plus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3321]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20666,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.10 | c_plus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20665]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3315,plain,
% 169.84/170.10 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12099_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20653,plain,
% 169.84/170.10 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3315]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3308,plain,
% 169.84/170.10 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12102_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20639,plain,
% 169.84/170.10 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3308]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3306,plain,
% 169.84/170.10 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 169.84/170.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12103_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20635,plain,
% 169.84/170.10 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 169.84/170.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3306]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3304,plain,
% 169.84/170.10 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12104_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20631,plain,
% 169.84/170.10 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3304]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3302,plain,
% 169.84/170.10 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12105_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20627,plain,
% 169.84/170.10 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3302]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3295,plain,
% 169.84/170.10 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 169.84/170.10 | ~ c_lessequals(X1,X0,X2)
% 169.84/170.10 | ~ class_Orderings_Oorder(X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12108_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20613,plain,
% 169.84/170.10 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 169.84/170.10 | ~ c_lessequals(X1,X0,X2)
% 169.84/170.10 | ~ class_Orderings_Oorder(X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3295]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20614,plain,
% 169.84/170.10 ( ~ class_Orderings_Oorder(X0)
% 169.84/170.10 | ~ c_lessequals(X1,X2,X0)
% 169.84/170.10 | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20613]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3292,plain,
% 169.84/170.10 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 169.84/170.10 | ~ c_lessequals(X1,X0,X2)
% 169.84/170.10 | ~ class_Orderings_Oorder(X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12109_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20607,plain,
% 169.84/170.10 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 169.84/170.10 | ~ c_lessequals(X1,X0,X2)
% 169.84/170.10 | ~ class_Orderings_Oorder(X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3292]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20608,plain,
% 169.84/170.10 ( ~ class_Orderings_Oorder(X0)
% 169.84/170.10 | ~ c_lessequals(X1,X2,X0)
% 169.84/170.10 | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20607]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3289,plain,
% 169.84/170.10 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 169.84/170.10 | ~ c_less(X1,X0,X2)
% 169.84/170.10 | ~ class_Orderings_Oorder(X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12110_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20601,plain,
% 169.84/170.10 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 169.84/170.10 | ~ c_less(X1,X0,X2)
% 169.84/170.10 | ~ class_Orderings_Oorder(X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3289]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20602,plain,
% 169.84/170.10 ( ~ class_Orderings_Oorder(X0)
% 169.84/170.10 | ~ c_less(X1,X2,X0)
% 169.84/170.10 | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20601]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3287,plain,
% 169.84/170.10 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12111_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20597,plain,
% 169.84/170.10 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3287]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3281,plain,
% 169.84/170.10 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 169.84/170.10 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12116_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20585,plain,
% 169.84/170.10 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 169.84/170.10 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3281]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3279,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12117_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20581,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3279]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3277,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X0,X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12118_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20577,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X0,X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3277]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3275,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12119_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20573,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3275]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3273,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12120_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20569,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3273]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3271,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12121_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20565,plain,
% 169.84/170.10 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 169.84/170.10 | ~ c_List_Odistinct(X1,X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3271]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3267,plain,
% 169.84/170.10 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.84/170.10 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12123_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20557,plain,
% 169.84/170.10 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.84/170.10 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3267]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3265,plain,
% 169.84/170.10 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.84/170.10 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12125_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20553,plain,
% 169.84/170.10 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.84/170.10 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3265]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20554,plain,
% 169.84/170.10 ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 169.84/170.10 | c_less(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20553]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3263,plain,
% 169.84/170.10 ( c_less(c_0,X0,tc_nat)
% 169.84/170.10 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12126_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20549,plain,
% 169.84/170.10 ( c_less(c_0,X0,tc_nat)
% 169.84/170.10 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3263]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20550,plain,
% 169.84/170.10 ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 169.84/170.10 | c_less(c_0,X0,tc_nat) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20549]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3260,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12127_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20543,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3260]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3257,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.84/170.10 | c_Parity_Oeven(X0,tc_nat)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12128_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20537,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.84/170.10 | c_Parity_Oeven(X0,tc_nat)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3257]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3254,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12129_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20531,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3254]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3252,plain,
% 169.84/170.10 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 169.84/170.10 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12130_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20527,plain,
% 169.84/170.10 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 169.84/170.10 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3252]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20528,plain,
% 169.84/170.10 ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 169.84/170.10 | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20527]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3250,plain,
% 169.84/170.10 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 169.84/170.10 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12131_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20523,plain,
% 169.84/170.10 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 169.84/170.10 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3250]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20524,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.10 | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20523]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3247,plain,
% 169.84/170.10 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.84/170.10 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12132_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20517,plain,
% 169.84/170.10 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.84/170.10 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3247]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20518,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.10 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 169.84/170.10 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20517]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3245,plain,
% 169.84/170.10 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.10 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12133_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20513,plain,
% 169.84/170.10 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.10 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3245]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20514,plain,
% 169.84/170.10 ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 169.84/170.10 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20513]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3243,plain,
% 169.84/170.10 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.10 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12134_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20509,plain,
% 169.84/170.10 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.10 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3243]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20510,plain,
% 169.84/170.10 ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 169.84/170.10 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20509]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3241,plain,
% 169.84/170.10 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 169.84/170.10 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12135_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20505,plain,
% 169.84/170.10 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 169.84/170.10 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3241]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3239,plain,
% 169.84/170.10 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_less(c_0,X0,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12136_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20501,plain,
% 169.84/170.10 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_less(c_0,X0,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3239]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3233,plain,
% 169.84/170.10 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12138_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20489,plain,
% 169.84/170.10 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3233]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20490,plain,
% 169.84/170.10 ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20489]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3226,plain,
% 169.84/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.84/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12141_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20475,plain,
% 169.84/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.84/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3226]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20476,plain,
% 169.84/170.10 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20475]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3223,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12142_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20469,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3223]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20470,plain,
% 169.84/170.10 ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 169.84/170.10 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20469]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3221,plain,
% 169.84/170.10 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12143_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20465,plain,
% 169.84/170.10 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3221]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20466,plain,
% 169.84/170.10 ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20465]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3219,plain,
% 169.84/170.10 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12144_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20461,plain,
% 169.84/170.10 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3219]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3217,plain,
% 169.84/170.10 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12145_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20457,plain,
% 169.84/170.10 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3217]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20458,plain,
% 169.84/170.10 ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20457]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3215,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12146_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20453,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3215]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3213,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12147_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20449,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3213]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3211,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12148_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20445,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3211]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3209,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12149_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20441,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.84/170.10 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3209]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3207,plain,
% 169.84/170.10 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.84/170.10 | X1 = c_List_Olist_ONil ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12151_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20437,plain,
% 169.84/170.10 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.84/170.10 | X1 = c_List_Olist_ONil ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3207]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3205,plain,
% 169.84/170.10 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.84/170.10 | X1 = c_List_Olist_ONil ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12152_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20433,plain,
% 169.84/170.10 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.84/170.10 | X1 = c_List_Olist_ONil ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3205]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3203,plain,
% 169.84/170.10 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 169.84/170.10 | X0 = c_List_Olist_ONil ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12153_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20429,plain,
% 169.84/170.10 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 169.84/170.10 | X0 = c_List_Olist_ONil ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3203]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3200,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12154_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20423,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3200]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20424,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.10 | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 169.84/170.10 | X1 = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20423]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3197,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12155_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20417,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3197]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20418,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.10 | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 169.84/170.10 | X1 = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20417]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3195,plain,
% 169.84/170.10 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12158_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20413,plain,
% 169.84/170.10 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3195]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20414,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.10 | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20413]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3193,plain,
% 169.84/170.10 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12163_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20409,plain,
% 169.84/170.10 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3193]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20410,plain,
% 169.84/170.10 ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20409]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3187,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12165_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20397,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3187]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20398,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.10 | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 169.84/170.10 | X1 = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20397]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3184,plain,
% 169.84/170.10 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.10 | ~ class_Numeral_Onumber(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12166_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20391,plain,
% 169.84/170.10 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.10 | ~ class_Numeral_Onumber(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3184]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20392,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber(X0)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.10 | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20391]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3181,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12167_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20385,plain,
% 169.84/170.10 ( X0 = c_0
% 169.84/170.10 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3181]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20386,plain,
% 169.84/170.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.10 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 169.84/170.10 | X1 = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20385]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3179,plain,
% 169.84/170.10 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12171_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20381,plain,
% 169.84/170.10 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3179]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20382,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.10 | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20381]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3177,plain,
% 169.84/170.10 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12172_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20377,plain,
% 169.84/170.10 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3177]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20378,plain,
% 169.84/170.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.10 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20377]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3175,plain,
% 169.84/170.10 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12175_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20373,plain,
% 169.84/170.10 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3175]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20374,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.10 | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20373]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3173,plain,
% 169.84/170.10 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.84/170.10 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12176_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20369,plain,
% 169.84/170.10 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.84/170.10 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3173]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20370,plain,
% 169.84/170.10 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.10 | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20369]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3171,plain,
% 169.84/170.10 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.84/170.10 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12177_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20365,plain,
% 169.84/170.10 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.84/170.10 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3171]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20366,plain,
% 169.84/170.10 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.10 | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20365]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3161,plain,
% 169.84/170.10 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 169.84/170.10 | c_Numeral_Onumber__of(X1,X2) != c_0
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.84/170.10 | ~ class_Numeral_Onumber(X2) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12180_4) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20345,plain,
% 169.84/170.10 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 169.84/170.10 | c_Numeral_Onumber__of(X1,X2) != c_0
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.84/170.10 | ~ class_Numeral_Onumber(X2) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3161]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20346,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber(X0)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.10 | c_Numeral_Onumber__of(X1,X0) != c_0
% 169.84/170.10 | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20345]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3159,plain,
% 169.84/170.10 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12181_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20341,plain,
% 169.84/170.10 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3159]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3157,plain,
% 169.84/170.10 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12182_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20337,plain,
% 169.84/170.10 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3157]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20338,plain,
% 169.84/170.10 ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20337]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3155,plain,
% 169.84/170.10 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12183_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20333,plain,
% 169.84/170.10 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3155]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3153,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12186_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20329,plain,
% 169.84/170.10 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 169.84/170.10 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3153]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3150,plain,
% 169.84/170.10 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12187_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20323,plain,
% 169.84/170.10 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3150]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20324,plain,
% 169.84/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.10 | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20323]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3147,plain,
% 169.84/170.10 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12188_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20317,plain,
% 169.84/170.10 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3147]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20318,plain,
% 169.84/170.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.10 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.10 | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20317]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3135,plain,
% 169.84/170.10 ( X0 = c_emptyset
% 169.84/170.10 | c_Union(X1,X2) != c_emptyset
% 169.84/170.10 | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12192_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20293,plain,
% 169.84/170.10 ( X0 = c_emptyset
% 169.84/170.10 | c_Union(X1,X2) != c_emptyset
% 169.84/170.10 | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3135]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20294,plain,
% 169.84/170.10 ( ~ c_in(X0,X1,tc_set(X2))
% 169.84/170.10 | c_Union(X1,X2) != c_emptyset
% 169.84/170.10 | X0 = c_emptyset ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20293]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3129,plain,
% 169.84/170.10 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12194_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20281,plain,
% 169.84/170.10 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3129]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20282,plain,
% 169.84/170.10 ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20281]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3127,plain,
% 169.84/170.10 ( c_List_Oremdups(X0,X1) = X0
% 169.84/170.10 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12195_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20277,plain,
% 169.84/170.10 ( c_List_Oremdups(X0,X1) = X0
% 169.84/170.10 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3127]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20278,plain,
% 169.84/170.10 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 169.84/170.10 | c_List_Oremdups(X0,X1) = X0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20277]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3124,plain,
% 169.84/170.10 ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 169.84/170.10 | ~ c_lessequals(X0,c_0,X1)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12196_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20271,plain,
% 169.84/170.10 ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 169.84/170.10 | ~ c_lessequals(X0,c_0,X1)
% 169.84/170.10 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3124]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20272,plain,
% 169.84/170.10 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.10 | ~ c_lessequals(X1,c_0,X0)
% 169.84/170.10 | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20271]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3122,plain,
% 169.84/170.10 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12200_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20267,plain,
% 169.84/170.10 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3122]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20268,plain,
% 169.84/170.10 ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20267]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3119,plain,
% 169.84/170.10 ( X0 = c_emptyset
% 169.84/170.10 | c_Finite__Set_Ocard(X0,X1) != c_0
% 169.84/170.10 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12204_2) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20261,plain,
% 169.84/170.10 ( X0 = c_emptyset
% 169.84/170.10 | c_Finite__Set_Ocard(X0,X1) != c_0
% 169.84/170.10 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3119]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20262,plain,
% 169.84/170.10 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.84/170.10 | c_Finite__Set_Ocard(X0,X1) != c_0
% 169.84/170.10 | X0 = c_emptyset ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20261]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3115,plain,
% 169.84/170.10 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_nat)
% 169.84/170.10 | ~ class_Power_Orecpower(X0)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12206_3) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20253,plain,
% 169.84/170.10 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_nat)
% 169.84/170.10 | ~ class_Power_Orecpower(X0)
% 169.84/170.10 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3115]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20254,plain,
% 169.84/170.10 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.10 | ~ class_Power_Orecpower(X0)
% 169.84/170.10 | c_Parity_Oeven(X1,tc_nat)
% 169.84/170.10 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 169.84/170.10 inference(rewriting,[status(thm)],[c_20253]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_3109,plain,
% 169.84/170.10 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 169.84/170.10 | ~ class_Orderings_Oorder(X1) ),
% 169.84/170.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12208_1) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20241,plain,
% 169.84/170.10 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 169.84/170.10 | ~ class_Orderings_Oorder(X1) ),
% 169.84/170.10 inference(copy,[status(esa)],[c_3109]) ).
% 169.84/170.10
% 169.84/170.10 cnf(c_20242,plain,
% 169.84/170.10 ( ~ class_Orderings_Oorder(X0)
% 169.84/170.10 | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20241]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3107,plain,
% 169.84/170.11 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12209_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20237,plain,
% 169.84/170.11 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3107]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20238,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20237]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3105,plain,
% 169.84/170.11 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12210_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20233,plain,
% 169.84/170.11 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3105]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20234,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20233]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3101,plain,
% 169.84/170.11 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12211_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20225,plain,
% 169.84/170.11 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3101]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20226,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20225]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3097,plain,
% 169.84/170.11 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 169.84/170.11 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.84/170.11 | ~ class_Power_Orecpower(X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12212_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20217,plain,
% 169.84/170.11 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 169.84/170.11 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.84/170.11 | ~ class_Power_Orecpower(X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3097]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20218,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | ~ class_Power_Orecpower(X0)
% 169.84/170.11 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.84/170.11 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20217]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3091,plain,
% 169.84/170.11 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 169.84/170.11 | X0 = c_List_Olist_ONil ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12218_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20205,plain,
% 169.84/170.11 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 169.84/170.11 | X0 = c_List_Olist_ONil ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3091]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3089,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12219_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20201,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3089]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20202,plain,
% 169.84/170.11 ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 169.84/170.11 | X0 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20201]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3087,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12220_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20197,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3087]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20198,plain,
% 169.84/170.11 ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 169.84/170.11 | X0 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20197]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3084,plain,
% 169.84/170.11 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12221_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20191,plain,
% 169.84/170.11 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3084]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20192,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | ~ c_lessequals(c_0,X1,X0)
% 169.84/170.11 | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20191]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3081,plain,
% 169.84/170.11 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 169.84/170.11 | ~ c_lessequals(X0,c_0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12222_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20185,plain,
% 169.84/170.11 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 169.84/170.11 | ~ c_lessequals(X0,c_0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3081]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20186,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | ~ c_lessequals(X1,c_0,X0)
% 169.84/170.11 | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20185]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3078,plain,
% 169.84/170.11 ( c_HOL_Oabs(X0,X1) = X0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12223_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20179,plain,
% 169.84/170.11 ( c_HOL_Oabs(X0,X1) = X0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3078]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20180,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.11 | ~ c_lessequals(c_0,X1,X0)
% 169.84/170.11 | c_HOL_Oabs(X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20179]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3076,plain,
% 169.84/170.11 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12224_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20175,plain,
% 169.84/170.11 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3076]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20176,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.11 | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20175]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3073,plain,
% 169.84/170.11 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 169.84/170.11 | ~ c_lessequals(X0,c_0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12225_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20169,plain,
% 169.84/170.11 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 169.84/170.11 | ~ c_lessequals(X0,c_0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3073]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20170,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | ~ c_lessequals(X1,c_0,X0)
% 169.84/170.11 | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20169]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3070,plain,
% 169.84/170.11 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12226_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20163,plain,
% 169.84/170.11 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3070]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20164,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | ~ c_lessequals(c_0,X1,X0)
% 169.84/170.11 | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20163]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3068,plain,
% 169.84/170.11 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 169.84/170.11 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12227_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20159,plain,
% 169.84/170.11 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 169.84/170.11 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3068]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20160,plain,
% 169.84/170.11 ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 169.84/170.11 | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20159]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3065,plain,
% 169.84/170.11 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 169.84/170.11 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.84/170.11 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12228_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20153,plain,
% 169.84/170.11 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 169.84/170.11 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.84/170.11 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3065]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20154,plain,
% 169.84/170.11 ( ~ class_Power_Orecpower(X0)
% 169.84/170.11 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 169.84/170.11 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20153]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3064,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(X1,X2,X0) != c_0
% 169.84/170.11 | X2 = c_0
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12229_0) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20151,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(X1,X2,X0) != c_0
% 169.84/170.11 | X2 = c_0
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3064]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3060,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_divide(X0,X1,X2) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12229_4) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20143,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_divide(X0,X1,X2) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3060]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20144,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(X1,X2,X0) != c_0
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | X2 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20143]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3048,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_divide(X1,X0,X2) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12232_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20119,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_divide(X1,X0,X2) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3048]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20120,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | c_divide(X1,X2,X0) != c_1
% 169.84/170.11 | X2 = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20119]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3044,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_divide(X0,X1,X2) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12233_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20111,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_divide(X0,X1,X2) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3044]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20112,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(X1,X2,X0) != c_1
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20111]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3038,plain,
% 169.84/170.11 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.11 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12238_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20099,plain,
% 169.84/170.11 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.11 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3038]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20100,plain,
% 169.84/170.11 ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 169.84/170.11 | c_Union(X0,X1) = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20099]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3036,plain,
% 169.84/170.11 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.11 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12239_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20095,plain,
% 169.84/170.11 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.11 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3036]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20096,plain,
% 169.84/170.11 ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 169.84/170.11 | c_Union(X0,X1) = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20095]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3034,plain,
% 169.84/170.11 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.11 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12240_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20091,plain,
% 169.84/170.11 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.11 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3034]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20092,plain,
% 169.84/170.11 ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 169.84/170.11 | c_Inter(X0,X1) = c_UNIV ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20091]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3032,plain,
% 169.84/170.11 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.11 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12241_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20087,plain,
% 169.84/170.11 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.11 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3032]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20088,plain,
% 169.84/170.11 ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 169.84/170.11 | c_Inter(X0,X1) = c_UNIV ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20087]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3030,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12242_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20083,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3030]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3027,plain,
% 169.84/170.11 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12243_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20077,plain,
% 169.84/170.11 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3027]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20078,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20077]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3011,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_divide(c_1,X0,X1) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12247_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20045,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_divide(c_1,X0,X1) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3011]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20046,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | c_divide(c_1,X1,X0) != c_0
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20045]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3009,plain,
% 169.84/170.11 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12248_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20041,plain,
% 169.84/170.11 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3009]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20042,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20041]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3007,plain,
% 169.84/170.11 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12249_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20037,plain,
% 169.84/170.11 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3007]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20038,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20037]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_3005,plain,
% 169.84/170.11 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12251_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20033,plain,
% 169.84/170.11 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_3005]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20034,plain,
% 169.84/170.11 ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20033]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2999,plain,
% 169.84/170.11 ( c_divide(X0,c_0,X1) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12253_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20021,plain,
% 169.84/170.11 ( c_divide(X0,c_0,X1) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2999]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20022,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | c_divide(X1,c_0,X0) != c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20021]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2991,plain,
% 169.84/170.11 ( X0 = c_1
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_times(X0,X1,X2) != X1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12255_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20005,plain,
% 169.84/170.11 ( X0 = c_1
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_times(X0,X1,X2) != X1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2991]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_20006,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.11 | c_times(X1,X2,X0) != X2
% 169.84/170.11 | X1 = c_1
% 169.84/170.11 | X2 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_20005]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2983,plain,
% 169.84/170.11 ( X0 = c_1
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_times(X1,X0,X2) != X1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12257_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19989,plain,
% 169.84/170.11 ( X0 = c_1
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_times(X1,X0,X2) != X1
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2983]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19990,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.11 | c_times(X1,X2,X0) != X1
% 169.84/170.11 | X2 = c_1
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19989]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2982,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.11 | c_times(X1,X2,X0) != c_0
% 169.84/170.11 | X2 = c_0
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12259_0) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19987,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.11 | c_times(X1,X2,X0) != c_0
% 169.84/170.11 | X2 = c_0
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2982]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2979,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_times(X0,X1,X2) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12259_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19981,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_times(X0,X1,X2) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2979]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19982,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.11 | c_times(X1,X2,X0) != c_0
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | X2 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19981]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2976,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.84/170.11 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.84/170.11 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12260_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19975,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.84/170.11 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.84/170.11 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2976]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19976,plain,
% 169.84/170.11 ( ~ class_Power_Orecpower(X0)
% 169.84/170.11 | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 169.84/170.11 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19975]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2973,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_minus(X0,X1,X2) != c_0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12262_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19969,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_minus(X0,X1,X2) != c_0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2973]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19970,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_minus(X1,X2,X0) != c_0
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19969]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2971,plain,
% 169.84/170.11 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12263_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19965,plain,
% 169.84/170.11 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2971]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19966,plain,
% 169.84/170.11 ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19965]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2968,plain,
% 169.84/170.11 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12266_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19959,plain,
% 169.84/170.11 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2968]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19960,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19959]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2965,plain,
% 169.84/170.11 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12267_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19953,plain,
% 169.84/170.11 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2965]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19954,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19953]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2962,plain,
% 169.84/170.11 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12268_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19947,plain,
% 169.84/170.11 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2962]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19948,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19947]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2960,plain,
% 169.84/170.11 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12270_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19943,plain,
% 169.84/170.11 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2960]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19944,plain,
% 169.84/170.11 ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19943]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2958,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12274_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19939,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 169.84/170.11 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2958]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19940,plain,
% 169.84/170.11 ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19939]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2956,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12275_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19935,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2956]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19936,plain,
% 169.84/170.11 ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19935]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2948,plain,
% 169.84/170.11 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12278_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19919,plain,
% 169.84/170.11 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2948]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2946,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12279_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19915,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2946]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19916,plain,
% 169.84/170.11 ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 169.84/170.11 | X0 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19915]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2944,plain,
% 169.84/170.11 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 169.84/170.11 | c_List_Oremdups(X0,X1) != X0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12281_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19911,plain,
% 169.84/170.11 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 169.84/170.11 | c_List_Oremdups(X0,X1) != X0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2944]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2939,plain,
% 169.84/170.11 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12283_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19901,plain,
% 169.84/170.11 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2939]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19902,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19901]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2936,plain,
% 169.84/170.11 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12284_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19895,plain,
% 169.84/170.11 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2936]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19896,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19895]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2933,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12285_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19889,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | X1 = c_0
% 169.84/170.11 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2933]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19890,plain,
% 169.84/170.11 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | X1 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19889]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2919,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12292_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19861,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2919]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19862,plain,
% 169.84/170.11 ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19861]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2917,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12293_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19857,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2917]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19858,plain,
% 169.84/170.11 ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19857]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2915,plain,
% 169.84/170.11 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12294_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19853,plain,
% 169.84/170.11 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2915]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19854,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19853]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2913,plain,
% 169.84/170.11 ( ~ c_lessequals(c_1,c_0,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12295_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19849,plain,
% 169.84/170.11 ( ~ c_lessequals(c_1,c_0,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2913]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19850,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.11 | ~ c_lessequals(c_1,c_0,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19849]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2910,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12296_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19843,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2910]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19844,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.11 | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19843]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2908,plain,
% 169.84/170.11 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12297_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19839,plain,
% 169.84/170.11 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2908]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19840,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19839]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2906,plain,
% 169.84/170.11 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12298_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19835,plain,
% 169.84/170.11 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2906]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19836,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19835]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2904,plain,
% 169.84/170.11 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12299_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19831,plain,
% 169.84/170.11 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2904]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19832,plain,
% 169.84/170.11 ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19831]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2902,plain,
% 169.84/170.11 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12300_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19827,plain,
% 169.84/170.11 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2902]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19828,plain,
% 169.84/170.11 ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19827]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2900,plain,
% 169.84/170.11 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12301_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19823,plain,
% 169.84/170.11 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2900]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19824,plain,
% 169.84/170.11 ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19823]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2898,plain,
% 169.84/170.11 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12302_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19819,plain,
% 169.84/170.11 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2898]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19820,plain,
% 169.84/170.11 ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19819]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2896,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12303_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19815,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil
% 169.84/170.11 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2896]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19816,plain,
% 169.84/170.11 ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 169.84/170.11 | X1 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19815]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2890,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12306_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19803,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2890]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19804,plain,
% 169.84/170.11 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19803]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2888,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12307_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19799,plain,
% 169.84/170.11 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2888]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19800,plain,
% 169.84/170.11 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19799]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2884,plain,
% 169.84/170.11 ( X0 = c_emptyset
% 169.84/170.11 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12309_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19791,plain,
% 169.84/170.11 ( X0 = c_emptyset
% 169.84/170.11 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2884]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19792,plain,
% 169.84/170.11 ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 169.84/170.11 | X0 = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19791]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2883,plain,
% 169.84/170.11 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12312_0) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19789,plain,
% 169.84/170.11 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2883]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2881,plain,
% 169.84/170.11 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12312_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19785,plain,
% 169.84/170.11 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2881]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19786,plain,
% 169.84/170.11 ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19785]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2879,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12313_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19781,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2879]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19782,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19781]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2877,plain,
% 169.84/170.11 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12314_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19777,plain,
% 169.84/170.11 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2877]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19778,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19777]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2875,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12315_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19773,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2875]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19774,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.11 | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19773]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2873,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12316_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19769,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2873]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19770,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.11 | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19769]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2871,plain,
% 169.84/170.11 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12317_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19765,plain,
% 169.84/170.11 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2871]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19766,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.11 | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19765]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2869,plain,
% 169.84/170.11 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12323_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19761,plain,
% 169.84/170.11 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2869]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19762,plain,
% 169.84/170.11 ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19761]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2867,plain,
% 169.84/170.11 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12324_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19757,plain,
% 169.84/170.11 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2867]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19758,plain,
% 169.84/170.11 ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19757]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2865,plain,
% 169.84/170.11 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12325_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19753,plain,
% 169.84/170.11 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2865]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19754,plain,
% 169.84/170.11 ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19753]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2863,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12329_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19749,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2863]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19750,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.11 | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19749]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2861,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12333_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19745,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2861]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19746,plain,
% 169.84/170.11 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19745]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2859,plain,
% 169.84/170.11 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12334_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19741,plain,
% 169.84/170.11 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2859]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19742,plain,
% 169.84/170.11 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19741]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2857,plain,
% 169.84/170.11 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12335_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19737,plain,
% 169.84/170.11 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2857]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19738,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19737]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2855,plain,
% 169.84/170.11 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12336_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19733,plain,
% 169.84/170.11 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2855]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19734,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.11 | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19733]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2853,plain,
% 169.84/170.11 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12337_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19729,plain,
% 169.84/170.11 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2853]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19730,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.11 | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19729]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2851,plain,
% 169.84/170.11 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12338_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19725,plain,
% 169.84/170.11 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2851]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19726,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.11 | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19725]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2849,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12339_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19721,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2849]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19722,plain,
% 169.84/170.11 ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19721]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2847,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12340_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19717,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2847]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19718,plain,
% 169.84/170.11 ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19717]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2845,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12341_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19713,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2845]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19714,plain,
% 169.84/170.11 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19713]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2843,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12342_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19709,plain,
% 169.84/170.11 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2843]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19710,plain,
% 169.84/170.11 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19709]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2841,plain,
% 169.84/170.11 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12343_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19705,plain,
% 169.84/170.11 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2841]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19706,plain,
% 169.84/170.11 ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19705]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2839,plain,
% 169.84/170.11 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12346_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19701,plain,
% 169.84/170.11 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2839]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19702,plain,
% 169.84/170.11 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19701]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2837,plain,
% 169.84/170.11 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12353_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19697,plain,
% 169.84/170.11 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2837]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19698,plain,
% 169.84/170.11 ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19697]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2835,plain,
% 169.84/170.11 ( c_List_Odistinct(X0,X1)
% 169.84/170.11 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12354_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19693,plain,
% 169.84/170.11 ( c_List_Odistinct(X0,X1)
% 169.84/170.11 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2835]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19694,plain,
% 169.84/170.11 ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 169.84/170.11 | c_List_Odistinct(X0,X1) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19693]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2830,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12357_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19683,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2830]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19684,plain,
% 169.84/170.11 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19683]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2828,plain,
% 169.84/170.11 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12358_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19679,plain,
% 169.84/170.11 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2828]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19680,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19679]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2826,plain,
% 169.84/170.11 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 169.84/170.11 | c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12359_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19675,plain,
% 169.84/170.11 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 169.84/170.11 | c_lessequals(X0,X1,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2826]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19676,plain,
% 169.84/170.11 ( c_lessequals(X0,X1,tc_nat)
% 169.84/170.11 | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19675]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2824,plain,
% 169.84/170.11 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 169.84/170.11 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12360_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19671,plain,
% 169.84/170.11 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 169.84/170.11 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2824]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19672,plain,
% 169.84/170.11 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.84/170.11 | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19671]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2813,plain,
% 169.84/170.11 ( c_divide(X0,X0,X1) = c_1
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12366_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19649,plain,
% 169.84/170.11 ( c_divide(X0,X0,X1) = c_1
% 169.84/170.11 | X0 = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2813]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19650,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | c_divide(X1,X1,X0) = c_1
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19649]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2811,plain,
% 169.84/170.11 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.84/170.11 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12369_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19645,plain,
% 169.84/170.11 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.84/170.11 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2811]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19646,plain,
% 169.84/170.11 ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19645]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2805,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.84/170.11 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12372_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19633,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.84/170.11 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2805]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19634,plain,
% 169.84/170.11 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19633]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2803,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12373_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19629,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.84/170.11 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2803]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19630,plain,
% 169.84/170.11 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19629]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2801,plain,
% 169.84/170.11 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 169.84/170.11 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12374_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19625,plain,
% 169.84/170.11 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 169.84/170.11 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2801]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2799,plain,
% 169.84/170.11 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 169.84/170.11 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12375_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19621,plain,
% 169.84/170.11 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 169.84/170.11 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2799]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2796,plain,
% 169.84/170.11 ( c_divide(X0,c_0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12377_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19615,plain,
% 169.84/170.11 ( c_divide(X0,c_0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2796]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19616,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(X1,c_0,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19615]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2793,plain,
% 169.84/170.11 ( c_divide(c_0,X0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12378_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19609,plain,
% 169.84/170.11 ( c_divide(c_0,X0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2793]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19610,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(c_0,X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19609]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2791,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12379_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19605,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2791]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19606,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19605]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2789,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12380_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19601,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2789]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19602,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19601]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2787,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12381_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19597,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2787]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19598,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19597]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2785,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12382_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19593,plain,
% 169.84/170.11 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2785]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19594,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19593]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2783,plain,
% 169.84/170.11 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12383_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19589,plain,
% 169.84/170.11 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2783]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19590,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19589]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2781,plain,
% 169.84/170.11 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12384_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19585,plain,
% 169.84/170.11 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2781]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19586,plain,
% 169.84/170.11 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19585]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2775,plain,
% 169.84/170.11 ( c_divide(c_1,c_0,X0) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12388_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19573,plain,
% 169.84/170.11 ( c_divide(c_1,c_0,X0) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2775]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19574,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.84/170.11 | c_divide(c_1,c_0,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19573]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2772,plain,
% 169.84/170.11 ( c_divide(c_0,c_0,X0) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12389_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19567,plain,
% 169.84/170.11 ( c_divide(c_0,c_0,X0) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2772]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19568,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_divide(c_0,c_0,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19567]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2770,plain,
% 169.84/170.11 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12390_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19563,plain,
% 169.84/170.11 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2770]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19564,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19563]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2768,plain,
% 169.84/170.11 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12391_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19559,plain,
% 169.84/170.11 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2768]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19560,plain,
% 169.84/170.11 ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19559]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2766,plain,
% 169.84/170.11 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12392_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19555,plain,
% 169.84/170.11 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2766]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2764,plain,
% 169.84/170.11 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 169.84/170.11 | ~ c_List_Odistinct(X0,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12393_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19551,plain,
% 169.84/170.11 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 169.84/170.11 | ~ c_List_Odistinct(X0,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2764]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2762,plain,
% 169.84/170.11 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12394_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19547,plain,
% 169.84/170.11 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2762]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19548,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19547]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2760,plain,
% 169.84/170.11 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12395_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19543,plain,
% 169.84/170.11 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2760]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19544,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19543]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2758,plain,
% 169.84/170.11 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12396_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19539,plain,
% 169.84/170.11 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2758]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19540,plain,
% 169.84/170.11 ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19539]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2756,plain,
% 169.84/170.11 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12397_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19535,plain,
% 169.84/170.11 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2756]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19536,plain,
% 169.84/170.11 ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19535]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2754,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 169.84/170.11 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12398_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19531,plain,
% 169.84/170.11 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 169.84/170.11 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2754]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19532,plain,
% 169.84/170.11 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.84/170.11 | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19531]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2752,plain,
% 169.84/170.11 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12399_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19527,plain,
% 169.84/170.11 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2752]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19528,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19527]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2750,plain,
% 169.84/170.11 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12400_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19523,plain,
% 169.84/170.11 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2750]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19524,plain,
% 169.84/170.11 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19523]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2748,plain,
% 169.84/170.11 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12401_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19519,plain,
% 169.84/170.11 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2748]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19520,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19519]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2746,plain,
% 169.84/170.11 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12402_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19515,plain,
% 169.84/170.11 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2746]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19516,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19515]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2744,plain,
% 169.84/170.11 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12403_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19511,plain,
% 169.84/170.11 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2744]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19512,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19511]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2742,plain,
% 169.84/170.11 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12404_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19507,plain,
% 169.84/170.11 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2742]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19508,plain,
% 169.84/170.11 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19507]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2740,plain,
% 169.84/170.11 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12405_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19503,plain,
% 169.84/170.11 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2740]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19504,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19503]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2738,plain,
% 169.84/170.11 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12406_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19499,plain,
% 169.84/170.11 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2738]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19500,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19499]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2736,plain,
% 169.84/170.11 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12407_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19495,plain,
% 169.84/170.11 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2736]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19496,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19495]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2734,plain,
% 169.84/170.11 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12408_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19491,plain,
% 169.84/170.11 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2734]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19492,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19491]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2732,plain,
% 169.84/170.11 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12409_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19487,plain,
% 169.84/170.11 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2732]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19488,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19487]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2730,plain,
% 169.84/170.11 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12410_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19483,plain,
% 169.84/170.11 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2730]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19484,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.11 | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19483]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2728,plain,
% 169.84/170.11 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12411_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19479,plain,
% 169.84/170.11 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.84/170.11 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2728]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19480,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.11 | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19479]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2724,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12414_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19471,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2724]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19472,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19471]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2722,plain,
% 169.84/170.11 ( c_times(X0,c_0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12416_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19467,plain,
% 169.84/170.11 ( c_times(X0,c_0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2722]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19468,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.11 | c_times(X1,c_0,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19467]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2720,plain,
% 169.84/170.11 ( c_times(c_0,X0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12417_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19463,plain,
% 169.84/170.11 ( c_times(c_0,X0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2720]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19464,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.11 | c_times(c_0,X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19463]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2718,plain,
% 169.84/170.11 ( c_times(X0,c_0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12418_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19459,plain,
% 169.84/170.11 ( c_times(X0,c_0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2718]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19460,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.11 | c_times(X1,c_0,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19459]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2716,plain,
% 169.84/170.11 ( c_times(c_0,X0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12419_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19455,plain,
% 169.84/170.11 ( c_times(c_0,X0,X1) = c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2716]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19456,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.11 | c_times(c_0,X1,X0) = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19455]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2714,plain,
% 169.84/170.11 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12420_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19451,plain,
% 169.84/170.11 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2714]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19452,plain,
% 169.84/170.11 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19451]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2712,plain,
% 169.84/170.11 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12421_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19447,plain,
% 169.84/170.11 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2712]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19448,plain,
% 169.84/170.11 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19447]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2710,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_1,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12430_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19443,plain,
% 169.84/170.11 ( c_lessequals(c_0,c_1,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2710]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19444,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.11 | c_lessequals(c_0,c_1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19443]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2708,plain,
% 169.84/170.11 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12431_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19439,plain,
% 169.84/170.11 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2708]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19440,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19439]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2706,plain,
% 169.84/170.11 ( c_in(c_1,c_IntDef_ONats,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12432_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19435,plain,
% 169.84/170.11 ( c_in(c_1,c_IntDef_ONats,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2706]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19436,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.11 | c_in(c_1,c_IntDef_ONats,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19435]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2704,plain,
% 169.84/170.11 ( c_in(c_0,c_IntDef_ONats,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12433_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19431,plain,
% 169.84/170.11 ( c_in(c_0,c_IntDef_ONats,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2704]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19432,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.11 | c_in(c_0,c_IntDef_ONats,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19431]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2702,plain,
% 169.84/170.11 ( c_in(c_1,c_IntDef_OInts,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12434_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19427,plain,
% 169.84/170.11 ( c_in(c_1,c_IntDef_OInts,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2702]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19428,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.11 | c_in(c_1,c_IntDef_OInts,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19427]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2700,plain,
% 169.84/170.11 ( c_in(c_0,c_IntDef_OInts,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12435_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19423,plain,
% 169.84/170.11 ( c_in(c_0,c_IntDef_OInts,X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2700]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19424,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.11 | c_in(c_0,c_IntDef_OInts,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19423]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2698,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12436_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19419,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2698]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19420,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.11 | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19419]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2696,plain,
% 169.84/170.11 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12445_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19415,plain,
% 169.84/170.11 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.84/170.11 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2696]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2693,plain,
% 169.84/170.11 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12448_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19409,plain,
% 169.84/170.11 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2693]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19410,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19409]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2691,plain,
% 169.84/170.11 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12450_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19405,plain,
% 169.84/170.11 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2691]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2689,plain,
% 169.84/170.11 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 169.84/170.11 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12452_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19401,plain,
% 169.84/170.11 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 169.84/170.11 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2689]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19402,plain,
% 169.84/170.11 ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 169.84/170.11 | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19401]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2686,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12469_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19395,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2686]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19396,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19395]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2683,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12470_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19389,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2683]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19390,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19389]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2680,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12471_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19383,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2680]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19384,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19383]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2677,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12472_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19377,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 169.84/170.11 | ~ class_Orderings_Olinorder(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2677]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19378,plain,
% 169.84/170.11 ( ~ class_Orderings_Olinorder(X0)
% 169.84/170.11 | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19377]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2674,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12473_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19371,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2674]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19372,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_uminus(X1,X0) != c_uminus(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19371]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2671,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12474_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19365,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2671]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19366,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.11 | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19365]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2668,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12475_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19359,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 169.84/170.11 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2668]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19360,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.11 | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 169.84/170.11 | X1 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19359]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2666,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12476_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19355,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2666]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19356,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19355]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2664,plain,
% 169.84/170.11 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12486_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19351,plain,
% 169.84/170.11 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2664]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19352,plain,
% 169.84/170.11 ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19351]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2658,plain,
% 169.84/170.11 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | ~ class_HOL_Oone(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12537_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19339,plain,
% 169.84/170.11 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | ~ class_HOL_Oone(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2658]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19340,plain,
% 169.84/170.11 ( ~ class_HOL_Oone(X0)
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19339]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2651,plain,
% 169.84/170.11 ( X0 = c_uminus(c_1,X1)
% 169.84/170.11 | c_uminus(X0,X1) != c_1
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.84/170.11 | ~ class_HOL_Oone(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12539_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19325,plain,
% 169.84/170.11 ( X0 = c_uminus(c_1,X1)
% 169.84/170.11 | c_uminus(X0,X1) != c_1
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.84/170.11 | ~ class_HOL_Oone(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2651]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19326,plain,
% 169.84/170.11 ( ~ class_HOL_Oone(X0)
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_uminus(X1,X0) != c_1
% 169.84/170.11 | X1 = c_uminus(c_1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19325]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2649,plain,
% 169.84/170.11 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12540_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19321,plain,
% 169.84/170.11 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2649]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2647,plain,
% 169.84/170.11 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12546_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19317,plain,
% 169.84/170.11 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 169.84/170.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2647]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19318,plain,
% 169.84/170.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.11 | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19317]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2645,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OCrypt(X2,X0) != c_Message_Omsg_OCrypt(X3,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12547_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19313,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OCrypt(X2,X0) != c_Message_Omsg_OCrypt(X3,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2645]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19314,plain,
% 169.84/170.11 ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
% 169.84/170.11 | X1 = X3 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19313]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2643,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OCrypt(X0,X2) != c_Message_Omsg_OCrypt(X1,X3) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12548_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19309,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OCrypt(X0,X2) != c_Message_Omsg_OCrypt(X1,X3) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2643]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19310,plain,
% 169.84/170.11 ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
% 169.84/170.11 | X0 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19309]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2641,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OMPair(X2,X0) != c_Message_Omsg_OMPair(X3,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12549_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19305,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OMPair(X2,X0) != c_Message_Omsg_OMPair(X3,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2641]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19306,plain,
% 169.84/170.11 ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
% 169.84/170.11 | X1 = X3 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19305]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2639,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OMPair(X0,X2) != c_Message_Omsg_OMPair(X1,X3) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12550_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19301,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Message_Omsg_OMPair(X0,X2) != c_Message_Omsg_OMPair(X1,X3) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2639]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19302,plain,
% 169.84/170.11 ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
% 169.84/170.11 | X0 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19301]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2637,plain,
% 169.84/170.11 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12551_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19297,plain,
% 169.84/170.11 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2637]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19298,plain,
% 169.84/170.11 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19297]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2635,plain,
% 169.84/170.11 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12552_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19293,plain,
% 169.84/170.11 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2635]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19294,plain,
% 169.84/170.11 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19293]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2633,plain,
% 169.84/170.11 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12553_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19289,plain,
% 169.84/170.11 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2633]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19290,plain,
% 169.84/170.11 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19289]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2631,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12554_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19285,plain,
% 169.84/170.11 ( X0 = X1
% 169.84/170.11 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2631]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19286,plain,
% 169.84/170.11 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 169.84/170.11 | X0 = X2 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19285]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2628,plain,
% 169.84/170.11 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X0)
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12559_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19279,plain,
% 169.84/170.11 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X0)
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2628]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2625,plain,
% 169.84/170.11 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X0)
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12560_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19273,plain,
% 169.84/170.11 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X0)
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2625]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2622,plain,
% 169.84/170.11 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X0)
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12561_2) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19267,plain,
% 169.84/170.11 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X0)
% 169.84/170.11 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2622]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2620,plain,
% 169.84/170.11 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12562_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19263,plain,
% 169.84/170.11 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2620]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19264,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19263]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2618,plain,
% 169.84/170.11 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 169.84/170.11 | X0 = c_Datatype_Ooption_ONone ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12563_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19259,plain,
% 169.84/170.11 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 169.84/170.11 | X0 = c_Datatype_Ooption_ONone ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2618]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2616,plain,
% 169.84/170.11 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 169.84/170.11 | X0 = c_Datatype_Ooption_ONone ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12564_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19255,plain,
% 169.84/170.11 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 169.84/170.11 | X0 = c_Datatype_Ooption_ONone ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2616]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2614,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12565_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19251,plain,
% 169.84/170.11 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 169.84/170.11 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2614]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19252,plain,
% 169.84/170.11 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.11 | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19251]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2612,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12566_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19247,plain,
% 169.84/170.11 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2612]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19248,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.11 | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19247]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2608,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_HOL_Oinverse(X0,X1) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12578_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19239,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_HOL_Oinverse(X0,X1) != c_0
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2608]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19240,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_HOL_Oinverse(X1,X0) != c_0
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19239]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2604,plain,
% 169.84/170.11 ( X0 = c_1
% 169.84/170.11 | c_HOL_Oinverse(X0,X1) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12579_3) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19231,plain,
% 169.84/170.11 ( X0 = c_1
% 169.84/170.11 | c_HOL_Oinverse(X0,X1) != c_1
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X1)
% 169.84/170.11 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2604]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19232,plain,
% 169.84/170.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.11 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.11 | c_HOL_Oinverse(X1,X0) != c_1
% 169.84/170.11 | X1 = c_1 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19231]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2602,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12580_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19227,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2602]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19228,plain,
% 169.84/170.11 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 169.84/170.11 | X1 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19227]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2600,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12581_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19223,plain,
% 169.84/170.11 ( X0 = c_0
% 169.84/170.11 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 169.84/170.11 inference(copy,[status(esa)],[c_2600]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19224,plain,
% 169.84/170.11 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 169.84/170.11 | X0 = c_0 ),
% 169.84/170.11 inference(rewriting,[status(thm)],[c_19223]) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_2598,plain,
% 169.84/170.11 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.11 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 169.84/170.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12582_1) ).
% 169.84/170.11
% 169.84/170.11 cnf(c_19219,plain,
% 169.84/170.11 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.11 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2598]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2596,plain,
% 169.84/170.12 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.12 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12583_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19215,plain,
% 169.84/170.12 ( c_Union(X0,X1) = c_emptyset
% 169.84/170.12 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2596]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2594,plain,
% 169.84/170.12 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.12 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12584_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19211,plain,
% 169.84/170.12 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.12 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2594]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2592,plain,
% 169.84/170.12 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.12 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12585_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19207,plain,
% 169.84/170.12 ( c_Inter(X0,X1) = c_UNIV
% 169.84/170.12 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2592]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2590,plain,
% 169.84/170.12 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.12 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12586_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19203,plain,
% 169.84/170.12 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.12 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2590]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2588,plain,
% 169.84/170.12 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.12 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12587_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19199,plain,
% 169.84/170.12 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.84/170.12 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2588]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2586,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12589_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19195,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2586]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19196,plain,
% 169.84/170.12 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19195]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2584,plain,
% 169.84/170.12 ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 169.84/170.12 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12591_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19191,plain,
% 169.84/170.12 ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 169.84/170.12 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2584]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19192,plain,
% 169.84/170.12 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.12 | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19191]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2582,plain,
% 169.84/170.12 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12592_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19187,plain,
% 169.84/170.12 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2582]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2579,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_uminus(X0,X1) != c_0
% 169.84/170.12 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12593_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19181,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_uminus(X0,X1) != c_0
% 169.84/170.12 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2579]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19182,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | c_uminus(X1,X0) != c_0
% 169.84/170.12 | X1 = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19181]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2576,plain,
% 169.84/170.12 ( c_0 = X0
% 169.84/170.12 | c_uminus(X0,X1) != c_0
% 169.84/170.12 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12594_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19175,plain,
% 169.84/170.12 ( c_0 = X0
% 169.84/170.12 | c_uminus(X0,X1) != c_0
% 169.84/170.12 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2576]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19176,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | c_0 = X1
% 169.84/170.12 | c_uminus(X1,X0) != c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19175]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2570,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_HOL_Oabs(X0,X1) != c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12596_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19163,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_HOL_Oabs(X0,X1) != c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2570]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19164,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.12 | c_HOL_Oabs(X1,X0) != c_0
% 169.84/170.12 | X1 = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19163]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2567,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12597_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19157,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2567]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19158,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.12 | c_NatArith_Oof__nat(X1,X0) != c_0
% 169.84/170.12 | X1 = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19157]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2564,plain,
% 169.84/170.12 ( c_0 = X0
% 169.84/170.12 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12598_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19151,plain,
% 169.84/170.12 ( c_0 = X0
% 169.84/170.12 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2564]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19152,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.12 | c_0 = X1
% 169.84/170.12 | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19151]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2561,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12599_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19145,plain,
% 169.84/170.12 ( X0 = c_0
% 169.84/170.12 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2561]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19146,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.12 | c_IntDef_Oof__int(X1,X0) != c_0
% 169.84/170.12 | X1 = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19145]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2558,plain,
% 169.84/170.12 ( c_0 = X0
% 169.84/170.12 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12600_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19139,plain,
% 169.84/170.12 ( c_0 = X0
% 169.84/170.12 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2558]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19140,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.12 | c_0 = X1
% 169.84/170.12 | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19139]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2556,plain,
% 169.84/170.12 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12603_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19135,plain,
% 169.84/170.12 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2556]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19136,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19135]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2554,plain,
% 169.84/170.12 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12604_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19131,plain,
% 169.84/170.12 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2554]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19132,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19131]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2552,plain,
% 169.84/170.12 ( ~ c_IntDef_Oiszero(c_1,X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12605_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19127,plain,
% 169.84/170.12 ( ~ c_IntDef_Oiszero(c_1,X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2552]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19128,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.12 | ~ c_IntDef_Oiszero(c_1,X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19127]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2549,plain,
% 169.84/170.12 ( c_HOL_Oinverse(c_0,X0) = c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12606_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19121,plain,
% 169.84/170.12 ( c_HOL_Oinverse(c_0,X0) = c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2549]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19122,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.12 | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19121]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2546,plain,
% 169.84/170.12 ( c_HOL_Oinverse(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12607_2) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19115,plain,
% 169.84/170.12 ( c_HOL_Oinverse(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2546]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19116,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Ofield(X0)
% 169.84/170.12 | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19115]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2542,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12610_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19107,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2542]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19108,plain,
% 169.84/170.12 ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19107]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2540,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12611_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19103,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2540]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19104,plain,
% 169.84/170.12 ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19103]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2534,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12614_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19091,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2534]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19092,plain,
% 169.84/170.12 ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19091]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2532,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12615_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19087,plain,
% 169.84/170.12 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2532]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19088,plain,
% 169.84/170.12 ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19087]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2530,plain,
% 169.84/170.12 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12616_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19083,plain,
% 169.84/170.12 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2530]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19084,plain,
% 169.84/170.12 ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19083]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2528,plain,
% 169.84/170.12 ( c_HOL_Oabs(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12620_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19079,plain,
% 169.84/170.12 ( c_HOL_Oabs(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2528]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19080,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.12 | c_HOL_Oabs(c_1,X0) = c_1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19079]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2526,plain,
% 169.84/170.12 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12621_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19075,plain,
% 169.84/170.12 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2526]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19076,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.12 | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19075]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2524,plain,
% 169.84/170.12 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12622_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19071,plain,
% 169.84/170.12 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2524]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19072,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.12 | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19071]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2520,plain,
% 169.84/170.12 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12624_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19063,plain,
% 169.84/170.12 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2520]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19064,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19063]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2516,plain,
% 169.84/170.12 ( c_HOL_Oabs(c_0,X0) = c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12626_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19055,plain,
% 169.84/170.12 ( c_HOL_Oabs(c_0,X0) = c_0
% 169.84/170.12 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2516]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19056,plain,
% 169.84/170.12 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.12 | c_HOL_Oabs(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19055]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2514,plain,
% 169.84/170.12 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 169.84/170.12 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12627_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19051,plain,
% 169.84/170.12 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 169.84/170.12 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2514]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19052,plain,
% 169.84/170.12 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.12 | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19051]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2510,plain,
% 169.84/170.12 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12629_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19043,plain,
% 169.84/170.12 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2510]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19044,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.12 | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19043]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2508,plain,
% 169.84/170.12 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12630_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19039,plain,
% 169.84/170.12 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2508]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19040,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.12 | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19039]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2504,plain,
% 169.84/170.12 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12632_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19031,plain,
% 169.84/170.12 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 169.84/170.12 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2504]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19032,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.12 | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19031]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2502,plain,
% 169.84/170.12 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12633_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19027,plain,
% 169.84/170.12 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2502]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19028,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.12 | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19027]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2500,plain,
% 169.84/170.12 ( class_Finite__Set_Ofinite(tc_set(X0))
% 169.84/170.12 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12647_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19023,plain,
% 169.84/170.12 ( class_Finite__Set_Ofinite(tc_set(X0))
% 169.84/170.12 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2500]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2498,plain,
% 169.84/170.12 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 169.84/170.12 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12648_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19019,plain,
% 169.84/170.12 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 169.84/170.12 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2498]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2496,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12652_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19015,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2496]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19016,plain,
% 169.84/170.12 ( c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19015]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2494,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12653_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19011,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2494]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19012,plain,
% 169.84/170.12 ( c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19011]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2492,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12654_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19007,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2492]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19008,plain,
% 169.84/170.12 ( c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19007]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2490,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12655_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19003,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2490]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19004,plain,
% 169.84/170.12 ( c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_19003]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2488,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12656_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18999,plain,
% 169.84/170.12 ( X0 = X1 | c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2488]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_19000,plain,
% 169.84/170.12 ( c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18999]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2486,plain,
% 169.84/170.12 ( X0 = X1
% 169.84/170.12 | c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12657_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18995,plain,
% 169.84/170.12 ( X0 = X1
% 169.84/170.12 | c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2486]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18996,plain,
% 169.84/170.12 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1)
% 169.84/170.12 | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18995]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2484,plain,
% 169.84/170.12 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12658_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18991,plain,
% 169.84/170.12 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2484]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18992,plain,
% 169.84/170.12 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18991]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2482,plain,
% 169.84/170.12 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12659_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18987,plain,
% 169.84/170.12 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2482]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18988,plain,
% 169.84/170.12 ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18987]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2480,plain,
% 169.84/170.12 ( class_Orderings_Olinorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12695_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18983,plain,
% 169.84/170.12 ( class_Orderings_Olinorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2480]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2478,plain,
% 169.84/170.12 ( class_LOrder_Olorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12696_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18979,plain,
% 169.84/170.12 ( class_LOrder_Olorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2478]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2476,plain,
% 169.84/170.12 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12697_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18975,plain,
% 169.84/170.12 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2476]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2474,plain,
% 169.84/170.12 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12698_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18971,plain,
% 169.84/170.12 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2474]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2472,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12699_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18967,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2472]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2470,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12700_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18963,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2470]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2468,plain,
% 169.84/170.12 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12701_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18959,plain,
% 169.84/170.12 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2468]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2466,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12702_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18955,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2466]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2464,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12703_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18951,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2464]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18952,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18951]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2462,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12704_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18947,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2462]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18948,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18947]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2460,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12705_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18943,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2460]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18944,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | class_HOL_Ozero(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18943]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2458,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12706_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18939,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2458]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2456,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12707_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18935,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2456]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2454,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12708_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18931,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2454]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2452,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12709_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18927,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2452]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2450,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12710_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18923,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2450]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2448,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12711_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18919,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2448]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2446,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12712_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18915,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2446]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18916,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18915]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2444,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12713_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18911,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2444]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18912,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18911]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2442,plain,
% 169.84/170.12 ( class_HOL_Oone(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12714_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18907,plain,
% 169.84/170.12 ( class_HOL_Oone(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2442]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2440,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12715_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18903,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2440]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2438,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12716_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18899,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2438]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2436,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12717_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18895,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2436]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18896,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18895]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2434,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12718_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18891,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2434]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18892,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18891]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2432,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12719_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18887,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2432]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2430,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12720_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18883,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2430]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18884,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18883]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2428,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12721_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18879,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2428]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18880,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18879]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2426,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12722_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18875,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2426]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2424,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12723_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18871,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2424]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2422,plain,
% 169.84/170.12 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12724_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18867,plain,
% 169.84/170.12 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2422]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2420,plain,
% 169.84/170.12 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12725_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18863,plain,
% 169.84/170.12 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2420]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2418,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12726_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18859,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2418]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2416,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12727_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18855,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2416]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18856,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18855]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2414,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12728_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18851,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2414]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2412,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12729_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18847,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2412]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2410,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12730_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18843,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2410]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18844,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | class_HOL_Ozero(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18843]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2408,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12731_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18839,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2408]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18840,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | class_HOL_Oplus(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18839]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2406,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12732_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18835,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2406]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18836,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18835]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2404,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12733_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18831,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2404]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18832,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18831]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2402,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12734_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18827,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2402]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2400,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12735_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18823,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2400]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18824,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18823]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2398,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12736_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18819,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2398]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18820,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18819]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2396,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12737_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18815,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2396]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2394,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12738_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18811,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2394]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2392,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12739_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18807,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2392]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2390,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12740_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18803,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2390]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18804,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18803]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2388,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12741_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18799,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2388]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2386,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12742_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18795,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2386]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18796,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18795]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2384,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12743_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18791,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2384]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18792,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18791]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2382,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12744_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18787,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2382]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18788,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18787]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2380,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12745_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18783,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2380]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18784,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18783]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2378,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12746_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18779,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2378]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18780,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18779]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2376,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12747_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18775,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2376]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2374,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12748_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18771,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2374]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18772,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18771]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2372,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12749_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18767,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2372]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18768,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18767]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2370,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12750_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18763,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2370]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18764,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18763]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2368,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12751_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18759,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2368]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18760,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18759]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2366,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12752_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18755,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2366]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18756,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18755]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2364,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12753_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18751,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2364]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18752,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18751]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2362,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12754_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18747,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2362]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18748,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring__1(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18747]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2360,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12755_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18743,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2360]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2358,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12756_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18739,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2358]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2356,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12757_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18735,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2356]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2354,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12758_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18731,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2354]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2352,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12759_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18727,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2352]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2350,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12760_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18723,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2350]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2348,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12761_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18719,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2348]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2346,plain,
% 169.84/170.12 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12762_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18715,plain,
% 169.84/170.12 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2346]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2344,plain,
% 169.84/170.12 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12763_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18711,plain,
% 169.84/170.12 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2344]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2342,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12764_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18707,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2342]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2340,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12765_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18703,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2340]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2338,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12766_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18699,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2338]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18700,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18699]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2336,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12767_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18695,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2336]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2334,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12768_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18691,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2334]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18692,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring__1(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18691]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2332,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12769_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18687,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2332]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18688,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring__1(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18687]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2330,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12770_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18683,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2330]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2328,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12771_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18679,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2328]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2326,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12772_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18675,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2326]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2324,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12773_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18671,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2324]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18672,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18671]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2322,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12774_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18667,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2322]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2320,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12775_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18663,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2320]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2318,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12776_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18659,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2318]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2316,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12777_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18655,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2316]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18656,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18655]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2314,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12778_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18651,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2314]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18652,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18651]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2312,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12779_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18647,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2312]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18648,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18647]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2310,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12780_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18643,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2310]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18644,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18643]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2308,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12781_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18639,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2308]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2306,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12782_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18635,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2306]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2304,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12783_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18631,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2304]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2302,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12784_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18627,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2302]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2300,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12785_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18623,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2300]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18624,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18623]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2298,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12786_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18619,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2298]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2296,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12787_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18615,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2296]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2294,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12788_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18611,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2294]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2292,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12789_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18607,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2292]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2290,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12790_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18603,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2290]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18604,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18603]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2288,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12791_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18599,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2288]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18600,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18599]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2286,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12792_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18595,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2286]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2284,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12793_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18591,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2284]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2282,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12794_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18587,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2282]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18588,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18587]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2280,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12795_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18583,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2280]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18584,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | class_Orderings_Oord(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18583]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2278,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12796_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18579,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2278]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2276,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12797_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18575,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2276]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2274,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12798_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18571,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2274]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2272,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12799_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18567,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2272]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2270,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12800_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18563,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2270]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18564,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18563]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2268,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12801_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18559,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2268]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2266,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12802_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18555,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2266]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2264,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12803_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18551,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2264]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2262,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12804_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18547,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2262]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2260,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12805_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18543,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2260]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2258,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12806_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18539,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2258]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2256,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12807_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18535,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2256]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2254,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12808_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18531,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2254]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2252,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12809_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18527,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2252]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2250,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12810_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18523,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2250]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2248,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12811_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18519,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2248]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18520,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.12 | class_Orderings_Oord(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18519]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2246,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12812_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18515,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2246]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2244,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12813_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18511,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2244]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2242,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12814_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18507,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2242]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2240,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12815_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18503,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2240]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2238,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12816_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18499,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2238]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2236,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12817_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18495,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2236]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18496,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18495]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2234,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12818_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18491,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2234]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18492,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18491]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2232,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12819_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18487,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2232]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2230,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12820_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18483,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2230]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2228,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12821_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18479,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2228]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2226,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12822_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18475,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2226]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18476,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18475]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2224,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12823_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18471,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2224]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18472,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18471]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2222,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12824_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18467,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2222]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2220,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12825_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18463,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2220]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2218,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12826_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18459,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2218]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18460,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18459]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2216,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12827_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18455,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2216]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2214,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12828_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18451,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2214]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2212,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12829_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18447,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2212]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18448,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18447]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2210,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12830_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18443,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2210]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2208,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12831_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18439,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2208]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18440,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | class_Orderings_Oord(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18439]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2206,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12832_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18435,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2206]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2204,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12833_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18431,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2204]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2202,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12834_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18427,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2202]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2200,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12835_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18423,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2200]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2198,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12836_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18419,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2198]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2196,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12837_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18415,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2196]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2194,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12838_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18411,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2194]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2192,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12839_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18407,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2192]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2190,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12840_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18403,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2190]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2188,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12841_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18399,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2188]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2186,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12842_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18395,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2186]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2184,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12843_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18391,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2184]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2182,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12844_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18387,plain,
% 169.84/170.12 ( class_HOL_Ominus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2182]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2180,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12845_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18383,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2180]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2178,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12846_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18379,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2178]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2176,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12847_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18375,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2176]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2174,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12848_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18371,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2174]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2172,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12849_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18367,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2172]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2170,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12850_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18363,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2170]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2168,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12851_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18359,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2168]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2166,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12852_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18355,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2166]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2164,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12853_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18351,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2164]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2162,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12854_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18347,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2162]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2160,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12855_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18343,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2160]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2158,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12856_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18339,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2158]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2156,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12857_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18335,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2156]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2154,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12858_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18331,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2154]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2152,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12859_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18327,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2152]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2150,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12860_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18323,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2150]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2148,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12861_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18319,plain,
% 169.84/170.12 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2148]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2146,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12862_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18315,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2146]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2144,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12863_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18311,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2144]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18312,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18311]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2142,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12864_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18307,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2142]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18308,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18307]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2140,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12865_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18303,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2140]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2138,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12866_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18299,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2138]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2136,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12867_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18295,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2136]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2134,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12868_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18291,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2134]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2132,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12869_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18287,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2132]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18288,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18287]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2130,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12870_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18283,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2130]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2128,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12871_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18279,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2128]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2126,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12872_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18275,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2126]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2124,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12873_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18271,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2124]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2122,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12874_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18267,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2122]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18268,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | class_Orderings_Oord(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18267]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2120,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12875_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18263,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2120]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2118,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12876_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18259,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2118]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2116,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12877_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18255,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2116]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2114,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12878_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18251,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2114]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2112,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12879_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18247,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2112]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2110,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12880_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18243,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2110]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2108,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12881_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18239,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2108]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2106,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12882_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18235,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2106]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18236,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18235]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2104,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12883_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18231,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2104]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2102,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12884_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18227,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2102]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2100,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12885_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18223,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2100]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18224,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18223]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2098,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12886_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18219,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2098]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2096,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12887_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18215,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2096]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2094,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12888_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18211,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2094]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2092,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12889_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18207,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2092]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2090,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12890_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18203,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2090]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2088,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12891_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18199,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2088]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2086,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12892_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18195,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2086]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18196,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.12 | class_Orderings_Oord(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18195]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2084,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12893_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18191,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2084]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2082,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12894_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18187,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2082]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2080,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12895_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18183,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2080]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18184,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18183]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2078,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12896_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18179,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2078]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18180,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18179]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2076,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12897_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18175,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2076]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2074,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12898_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18171,plain,
% 169.84/170.12 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2074]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2072,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12899_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18167,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2072]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2070,plain,
% 169.84/170.12 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12900_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18163,plain,
% 169.84/170.12 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2070]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2068,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12901_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18159,plain,
% 169.84/170.12 ( class_HOL_Ozero(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2068]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2066,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12902_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18155,plain,
% 169.84/170.12 ( class_HOL_Oplus(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2066]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2064,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12903_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18151,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2064]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18152,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18151]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2062,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12904_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18147,plain,
% 169.84/170.12 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2062]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18148,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.12 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18147]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2060,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12905_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18143,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2060]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2058,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12906_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18139,plain,
% 169.84/170.12 ( class_HOL_Otimes(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2058]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2056,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12907_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18135,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2056]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2054,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12908_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18131,plain,
% 169.84/170.12 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2054]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2052,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12909_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18127,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2052]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2050,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12910_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18123,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2050]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2048,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12911_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18119,plain,
% 169.84/170.12 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2048]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18120,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.12 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18119]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2046,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12912_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18115,plain,
% 169.84/170.12 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2046]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2044,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12913_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18111,plain,
% 169.84/170.12 ( class_Orderings_Oord(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2044]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18112,plain,
% 169.84/170.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.12 | class_Orderings_Oord(X0) ),
% 169.84/170.12 inference(rewriting,[status(thm)],[c_18111]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2042,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12914_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18107,plain,
% 169.84/170.12 ( class_Orderings_Oorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2042]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2040,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12915_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18103,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2040]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2038,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12916_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18099,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2038]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2036,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12917_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18095,plain,
% 169.84/170.12 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2036]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2034,plain,
% 169.84/170.12 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12918_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18091,plain,
% 169.84/170.12 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2034]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2032,plain,
% 169.84/170.12 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12919_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18087,plain,
% 169.84/170.12 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2032]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2030,plain,
% 169.84/170.12 ( class_LOrder_Olorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12920_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18083,plain,
% 169.84/170.12 ( class_LOrder_Olorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2030]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2028,plain,
% 169.84/170.12 ( class_Orderings_Olinorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12921_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18079,plain,
% 169.84/170.12 ( class_Orderings_Olinorder(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2028]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2026,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12922_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18075,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 inference(copy,[status(esa)],[c_2026]) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_2024,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12923_1) ).
% 169.84/170.12
% 169.84/170.12 cnf(c_18071,plain,
% 169.84/170.12 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2024]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2022,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12924_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18067,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2022]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2020,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12925_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18063,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2020]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2018,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12926_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18059,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2018]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2016,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12927_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18055,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2016]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2014,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12928_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18051,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2014]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2012,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12929_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18047,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2012]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2010,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12930_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18043,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2010]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2008,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12931_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18039,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2008]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2006,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12932_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18035,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2006]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2004,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12933_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18031,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2004]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2002,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12934_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18027,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2002]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_2000,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12935_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18023,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_2000]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1998,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12936_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18019,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1998]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1996,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12937_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18015,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1996]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1994,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12938_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18011,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1994]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1992,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12939_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18007,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1992]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1990,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12940_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_18003,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1990]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1988,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12941_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17999,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1988]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1986,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12942_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17995,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1986]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1984,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12943_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17991,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1984]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1982,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12944_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17987,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1982]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1980,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12945_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17983,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1980]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1978,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12946_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17979,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1978]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1976,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12947_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17975,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1976]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1974,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12948_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17971,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1974]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17972,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17971]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1972,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12949_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17967,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1972]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1970,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12950_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17963,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1970]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17964,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17963]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1968,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12951_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17959,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1968]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1966,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12952_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17955,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1966]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1964,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12953_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17951,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1964]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1962,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12954_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17947,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1962]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1960,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12955_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17943,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1960]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1958,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12956_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17939,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1958]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17940,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17939]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1956,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12957_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17935,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1956]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1954,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12958_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17931,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1954]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1952,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12959_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17927,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1952]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1950,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12960_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17923,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1950]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17924,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17923]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1948,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12961_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17919,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1948]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1946,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12962_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17915,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1946]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1944,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12963_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17911,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1944]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1942,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12964_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17907,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1942]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1940,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12965_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17903,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1940]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17904,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17903]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1938,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12966_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17899,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1938]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1936,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12967_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17895,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1936]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1934,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12968_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17891,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1934]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1932,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12969_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17887,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1932]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1930,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12970_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17883,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1930]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1928,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12971_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17879,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1928]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1926,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12972_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17875,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1926]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1924,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12973_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17871,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1924]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1922,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12974_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17867,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1922]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1920,plain,
% 169.84/170.13 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12975_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17863,plain,
% 169.84/170.13 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1920]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1918,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12976_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17859,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1918]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1916,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12977_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17855,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1916]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1914,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12978_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17851,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1914]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1912,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12979_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17847,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1912]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1910,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12980_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17843,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1910]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1908,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12981_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17839,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1908]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1906,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12982_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17835,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1906]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1904,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12983_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17831,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1904]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1902,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12984_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17827,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1902]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1900,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12985_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17823,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1900]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1898,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12986_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17819,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1898]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1896,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12987_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17815,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1896]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1894,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12988_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17811,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1894]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1892,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12989_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17807,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1892]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1890,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12990_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17803,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1890]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1888,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12991_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17799,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1888]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1886,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12992_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17795,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1886]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1884,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12993_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17791,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1884]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1882,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12994_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17787,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1882]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1880,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12995_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17783,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1880]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1878,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12996_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17779,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1878]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17780,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17779]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1876,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12997_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17775,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1876]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17776,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17775]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1874,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12998_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17771,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1874]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1872,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12999_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17767,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1872]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1870,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13000_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17763,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1870]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1868,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13001_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17759,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1868]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1866,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13002_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17755,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1866]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1864,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13003_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17751,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1864]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1862,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13004_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17747,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1862]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1860,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13005_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17743,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1860]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1858,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13006_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17739,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1858]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1856,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13007_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17735,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1856]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1854,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13008_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17731,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1854]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1852,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13009_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17727,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1852]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1850,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13010_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17723,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1850]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1848,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13011_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17719,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1848]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1846,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13012_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17715,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1846]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1844,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13013_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17711,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1844]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1842,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13014_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17707,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1842]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1840,plain,
% 169.84/170.13 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13015_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17703,plain,
% 169.84/170.13 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1840]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1838,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13016_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17699,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1838]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1836,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13017_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17695,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1836]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1834,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13018_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17691,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1834]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1832,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13019_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17687,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1832]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1830,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13020_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17683,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1830]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1828,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13021_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17679,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1828]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1826,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13022_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17675,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1826]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1824,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13023_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17671,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1824]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1822,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13024_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17667,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1822]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1820,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13025_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17663,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1820]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1818,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13026_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17659,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1818]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1816,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13027_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17655,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1816]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1814,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13028_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17651,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1814]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1812,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13029_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17647,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1812]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1810,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13030_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17643,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1810]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1808,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13031_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17639,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1808]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1806,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13032_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17635,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1806]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1804,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13033_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17631,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1804]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1802,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13034_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17627,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1802]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1800,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13035_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17623,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1800]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1798,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13036_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17619,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1798]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1796,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13037_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17615,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1796]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17616,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17615]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1794,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13038_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17611,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1794]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1792,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13039_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17607,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1792]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17608,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17607]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1790,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13040_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17603,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1790]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1788,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13041_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17599,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1788]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1786,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13042_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17595,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1786]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1784,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13043_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17591,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1784]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1782,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13044_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17587,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1782]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17588,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17587]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1780,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13045_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17583,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1780]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1778,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13046_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17579,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1778]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1776,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13047_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17575,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1776]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1774,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13048_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17571,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1774]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1772,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13049_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17567,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1772]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17568,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17567]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1770,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13050_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17563,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1770]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1768,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13051_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17559,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1768]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1766,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13052_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17555,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1766]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1764,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13053_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17551,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1764]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1762,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13054_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17547,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1762]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1760,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13055_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17543,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1760]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1758,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13056_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17539,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1758]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1756,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13057_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17535,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1756]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1754,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13058_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17531,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1754]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1752,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13059_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17527,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1752]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1750,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13060_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17523,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1750]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1748,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13061_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17519,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1748]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1746,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13062_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17515,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1746]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1744,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13063_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17511,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1744]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1742,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13064_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17507,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1742]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1740,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13065_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17503,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1740]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1738,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13066_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17499,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1738]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1736,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13067_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17495,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1736]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1734,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13068_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17491,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1734]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1732,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13069_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17487,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1732]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1730,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13070_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17483,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1730]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1728,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13071_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17479,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1728]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1726,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13072_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17475,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1726]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1724,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13073_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17471,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1724]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1722,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13074_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17467,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1722]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1720,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13075_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17463,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1720]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1718,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13076_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17459,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1718]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1716,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13077_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17455,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1716]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1714,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13078_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17451,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1714]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1712,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13079_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17447,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1712]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1710,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13080_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17443,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1710]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1708,plain,
% 169.84/170.13 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13081_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17439,plain,
% 169.84/170.13 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1708]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1706,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13082_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17435,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1706]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1704,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13083_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17431,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1704]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1702,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13084_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17427,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1702]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1700,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13085_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17423,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1700]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1698,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13086_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17419,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1698]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1696,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13087_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17415,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1696]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1694,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13088_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17411,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1694]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1692,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13089_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17407,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1692]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1690,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13090_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17403,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1690]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1688,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13091_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17399,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__idom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1688]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1686,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13092_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17395,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1686]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1684,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13093_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17391,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1684]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1682,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13094_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17387,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1682]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1680,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13095_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17383,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1680]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1678,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13096_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17379,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1678]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1676,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13097_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17375,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1676]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1674,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13098_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17371,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1674]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1672,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13099_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17367,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1672]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1670,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13100_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17363,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1670]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1668,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13101_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17359,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1668]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1666,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13102_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17355,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1666]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1664,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13103_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17351,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1664]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1662,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13104_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17347,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1662]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1660,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13105_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17343,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1660]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1658,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13106_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17339,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1658]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1656,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13107_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17335,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1656]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1654,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13108_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17331,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1654]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1652,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13109_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17327,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1652]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1650,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13110_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17323,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1650]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1648,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13111_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17319,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1648]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1646,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13112_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17315,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1646]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1644,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13113_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17311,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1644]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1642,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13114_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17307,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1642]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1640,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13115_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17303,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1640]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1638,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13116_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17299,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1638]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1636,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13117_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17295,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1636]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1634,plain,
% 169.84/170.13 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13118_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17291,plain,
% 169.84/170.13 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1634]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1632,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ofield(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13119_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17287,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ofield(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1632]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1630,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13120_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17283,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1630]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17284,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17283]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1628,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13121_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17279,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1628]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17280,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17279]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1626,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13122_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17275,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1626]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1624,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13123_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17271,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1624]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1622,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13124_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17267,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1622]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17268,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17267]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1620,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13125_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17263,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1620]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1618,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13126_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17259,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1618]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1616,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13127_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17255,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1616]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1614,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13128_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17251,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1614]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1612,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13129_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17247,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1612]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1610,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13130_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17243,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1610]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1608,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13131_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17239,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1608]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1606,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13132_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17235,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1606]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1604,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13133_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17231,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1604]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1602,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13134_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17227,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1602]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1600,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13135_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17223,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1600]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17224,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | class_Orderings_Oord(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17223]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1598,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13136_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17219,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1598]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1596,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13137_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17215,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1596]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17216,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17215]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1594,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13138_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17211,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1594]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1592,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13139_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17207,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1592]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1590,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13140_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17203,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1590]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1588,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13141_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17199,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1588]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1586,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13142_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17195,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1586]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1584,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13143_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17191,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1584]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1582,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13144_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17187,plain,
% 169.84/170.13 ( class_Orderings_Olinorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1582]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1580,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13145_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17183,plain,
% 169.84/170.13 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1580]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1578,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13146_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17179,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1578]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1576,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13147_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17175,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1576]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1574,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13148_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17171,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1574]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1572,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13149_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17167,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1572]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1570,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13150_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17163,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1570]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1568,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13151_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17159,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1568]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1566,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13152_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17155,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1566]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1564,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13153_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17151,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1564]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1562,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13154_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17147,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1562]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1560,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13155_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17143,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1560]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1558,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13156_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17139,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1558]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1556,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13157_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17135,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1556]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1554,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13158_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17131,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1554]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1552,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13159_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17127,plain,
% 169.84/170.13 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1552]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1550,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13160_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17123,plain,
% 169.84/170.13 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1550]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1548,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13161_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17119,plain,
% 169.84/170.13 ( class_LOrder_Olorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1548]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1546,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13162_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17115,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1546]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1544,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13163_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17111,plain,
% 169.84/170.13 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1544]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1542,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13164_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17107,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1542]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1540,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13165_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17103,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1540]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17104,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17103]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1538,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13166_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17099,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1538]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1536,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13167_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17095,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1536]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17096,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17095]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1534,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13168_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17091,plain,
% 169.84/170.13 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1534]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1532,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13169_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17087,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1532]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1530,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13170_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17083,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1530]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1528,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13171_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17079,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1528]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1526,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13172_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17075,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1526]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1524,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13173_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17071,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1524]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17072,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17071]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1522,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13174_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17067,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1522]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1520,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13175_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17063,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1520]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1518,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13176_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17059,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1518]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1516,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13177_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17055,plain,
% 169.84/170.13 ( class_Orderings_Oord(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1516]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1514,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13178_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17051,plain,
% 169.84/170.13 ( class_Orderings_Oorder(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1514]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1512,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13179_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17047,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1512]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1510,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13180_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17043,plain,
% 169.84/170.13 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1510]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1508,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13181_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17039,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1508]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1506,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13182_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17035,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1506]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1504,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13183_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17031,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1504]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1502,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13184_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17027,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1502]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1500,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13185_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17023,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1500]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1498,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13186_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17019,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1498]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1496,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13187_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17015,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1496]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1494,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13188_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17011,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1494]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1492,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13189_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17007,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1492]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1490,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13190_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17003,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1490]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_17004,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_17003]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1488,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13191_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16999,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1488]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1486,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13192_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16995,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1486]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16996,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16995]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1484,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13193_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16991,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1484]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1482,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13194_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16987,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1482]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1480,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13195_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16983,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1480]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1478,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13196_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16979,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1478]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1476,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13197_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16975,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1476]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16976,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16975]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1474,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13198_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16971,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1474]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1472,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13199_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16967,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1472]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1470,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13200_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16963,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1470]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1468,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13201_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16959,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1468]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1466,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13202_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16955,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1466]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16956,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16955]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1464,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13203_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16951,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1464]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1462,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13204_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16947,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1462]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1460,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13205_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16943,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1460]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1458,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13206_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16939,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1458]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1456,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13207_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16935,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1456]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1454,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13208_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16931,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1454]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1452,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13209_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16927,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1452]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1450,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13210_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16923,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1450]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1448,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13211_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16919,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1448]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1446,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13212_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16915,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1446]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1444,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13213_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16911,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1444]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1442,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13214_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16907,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1442]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1440,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13215_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16903,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1440]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1438,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13216_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16899,plain,
% 169.84/170.13 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1438]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1436,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13217_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16895,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1436]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1434,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13218_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16891,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1434]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1432,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13219_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16887,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oidom(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1432]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1430,plain,
% 169.84/170.13 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13220_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16883,plain,
% 169.84/170.13 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1430]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1428,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13221_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16879,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1428]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1426,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13222_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16875,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1426]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1424,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13223_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16871,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1424]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1422,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13224_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16867,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1422]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1420,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13225_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16863,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1420]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1418,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13226_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16859,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1418]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1416,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13227_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16855,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1416]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1414,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13228_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16851,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1414]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1412,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13229_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16847,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1412]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1410,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13230_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16843,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1410]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1408,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13231_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16839,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1408]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1406,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13232_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16835,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1406]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1404,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13233_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16831,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1404]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1402,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13234_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16827,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1402]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1400,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13235_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16823,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1400]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1398,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13236_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16819,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1398]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1396,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13237_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16815,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1396]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1394,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13238_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16811,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1394]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1392,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13239_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16807,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1392]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1390,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13240_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16803,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1390]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1388,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13241_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16799,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1388]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1386,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13242_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16795,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1386]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1384,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13243_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16791,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1384]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1382,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13244_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16787,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1382]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1380,plain,
% 169.84/170.13 ( class_HOL_Oinverse(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13245_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16783,plain,
% 169.84/170.13 ( class_HOL_Oinverse(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1380]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16784,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.84/170.13 | class_HOL_Oinverse(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16783]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1378,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13246_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16779,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1378]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1376,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13247_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16775,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1376]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1374,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13248_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16771,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1374]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1372,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13249_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16767,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1372]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1370,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13250_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16763,plain,
% 169.84/170.13 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1370]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1368,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13251_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16759,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1368]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1366,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13252_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16755,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1366]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16756,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16755]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1364,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13253_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16751,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1364]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1362,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13254_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16747,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1362]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1360,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13255_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16743,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1360]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1358,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13256_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16739,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1358]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1356,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13257_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16735,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1356]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1354,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13258_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16731,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1354]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1352,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13259_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16727,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1352]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1350,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13260_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16723,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1350]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16724,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | class_HOL_Otimes(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16723]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1348,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13261_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16719,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1348]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16720,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16719]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1346,plain,
% 169.84/170.13 ( class_HOL_Oone(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13262_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16715,plain,
% 169.84/170.13 ( class_HOL_Oone(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1346]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1344,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13263_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16711,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1344]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1342,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13264_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16707,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1342]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1340,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13265_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16703,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1340]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16704,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16703]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1338,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13266_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16699,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1338]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16700,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16699]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1336,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13267_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16695,plain,
% 169.84/170.13 ( class_HOL_Ozero(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1336]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16696,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.13 | class_HOL_Ozero(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16695]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1334,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13268_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16691,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1334]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1332,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13269_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16687,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1332]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1330,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13270_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16683,plain,
% 169.84/170.13 ( class_HOL_Otimes(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1330]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16684,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | class_HOL_Otimes(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16683]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1328,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13271_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16679,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1328]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16680,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16679]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1326,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13272_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16675,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1326]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1324,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13273_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16671,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1324]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1322,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13274_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16667,plain,
% 169.84/170.13 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1322]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16668,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.13 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.13 inference(rewriting,[status(thm)],[c_16667]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1320,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13275_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16663,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1320]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1318,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13276_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16659,plain,
% 169.84/170.13 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1318]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1316,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13277_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16655,plain,
% 169.84/170.13 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1316]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1314,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13278_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16651,plain,
% 169.84/170.13 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1314]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1312,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13279_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16647,plain,
% 169.84/170.13 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1312]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1310,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13280_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16643,plain,
% 169.84/170.13 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1310]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1308,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13281_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16639,plain,
% 169.84/170.13 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1308]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_1306,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13282_1) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16635,plain,
% 169.84/170.13 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.13 inference(copy,[status(esa)],[c_1306]) ).
% 169.84/170.13
% 169.84/170.13 cnf(c_16636,plain,
% 169.84/170.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16635]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1304,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13283_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16631,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1304]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16632,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16631]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1302,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13284_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16627,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1302]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1300,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13285_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16623,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1300]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16624,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16623]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1298,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13286_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16619,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1298]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1296,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13287_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16615,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1296]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16616,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16615]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1294,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13288_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16611,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1294]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16612,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16611]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1292,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13289_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16607,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1292]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1290,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13290_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16603,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1290]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16604,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | class_HOL_Otimes(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16603]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1288,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13291_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16599,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1288]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16600,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16599]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1286,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13292_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16595,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1286]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1284,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13293_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16591,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1284]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1282,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13294_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16587,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1282]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16588,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16587]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1280,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13295_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16583,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1280]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1278,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13296_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16579,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1278]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1276,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13297_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16575,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1276]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1274,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13298_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16571,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1274]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16572,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16571]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1272,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13299_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16567,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1272]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1270,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13300_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16563,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1270]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1268,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13301_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16559,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1268]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1266,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13302_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16555,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1266]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16556,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16555]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1264,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13303_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16551,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1264]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1262,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13304_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16547,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1262]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16548,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | class_HOL_Otimes(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16547]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1260,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13305_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16543,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1260]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16544,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16543]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1258,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13306_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16539,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1258]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16540,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16539]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1256,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13307_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16535,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1256]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16536,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16535]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1254,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13308_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16531,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1254]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16532,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16531]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1252,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13309_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16527,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1252]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1250,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13310_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16523,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1250]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1248,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13311_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16519,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1248]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16520,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16519]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1246,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13312_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16515,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1246]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1244,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13313_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16511,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1244]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1242,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13314_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16507,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1242]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16508,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16507]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1240,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13315_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16503,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1240]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16504,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16503]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1238,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13316_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16499,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1238]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16500,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16499]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1236,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13317_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16495,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1236]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16496,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16495]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1234,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13318_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16491,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1234]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16492,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16491]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1232,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13319_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16487,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1232]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16488,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16487]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1230,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13320_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16483,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1230]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1228,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13321_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16479,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1228]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1226,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13322_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16475,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1226]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16476,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16475]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1224,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13323_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16471,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1224]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1222,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13324_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16467,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1222]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1220,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13325_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16463,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1220]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1218,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13326_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16459,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1218]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1216,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13327_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16455,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1216]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1214,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13328_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16451,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1214]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1212,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13329_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16447,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1212]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1210,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13330_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16443,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1210]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1208,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13331_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16439,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1208]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1206,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13332_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16435,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1206]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1204,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13333_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16431,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1204]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1202,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13334_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16427,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1202]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1200,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13335_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16423,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1200]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1198,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13336_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16419,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1198]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1196,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13337_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16415,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1196]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1194,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13338_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16411,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1194]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16412,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16411]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1192,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13339_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16407,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1192]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1190,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13340_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16403,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1190]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16404,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16403]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1188,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13341_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16399,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1188]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1186,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13342_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16395,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1186]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16396,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16395]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1184,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13343_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16391,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1184]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1182,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13344_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16387,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1182]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1180,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13345_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16383,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1180]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16384,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16383]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1178,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13346_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16379,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1178]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1176,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13347_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16375,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1176]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1174,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13348_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16371,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1174]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1172,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13349_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16367,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1172]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16368,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16367]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1170,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13350_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16363,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1170]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16364,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16363]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1168,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13351_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16359,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1168]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1166,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13352_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16355,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1166]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16356,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16355]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1164,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13353_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16351,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1164]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16352,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16351]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1162,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13354_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16347,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1162]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1160,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13355_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16343,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1160]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1158,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13356_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16339,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1158]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16340,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16339]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1156,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13357_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16335,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1156]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1154,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13358_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16331,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1154]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1152,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13359_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16327,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1152]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1150,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13360_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16323,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1150]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1148,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13361_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16319,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1148]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1146,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13362_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16315,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1146]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1144,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13363_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16311,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1144]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1142,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13364_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16307,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1142]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16308,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16307]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1140,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13365_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16303,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1140]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1138,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13366_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16299,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1138]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1136,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13367_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16295,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1136]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1134,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13368_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16291,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1134]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1132,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13369_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16287,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1132]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1130,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13370_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16283,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1130]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1128,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13371_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16279,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1128]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16280,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16279]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1126,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13372_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16275,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1126]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1124,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13373_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16271,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1124]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1122,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13374_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16267,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1122]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16268,plain,
% 169.84/170.14 ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16267]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1120,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13375_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16263,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1120]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16264,plain,
% 169.84/170.14 ( ~ class_Power_Orecpower(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16263]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1118,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13376_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16259,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1118]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16260,plain,
% 169.84/170.14 ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16259]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1116,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13377_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16255,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1116]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1114,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13378_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16251,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1114]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16252,plain,
% 169.84/170.14 ( ~ class_Power_Orecpower(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16251]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1112,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13379_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16247,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1112]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1110,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13380_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16243,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1110]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1108,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13381_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16239,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1108]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1106,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13382_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16235,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1106]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1104,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13383_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16231,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1104]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1102,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13384_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16227,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1102]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1100,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13385_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16223,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1100]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1098,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13386_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16219,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1098]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1096,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13387_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16215,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1096]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1094,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13388_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16211,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1094]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1092,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13389_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16207,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1092]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1090,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13390_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16203,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1090]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1088,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13391_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16199,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1088]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1086,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13392_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16195,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1086]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1084,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13393_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16191,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1084]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1082,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13394_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16187,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1082]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1080,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13395_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16183,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1080]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1078,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13396_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16179,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1078]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1076,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13397_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16175,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1076]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1074,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13398_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16171,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1074]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1072,plain,
% 169.84/170.14 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13399_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16167,plain,
% 169.84/170.14 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1072]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1070,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13400_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16163,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1070]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16164,plain,
% 169.84/170.14 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16163]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1068,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13401_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16159,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1068]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1066,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13402_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16155,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1066]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16156,plain,
% 169.84/170.14 ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16155]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1064,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13403_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16151,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1064]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1062,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13404_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16147,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1062]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1060,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13405_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16143,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1060]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1058,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13406_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16139,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1058]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1056,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13407_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16135,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1056]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1054,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13408_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16131,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1054]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1052,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13409_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16127,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1052]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1050,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13410_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16123,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1050]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1048,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13411_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16119,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1048]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16120,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16119]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1046,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13412_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16115,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1046]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16116,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16115]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1044,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13413_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16111,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1044]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16112,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16111]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1042,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13414_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16107,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1042]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1040,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13415_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16103,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1040]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1038,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13416_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16099,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1038]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1036,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13417_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16095,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1036]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16096,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16095]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1034,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13418_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16091,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1034]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1032,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13419_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16087,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1032]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16088,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16087]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1030,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13420_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16083,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1030]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1028,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13421_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16079,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1028]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16080,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16079]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1026,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13422_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16075,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1026]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1024,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13423_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16071,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1024]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1022,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13424_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16067,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1022]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1020,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13425_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16063,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1020]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1018,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13426_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16059,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1018]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16060,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16059]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1016,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13427_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16055,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1016]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16056,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16055]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1014,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13428_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16051,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1014]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16052,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16051]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1012,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13429_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16047,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1012]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1010,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13430_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16043,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1010]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1008,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13431_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16039,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1008]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1006,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13432_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16035,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1006]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16036,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16035]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1004,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13433_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16031,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1004]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1002,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13434_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16027,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1002]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16028,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16027]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_1000,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13435_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16023,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_1000]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_998,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13436_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16019,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_998]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_996,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13437_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16015,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_996]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_994,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13438_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16011,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_994]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_992,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13439_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16007,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_992]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_990,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13440_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16003,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_990]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_16004,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_16003]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_988,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13441_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15999,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_988]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_986,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13442_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15995,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_986]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_984,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13443_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15991,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_984]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_982,plain,
% 169.84/170.14 ( class_Orderings_Olinorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13444_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15987,plain,
% 169.84/170.14 ( class_Orderings_Olinorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_982]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_980,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13445_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15983,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_980]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_978,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13446_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15979,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_978]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15980,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15979]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_976,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13447_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15975,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_976]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_974,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13448_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15971,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_974]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15972,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15971]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_972,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13449_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15967,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_972]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_970,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13450_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15963,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_970]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15964,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15963]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_968,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13451_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15959,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_968]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_966,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13452_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15955,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_966]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_964,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13453_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15951,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_964]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_962,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13454_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15947,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_962]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_960,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13455_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15943,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_960]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_958,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13456_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15939,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_958]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_956,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13457_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15935,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_956]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_954,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13458_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15931,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_954]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15932,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15931]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_952,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13459_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15927,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_952]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15928,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15927]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_950,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13460_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15923,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_950]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_948,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13461_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15919,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_948]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_946,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13462_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15915,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_946]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_944,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13463_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15911,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_944]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_942,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13464_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15907,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_942]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_940,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13465_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15903,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_940]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_938,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13466_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15899,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_938]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_936,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13467_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15895,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_936]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_934,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13468_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15891,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_934]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_932,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13469_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15887,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_932]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_930,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13470_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15883,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_930]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_928,plain,
% 169.84/170.14 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13471_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15879,plain,
% 169.84/170.14 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_928]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_926,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13472_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15875,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_926]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_924,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13473_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15871,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_924]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_922,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13474_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15867,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_922]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15868,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15867]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_920,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13475_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15863,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_920]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_918,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13476_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15859,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_918]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15860,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15859]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_916,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13477_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15855,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_916]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_914,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13478_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15851,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_914]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_912,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13479_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15847,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_912]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_910,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13480_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15843,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_910]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_908,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13481_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15839,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_908]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_906,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13482_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15835,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_906]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_904,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13483_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15831,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_904]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_902,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13484_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15827,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_902]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_900,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13485_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15823,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_900]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_898,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13486_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15819,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_898]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_896,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13487_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15815,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_896]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_894,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13488_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15811,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_894]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_892,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13489_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15807,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_892]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_890,plain,
% 169.84/170.14 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13490_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15803,plain,
% 169.84/170.14 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_890]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_888,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13491_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15799,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_888]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_886,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13492_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15795,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_886]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_884,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13493_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15791,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_884]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15792,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15791]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_882,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13494_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15787,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_882]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_880,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13495_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15783,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_880]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15784,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15783]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_878,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13496_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15779,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_878]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_876,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13497_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15775,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_876]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_874,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13498_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15771,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_874]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_872,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13499_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15767,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_872]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_870,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13500_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15763,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_870]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_868,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13501_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15759,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_868]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_866,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13502_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15755,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_866]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_864,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13503_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15751,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_864]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_862,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13504_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15747,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_862]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_860,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13505_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15743,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_860]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_858,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13506_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15739,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_858]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_856,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13507_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15735,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_856]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_854,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13508_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15731,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_854]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_852,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13509_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15727,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_852]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_850,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13510_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15723,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_850]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_848,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13511_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15719,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_848]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_846,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13512_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15715,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_846]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_844,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13513_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15711,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_844]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15712,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15711]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_842,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13514_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15707,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_842]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_840,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13515_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15703,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_840]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15704,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15703]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_838,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13516_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15699,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_838]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_836,plain,
% 169.84/170.14 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13517_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15695,plain,
% 169.84/170.14 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_836]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_834,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13518_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15691,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_834]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15692,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15691]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_832,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13519_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15687,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_832]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_830,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13520_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15683,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_830]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_828,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13521_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15679,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_828]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_826,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13522_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15675,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_826]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_824,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13523_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15671,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_824]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_822,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13524_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15667,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_822]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_820,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13525_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15663,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_820]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_818,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13526_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15659,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_818]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_816,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13527_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15655,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_816]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_814,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13528_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15651,plain,
% 169.84/170.14 ( class_LOrder_Olorder(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_814]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_812,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13529_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15647,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_812]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_810,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13530_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15643,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_810]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15644,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15643]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_808,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13531_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15639,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_808]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_806,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13532_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15635,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_806]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15636,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15635]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_804,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13533_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15631,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_804]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_802,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13534_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15627,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_802]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_800,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13535_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15623,plain,
% 169.84/170.14 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_800]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_798,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13536_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15619,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_798]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_796,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13537_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15615,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_796]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15616,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15615]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_794,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13538_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15611,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_794]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15612,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15611]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_792,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13539_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15607,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_792]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15608,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15607]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_790,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13540_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15603,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_790]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_788,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13541_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15599,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_788]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15600,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15599]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_786,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13542_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15595,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_786]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15596,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15595]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_784,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13543_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15591,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_784]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15592,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15591]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_782,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13544_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15587,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_782]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15588,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15587]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_780,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13545_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15583,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_780]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15584,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | class_HOL_Oplus(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15583]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_778,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13546_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15579,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_778]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15580,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15579]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_776,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13547_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15575,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_776]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_774,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13548_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15571,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_774]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15572,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_HOL_Oplus(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15571]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_772,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13549_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15567,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_772]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15568,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15567]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_770,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13550_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15563,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_770]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15564,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15563]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_768,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13551_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15559,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_768]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_766,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13552_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15555,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_766]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_764,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13553_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15551,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_764]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_762,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13554_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15547,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_762]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_760,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13555_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15543,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_760]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_758,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13556_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15539,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_758]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_756,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13557_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15535,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_756]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15536,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15535]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_754,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13558_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15531,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_754]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15532,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15531]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_752,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13559_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15527,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_752]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15528,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15527]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_750,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13560_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15523,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_750]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15524,plain,
% 169.84/170.14 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15523]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_748,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13561_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15519,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_748]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_746,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13562_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15515,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_746]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_744,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13563_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15511,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_744]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_742,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13564_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15507,plain,
% 169.84/170.14 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_742]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_740,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13565_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15503,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_740]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_738,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13566_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15499,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_738]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_736,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13567_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15495,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_736]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15496,plain,
% 169.84/170.14 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15495]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_734,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13568_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15491,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_734]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15492,plain,
% 169.84/170.14 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15491]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_732,plain,
% 169.84/170.14 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13569_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15487,plain,
% 169.84/170.14 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_732]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_730,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13570_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15483,plain,
% 169.84/170.14 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_730]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_728,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13571_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15479,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_728]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_726,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13572_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15475,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_726]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_724,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13573_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15471,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_724]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_722,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13574_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15467,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_722]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_720,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13575_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15463,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_720]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_718,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13576_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15459,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_718]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_716,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13577_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15455,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_716]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_714,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13578_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15451,plain,
% 169.84/170.14 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_714]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_712,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13579_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15447,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_712]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_710,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13580_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15443,plain,
% 169.84/170.14 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_710]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_708,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13581_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15439,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_708]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15440,plain,
% 169.84/170.14 ( ~ class_Numeral_Onumber__ring(X0)
% 169.84/170.14 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15439]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_706,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13582_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15435,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_706]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_704,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13583_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15431,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_704]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_702,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13584_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15427,plain,
% 169.84/170.14 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_702]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_700,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13585_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15423,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_700]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_698,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13586_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15419,plain,
% 169.84/170.14 ( class_OrderedGroup_Oab__group__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_698]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_696,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13587_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15415,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_696]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_694,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13588_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15411,plain,
% 169.84/170.14 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_694]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_692,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13589_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15407,plain,
% 169.84/170.14 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_692]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_690,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13590_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15403,plain,
% 169.84/170.14 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_690]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_688,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13591_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15399,plain,
% 169.84/170.14 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_688]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_686,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13592_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15395,plain,
% 169.84/170.14 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.84/170.14 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_686]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_684,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13593_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15391,plain,
% 169.84/170.14 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_684]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_682,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13594_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15387,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_682]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_680,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13595_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15383,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_680]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15384,plain,
% 169.84/170.14 ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15383]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_678,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13596_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15379,plain,
% 169.84/170.14 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_678]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_676,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13597_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15375,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_676]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_674,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13598_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15371,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_674]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15372,plain,
% 169.84/170.14 ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15371]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_672,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13599_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15367,plain,
% 169.84/170.14 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_672]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_670,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13600_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15363,plain,
% 169.84/170.14 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_670]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_668,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13601_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15359,plain,
% 169.84/170.14 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_668]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15360,plain,
% 169.84/170.14 ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15359]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_666,plain,
% 169.84/170.14 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13640_1) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15355,plain,
% 169.84/170.14 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 169.84/170.14 inference(copy,[status(esa)],[c_666]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15356,plain,
% 169.84/170.14 ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 169.84/170.14 inference(rewriting,[status(thm)],[c_15355]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_661,plain,
% 169.84/170.14 ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11171_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15345,plain,
% 169.84/170.14 ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_661]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_660,plain,
% 169.84/170.14 ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11172_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15343,plain,
% 169.84/170.14 ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_660]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_659,plain,
% 169.84/170.14 ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11173_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15341,plain,
% 169.84/170.14 ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_659]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_658,plain,
% 169.84/170.14 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11328_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15339,plain,
% 169.84/170.14 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_658]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_657,plain,
% 169.84/170.14 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11329_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15337,plain,
% 169.84/170.14 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_657]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_656,plain,
% 169.84/170.14 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11330_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15335,plain,
% 169.84/170.14 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_656]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_655,plain,
% 169.84/170.14 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11331_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15333,plain,
% 169.84/170.14 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_655]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_654,plain,
% 169.84/170.14 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11332_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15331,plain,
% 169.84/170.14 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_654]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_653,plain,
% 169.84/170.14 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11333_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15329,plain,
% 169.84/170.14 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_653]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_652,plain,
% 169.84/170.14 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11718_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15327,plain,
% 169.84/170.14 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_652]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_651,plain,
% 169.84/170.14 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11719_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15325,plain,
% 169.84/170.14 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_651]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_650,plain,
% 169.84/170.14 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11918_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15323,plain,
% 169.84/170.14 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_650]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_649,plain,
% 169.84/170.14 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11968_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15321,plain,
% 169.84/170.14 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_649]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_648,plain,
% 169.84/170.14 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11999_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15319,plain,
% 169.84/170.14 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_648]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_647,plain,
% 169.84/170.14 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12000_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15317,plain,
% 169.84/170.14 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_647]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_646,plain,
% 169.84/170.14 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12001_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15315,plain,
% 169.84/170.14 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_646]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_645,plain,
% 169.84/170.14 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12002_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15313,plain,
% 169.84/170.14 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_645]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_644,plain,
% 169.84/170.14 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12003_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15311,plain,
% 169.84/170.14 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_644]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_643,plain,
% 169.84/170.14 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12004_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15309,plain,
% 169.84/170.14 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_643]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_642,plain,
% 169.84/170.14 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12107_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15307,plain,
% 169.84/170.14 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_642]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_641,plain,
% 169.84/170.14 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12150_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15305,plain,
% 169.84/170.14 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_641]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_640,plain,
% 169.84/170.14 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12269_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15303,plain,
% 169.84/170.14 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_640]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_639,plain,
% 169.84/170.14 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12280_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15301,plain,
% 169.84/170.14 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_639]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_637,plain,
% 169.84/170.14 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12311_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15297,plain,
% 169.84/170.14 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 169.84/170.14 inference(copy,[status(esa)],[c_637]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_635,plain,
% 169.84/170.14 ( c_insert(X0,X1,X2) != c_emptyset ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12319_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15293,plain,
% 169.84/170.14 ( c_insert(X0,X1,X2) != c_emptyset ),
% 169.84/170.14 inference(copy,[status(esa)],[c_635]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_633,plain,
% 169.84/170.14 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12321_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15289,plain,
% 169.84/170.14 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 169.84/170.14 inference(copy,[status(esa)],[c_633]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_632,plain,
% 169.84/170.14 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12322_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15287,plain,
% 169.84/170.14 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_632]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_631,plain,
% 169.84/170.14 ( ~ c_in(X0,c_emptyset,X1) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12330_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15285,plain,
% 169.84/170.14 ( ~ c_in(X0,c_emptyset,X1) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_631]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_630,plain,
% 169.84/170.14 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12331_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15283,plain,
% 169.84/170.14 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_630]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_629,plain,
% 169.84/170.14 ( ~ c_less(X0,X0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12332_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15281,plain,
% 169.84/170.14 ( ~ c_less(X0,X0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_629]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_628,plain,
% 169.84/170.14 ( ~ c_less(X0,c_0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12347_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15279,plain,
% 169.84/170.14 ( ~ c_less(X0,c_0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_628]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_627,plain,
% 169.84/170.14 ( ~ c_less(c_0,c_0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12352_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15277,plain,
% 169.84/170.14 ( ~ c_less(c_0,c_0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_627]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_626,plain,
% 169.84/170.14 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12602_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15275,plain,
% 169.84/170.14 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_626]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_624,plain,
% 169.84/170.14 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12619_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15271,plain,
% 169.84/170.14 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 169.84/170.14 inference(copy,[status(esa)],[c_624]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_623,plain,
% 169.84/170.14 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12646_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15269,plain,
% 169.84/170.14 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_623]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_621,plain,
% 169.84/170.14 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13644_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15265,plain,
% 169.84/170.14 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy ),
% 169.84/170.14 inference(copy,[status(esa)],[c_621]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_619,plain,
% 169.84/170.14 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13646_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15261,plain,
% 169.84/170.14 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer ),
% 169.84/170.14 inference(copy,[status(esa)],[c_619]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_617,plain,
% 169.84/170.14 ( c_Suc(X0) != c_0 ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13648_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15257,plain,
% 169.84/170.14 ( c_Suc(X0) != c_0 ),
% 169.84/170.14 inference(copy,[status(esa)],[c_617]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_615,plain,
% 169.84/170.14 ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13773_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15253,plain,
% 169.84/170.14 ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
% 169.84/170.14 inference(copy,[status(esa)],[c_615]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_614,plain,
% 169.84/170.14 ( c_UNIV != c_emptyset ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13774_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15251,plain,
% 169.84/170.14 ( c_UNIV != c_emptyset ),
% 169.84/170.14 inference(copy,[status(esa)],[c_614]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_612,plain,
% 169.84/170.14 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13776_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15247,plain,
% 169.84/170.14 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 169.84/170.14 inference(copy,[status(esa)],[c_612]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_611,plain,
% 169.84/170.14 ( c_1 != c_0 ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13777_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15245,plain,( c_1 != c_0 ),inference(copy,[status(esa)],[c_611]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_609,plain,
% 169.84/170.14 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13779_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15241,plain,
% 169.84/170.14 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 169.84/170.14 inference(copy,[status(esa)],[c_609]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_576,plain,
% 169.84/170.14 ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11094_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15207,plain,
% 169.84/170.14 ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_576]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_563,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11163_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15193,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_563]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_562,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11164_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15191,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_562]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_558,plain,
% 169.84/170.14 ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11190_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15186,plain,
% 169.84/170.14 ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_558]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_549,plain,
% 169.84/170.14 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11250_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15176,plain,
% 169.84/170.14 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_549]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_546,plain,
% 169.84/170.14 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11261_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15172,plain,
% 169.84/170.14 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_546]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_439,plain,
% 169.84/170.14 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11886_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15064,plain,
% 169.84/170.14 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_439]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_438,plain,
% 169.84/170.14 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11895_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15062,plain,
% 169.84/170.14 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_438]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_433,plain,
% 169.84/170.14 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_11948_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15056,plain,
% 169.84/170.14 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_433]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_417,plain,
% 169.84/170.14 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12045_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15039,plain,
% 169.84/170.14 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_417]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_416,plain,
% 169.84/170.14 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12046_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15037,plain,
% 169.84/170.14 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_416]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_414,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12050_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15034,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_414]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_413,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12051_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15032,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_413]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_412,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12052_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15030,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_412]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_411,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12053_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15028,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_411]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_410,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12054_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15026,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_410]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_409,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12055_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15024,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_409]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_408,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12056_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15022,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_408]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_407,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12057_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15020,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_407]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_406,plain,
% 169.84/170.14 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12063_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15018,plain,
% 169.84/170.14 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_406]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_405,plain,
% 169.84/170.14 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12068_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15016,plain,
% 169.84/170.14 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_405]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_398,plain,
% 169.84/170.14 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12075_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15008,plain,
% 169.84/170.14 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_398]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_397,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12076_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15006,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_397]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_396,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12077_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15004,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_396]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_395,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12078_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15002,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_395]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_394,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12079_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_15000,plain,
% 169.84/170.14 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_394]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_392,plain,
% 169.84/170.14 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12097_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14997,plain,
% 169.84/170.14 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_392]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_380,plain,
% 169.84/170.14 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12168_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14984,plain,
% 169.84/170.14 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_380]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_369,plain,
% 169.84/170.14 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12201_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14972,plain,
% 169.84/170.14 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_369]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_360,plain,
% 169.84/170.14 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12235_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14962,plain,
% 169.84/170.14 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_360]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_359,plain,
% 169.84/170.14 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12236_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14960,plain,
% 169.84/170.14 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_359]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_354,plain,
% 169.84/170.14 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12265_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14954,plain,
% 169.84/170.14 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_354]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_349,plain,
% 169.84/170.14 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12327_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14948,plain,
% 169.84/170.14 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_349]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_348,plain,
% 169.84/170.14 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12328_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14946,plain,
% 169.84/170.14 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_348]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_343,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12350_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14940,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_343]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_342,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12351_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14938,plain,
% 169.84/170.14 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_342]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_339,plain,
% 169.84/170.14 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12363_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14934,plain,
% 169.84/170.14 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_339]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_338,plain,
% 169.84/170.14 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12364_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14932,plain,
% 169.84/170.14 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_338]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_330,plain,
% 169.84/170.14 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12415_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14923,plain,
% 169.84/170.14 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_330]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_328,plain,
% 169.84/170.14 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12423_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14920,plain,
% 169.84/170.14 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_328]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_323,plain,
% 169.84/170.14 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12428_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14913,plain,
% 169.84/170.14 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_323]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_322,plain,
% 169.84/170.14 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12429_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14911,plain,
% 169.84/170.14 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_322]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_321,plain,
% 169.84/170.14 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12437_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14909,plain,
% 169.84/170.14 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_321]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_319,plain,
% 169.84/170.14 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12439_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14906,plain,
% 169.84/170.14 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_319]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_318,plain,
% 169.84/170.14 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12440_0) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_14904,plain,
% 169.84/170.14 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 169.84/170.14 inference(copy,[status(esa)],[c_318]) ).
% 169.84/170.14
% 169.84/170.14 cnf(c_317,plain,
% 169.84/170.14 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.84/170.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12441_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14902,plain,
% 169.84/170.15 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_317]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_272,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12499_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14853,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_272]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_268,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12503_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14848,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_268]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_267,plain,
% 169.84/170.15 ( c_in(X0,c_UNIV,X1) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12504_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14846,plain,
% 169.84/170.15 ( c_in(X0,c_UNIV,X1) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_267]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_239,plain,
% 169.84/170.15 ( c_lessequals(c_0,X0,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12532_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14817,plain,
% 169.84/170.15 ( c_lessequals(c_0,X0,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_239]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_238,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12533_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14815,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_238]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_237,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12534_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14813,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_237]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_236,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12535_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14811,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_236]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_235,plain,
% 169.84/170.15 ( c_less(c_0,c_1,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12541_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14809,plain,
% 169.84/170.15 ( c_less(c_0,c_1,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_235]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_234,plain,
% 169.84/170.15 ( c_lessequals(c_0,c_0,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12542_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14807,plain,
% 169.84/170.15 ( c_lessequals(c_0,c_0,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_234]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_232,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12544_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14804,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_232]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_231,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12545_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14802,plain,
% 169.84/170.15 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_231]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_223,plain,
% 169.84/170.15 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12570_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14793,plain,
% 169.84/170.15 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_223]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_217,plain,
% 169.84/170.15 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12576_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14786,plain,
% 169.84/170.15 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_217]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_213,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12601_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14781,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_213]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_170,plain,
% 169.84/170.15 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12685_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14737,plain,
% 169.84/170.15 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_170]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_168,plain,
% 169.84/170.15 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12687_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14734,plain,
% 169.84/170.15 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_168]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_161,plain,
% 169.84/170.15 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_12694_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14726,plain,
% 169.84/170.15 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_161]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_155,plain,
% 169.84/170.15 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13607_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14719,plain,
% 169.84/170.15 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_155]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_154,plain,
% 169.84/170.15 ( c_Parity_Oeven(c_0,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13608_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14717,plain,
% 169.84/170.15 ( c_Parity_Oeven(c_0,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_154]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_128,plain,
% 169.84/170.15 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13634_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14690,plain,
% 169.84/170.15 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_128]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_127,plain,
% 169.84/170.15 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13635_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14688,plain,
% 169.84/170.15 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_127]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_126,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_set(X0)) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13636_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14686,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_set(X0)) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_126]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_125,plain,
% 169.84/170.15 ( class_Orderings_Oorder(tc_set(X0)) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13637_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14684,plain,
% 169.84/170.15 ( class_Orderings_Oorder(tc_set(X0)) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_125]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_124,plain,
% 169.84/170.15 ( class_Orderings_Oord(tc_set(X0)) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13638_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14682,plain,
% 169.84/170.15 ( class_Orderings_Oord(tc_set(X0)) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_124]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_123,plain,
% 169.84/170.15 ( class_HOL_Ominus(tc_set(X0)) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13639_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14680,plain,
% 169.84/170.15 ( class_HOL_Ominus(tc_set(X0)) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_123]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_114,plain,
% 169.84/170.15 ( class_HOL_Ominus(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13657_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14670,plain,
% 169.84/170.15 ( class_HOL_Ominus(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_114]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_113,plain,
% 169.84/170.15 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13658_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14668,plain,
% 169.84/170.15 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_113]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_112,plain,
% 169.84/170.15 ( class_Orderings_Olinorder(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13659_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14666,plain,
% 169.84/170.15 ( class_Orderings_Olinorder(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_112]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_111,plain,
% 169.84/170.15 ( class_LOrder_Olorder(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13660_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14664,plain,
% 169.84/170.15 ( class_LOrder_Olorder(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_111]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_110,plain,
% 169.84/170.15 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13661_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14662,plain,
% 169.84/170.15 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_110]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_109,plain,
% 169.84/170.15 ( class_Parity_Oeven__odd(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13662_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14660,plain,
% 169.84/170.15 ( class_Parity_Oeven__odd(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_109]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_108,plain,
% 169.84/170.15 ( class_Numeral_Onumber(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13663_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14658,plain,
% 169.84/170.15 ( class_Numeral_Onumber(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_108]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_107,plain,
% 169.84/170.15 ( class_Power_Orecpower(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13664_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14656,plain,
% 169.84/170.15 ( class_Power_Orecpower(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_107]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_106,plain,
% 169.84/170.15 ( class_Divides_Odiv(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13665_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14654,plain,
% 169.84/170.15 ( class_Divides_Odiv(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_106]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_105,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13666_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14652,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_105]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_104,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13667_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14650,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_104]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_103,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13668_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14648,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_103]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_102,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13669_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14646,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_102]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_101,plain,
% 169.84/170.15 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13670_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14644,plain,
% 169.84/170.15 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_101]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_100,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13671_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14642,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_100]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_99,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13672_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14640,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_99]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_98,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13673_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14638,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_98]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_97,plain,
% 169.84/170.15 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13674_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14636,plain,
% 169.84/170.15 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_97]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_96,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13675_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14634,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_96]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_95,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13676_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14632,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_95]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_94,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13677_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14630,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_94]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_93,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13678_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14628,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_93]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_92,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13679_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14626,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_92]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_91,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13680_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14624,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_91]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_90,plain,
% 169.84/170.15 ( class_Orderings_Oorder(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13681_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14622,plain,
% 169.84/170.15 ( class_Orderings_Oorder(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_90]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_89,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13682_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14620,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_89]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_88,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13683_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14618,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_88]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_87,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13684_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14616,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_87]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_86,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13685_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14614,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_86]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_85,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13686_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14612,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_85]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_84,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13687_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14610,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_84]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_83,plain,
% 169.84/170.15 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13688_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14608,plain,
% 169.84/170.15 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_83]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_82,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13689_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14606,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_82]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_81,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13690_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14604,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_81]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_80,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13691_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14602,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_80]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_79,plain,
% 169.84/170.15 ( class_Orderings_Oord(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13692_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14600,plain,
% 169.84/170.15 ( class_Orderings_Oord(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_79]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_78,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13693_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14598,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_78]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_77,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13694_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14596,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_77]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_76,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13695_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14594,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_76]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_75,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13696_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14592,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_75]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_74,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13697_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14590,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_74]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_73,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13698_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14588,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_73]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_72,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13699_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14586,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_72]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_71,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13700_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14584,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_71]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_70,plain,
% 169.84/170.15 ( class_HOL_Otimes(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13701_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14582,plain,
% 169.84/170.15 ( class_HOL_Otimes(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_70]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_69,plain,
% 169.84/170.15 ( class_HOL_Oplus(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13702_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14580,plain,
% 169.84/170.15 ( class_HOL_Oplus(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_69]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_68,plain,
% 169.84/170.15 ( class_HOL_Ozero(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13703_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14578,plain,
% 169.84/170.15 ( class_HOL_Ozero(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_68]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_67,plain,
% 169.84/170.15 ( class_HOL_Oone(tc_nat) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13704_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14576,plain,
% 169.84/170.15 ( class_HOL_Oone(tc_nat) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_67]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_66,plain,
% 169.84/170.15 ( class_Finite__Set_Ofinite(tc_bool) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13705_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14574,plain,
% 169.84/170.15 ( class_Finite__Set_Ofinite(tc_bool) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_66]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_65,plain,
% 169.84/170.15 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13706_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14572,plain,
% 169.84/170.15 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_65]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_64,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13707_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14570,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_64]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_63,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13708_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14568,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_63]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_62,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13709_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14566,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_62]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_61,plain,
% 169.84/170.15 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13710_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14564,plain,
% 169.84/170.15 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_61]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_60,plain,
% 169.84/170.15 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13711_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14562,plain,
% 169.84/170.15 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_60]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_59,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13712_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14560,plain,
% 169.84/170.15 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_59]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_58,plain,
% 169.84/170.15 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13713_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14558,plain,
% 169.84/170.15 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_58]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_57,plain,
% 169.84/170.15 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13714_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14556,plain,
% 169.84/170.15 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_57]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_56,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13715_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14554,plain,
% 169.84/170.15 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_56]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_55,plain,
% 169.84/170.15 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13716_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14552,plain,
% 169.84/170.15 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_55]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_54,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13717_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14550,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_54]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_53,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13718_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14548,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_53]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_52,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13719_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14546,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_52]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_51,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13720_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14544,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_51]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_50,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13721_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14542,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_50]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_49,plain,
% 169.84/170.15 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13722_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14540,plain,
% 169.84/170.15 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_49]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_48,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13723_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14538,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_48]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_47,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13724_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14536,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_47]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_46,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13725_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14534,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_46]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_45,plain,
% 169.84/170.15 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13726_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14532,plain,
% 169.84/170.15 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_45]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_44,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13727_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14530,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_44]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_43,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13728_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14528,plain,
% 169.84/170.15 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_43]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_42,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13729_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14526,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_42]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_41,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13730_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14524,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_41]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_40,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13731_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14522,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_40]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_39,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13732_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14520,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_39]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_38,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13733_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14518,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_38]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_37,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13734_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14516,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_37]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_36,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13735_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14514,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_36]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_35,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13736_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14512,plain,
% 169.84/170.15 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_35]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_34,plain,
% 169.84/170.15 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13737_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14510,plain,
% 169.84/170.15 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_34]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_33,plain,
% 169.84/170.15 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13738_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14508,plain,
% 169.84/170.15 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_33]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_32,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13739_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14506,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_32]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_31,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13740_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14504,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_31]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_30,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13741_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14502,plain,
% 169.84/170.15 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_30]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_29,plain,
% 169.84/170.15 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13742_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14500,plain,
% 169.84/170.15 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_29]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_28,plain,
% 169.84/170.15 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13743_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14498,plain,
% 169.84/170.15 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_28]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_27,plain,
% 169.84/170.15 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13744_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14496,plain,
% 169.84/170.15 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_27]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_26,plain,
% 169.84/170.15 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13745_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14494,plain,
% 169.84/170.15 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_26]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_25,plain,
% 169.84/170.15 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13746_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14492,plain,
% 169.84/170.15 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_25]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_24,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13747_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14490,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_24]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_23,plain,
% 169.84/170.15 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13748_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14488,plain,
% 169.84/170.15 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_23]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_22,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13749_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14486,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_22]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_21,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13750_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14484,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_21]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_20,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13751_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14482,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_20]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_19,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13752_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14480,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_19]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_18,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13753_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14478,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_18]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_17,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13754_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14476,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_17]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_16,plain,
% 169.84/170.15 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13755_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14474,plain,
% 169.84/170.15 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_16]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_15,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13756_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14472,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_15]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13757_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14470,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_14]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_13,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13758_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14468,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_13]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_12,plain,
% 169.84/170.15 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13759_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14466,plain,
% 169.84/170.15 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_12]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_11,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13760_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14464,plain,
% 169.84/170.15 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_11]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_10,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13761_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14462,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_10]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_9,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13762_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14460,plain,
% 169.84/170.15 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_9]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_8,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13763_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14458,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_8]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_7,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13764_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14456,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_7]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_6,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13765_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14454,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_6]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_5,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13766_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14452,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_5]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_4,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13767_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14450,plain,
% 169.84/170.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_4]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_3,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13768_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14448,plain,
% 169.84/170.15 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_3]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_2,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13769_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14446,plain,
% 169.84/170.15 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_2]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_1,plain,
% 169.84/170.15 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13770_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14444,plain,
% 169.84/170.15 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_1]) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_0,plain,
% 169.84/170.15 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 169.84/170.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_612923.p', c_0_13771_0) ).
% 169.84/170.15
% 169.84/170.15 cnf(c_14442,plain,
% 169.84/170.15 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 169.84/170.15 inference(copy,[status(esa)],[c_0]) ).
% 169.84/170.15
% 169.84/170.15
% 169.84/170.15
% 169.84/170.15 % ------ Statistics
% 169.84/170.15
% 169.84/170.15 % ------ General
% 169.84/170.15
% 169.84/170.15 % num_of_input_clauses: 6030
% 169.84/170.15 % num_of_input_neg_conjectures: 2
% 169.84/170.15 % num_of_splits: 0
% 169.84/170.15 % num_of_split_atoms: 0
% 169.84/170.15 % num_of_sem_filtered_clauses: 0
% 169.84/170.15 % num_of_subtypes: 0
% 169.84/170.15 % monotx_restored_types: 0
% 169.84/170.15 % sat_num_of_epr_types: 0
% 169.84/170.15 % sat_num_of_non_cyclic_types: 0
% 169.84/170.15 % sat_guarded_non_collapsed_types: 0
% 169.84/170.15 % is_epr: 0
% 169.84/170.15 % is_horn: 0
% 169.84/170.15 % has_eq: 1
% 169.84/170.15 % num_pure_diseq_elim: 0
% 169.84/170.15 % simp_replaced_by: 0
% 169.84/170.15 % res_preprocessed: 4
% 169.84/170.15 % prep_upred: 0
% 169.84/170.15 % prep_unflattend: 0
% 169.84/170.15 % pred_elim_cands: 0
% 169.84/170.15 % pred_elim: 0
% 169.84/170.15 % pred_elim_cl: 0
% 169.84/170.15 % pred_elim_cycles: 0
% 169.84/170.15 % forced_gc_time: 0
% 169.84/170.15 % gc_basic_clause_elim: 0
% 169.84/170.15 % parsing_time: 0.119
% 169.84/170.15 % sem_filter_time: 0.
% 169.84/170.15 % pred_elim_time: 0.
% 169.84/170.15 % out_proof_time: 0.
% 169.84/170.15 % monotx_time: 0.
% 169.84/170.15 % subtype_inf_time: 0.
% 169.84/170.15 % unif_index_cands_time: 0.
% 169.84/170.15 % unif_index_add_time: 0.011
% 169.84/170.15 % total_time: 18.992
% 169.84/170.15 % num_of_symbols: 359
% 169.84/170.15 % num_of_terms: 9853
% 169.84/170.15
% 169.84/170.15 % ------ Propositional Solver
% 169.84/170.15
% 169.84/170.15 % prop_solver_calls: 1
% 169.84/170.15 % prop_fast_solver_calls: 12
% 169.84/170.15 % prop_num_of_clauses: 6101
% 169.84/170.15 % prop_preprocess_simplified: 17665
% 169.84/170.15 % prop_fo_subsumed: 0
% 169.84/170.15 % prop_solver_time: 0.
% 169.84/170.15 % prop_fast_solver_time: 0.
% 169.84/170.15 % prop_unsat_core_time: 0.
% 169.84/170.15
% 169.84/170.15 % ------ QBF
% 169.84/170.15
% 169.84/170.15 % qbf_q_res: 0
% 169.84/170.15 % qbf_num_tautologies: 0
% 169.84/170.15 % qbf_prep_cycles: 0
% 169.84/170.15
% 169.84/170.15 % ------ BMC1
% 169.84/170.15
% 169.84/170.15 % bmc1_current_bound: -1
% 169.84/170.15 % bmc1_last_solved_bound: -1
% 169.84/170.15 % bmc1_unsat_core_size: -1
% 169.84/170.15 % bmc1_unsat_core_parents_size: -1
% 169.84/170.15 % bmc1_merge_next_fun: 0
% 169.84/170.15 % bmc1_unsat_core_clauses_time: 0.
% 169.84/170.15
% 169.84/170.15 % ------ Instantiation
% 169.84/170.15
% 169.84/170.15 % inst_num_of_clauses: 5901
% 169.84/170.15 % inst_num_in_passive: 0
% 169.84/170.15 % inst_num_in_active: 0
% 169.84/170.15 % inst_num_in_unprocessed: 6030
% 169.84/170.15 % inst_num_of_loops: 0
% 169.84/170.15 % inst_num_of_learning_restarts: 0
% 169.84/170.15 % inst_num_moves_active_passive: 0
% 169.84/170.15 % inst_lit_activity: 0
% 169.84/170.15 % inst_lit_activity_moves: 0
% 169.84/170.15 % inst_num_tautologies: 0
% 169.84/170.15 % inst_num_prop_implied: 0
% 169.84/170.15 % inst_num_existing_simplified: 0
% 169.84/170.15 % inst_num_eq_res_simplified: 0
% 169.84/170.15 % inst_num_child_elim: 0
% 169.84/170.15 % inst_num_of_dismatching_blockings: 0
% 169.84/170.15 % inst_num_of_non_proper_insts: 0
% 169.84/170.15 % inst_num_of_duplicates: 0
% 169.84/170.15 % inst_inst_num_from_inst_to_res: 0
% 169.84/170.15 % inst_dismatching_checking_time: 0.
% 169.84/170.15
% 169.84/170.15 % ------ Resolution
% 169.84/170.15
% 169.84/170.15 % res_num_of_clauses: 6283
% 169.84/170.15 % res_num_in_passive: 0
% 169.84/170.15 % res_num_in_active: 2369
% 169.84/170.15 % res_num_of_loops: 5
% 169.84/170.15 % res_forward_subset_subsumed: 3244
% 169.84/170.15 % res_backward_subset_subsumed: 0
% 169.84/170.15 % res_forward_subsumed: 0
% 169.84/170.15 % res_backward_subsumed: 0
% 169.84/170.15 % res_forward_subsumption_resolution: 0
% 169.84/170.15 % res_backward_subsumption_resolution: 0
% 169.84/170.15 % res_clause_to_clause_subsumption: 1
% 169.84/170.15 % res_orphan_elimination: 0
% 169.84/170.15 % res_tautology_del: 1
% 169.84/170.15 % res_num_eq_res_simplified: 0
% 169.84/170.15 % res_num_sel_changes: 0
% 169.84/170.15 % res_moves_from_active_to_pass: 0
% 169.84/170.15
% 169.84/170.15 % Status Unknown
% 169.84/170.16 % Last status :
% 169.84/170.16 % SZS status Unknown
%------------------------------------------------------------------------------